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Author ID: di-nola.antonio Recent zbMATH articles by "Di Nola, Antonio"
Published as: Di Nola, Antonio; Di Nola, A.; di Nola, Antonio; di Nola, A.
Homepage: https://docenti.unisa.it/003255/en/curriculum
External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp
Documents Indexed: 207 Publications since 1977, including 1 Book
4 Contributions as Editor
Reviewing Activity: 52 Reviews
Biographic References: 2 Publications
Co-Authors: 79 Co-Authors with 204 Joint Publications
1,771 Co-Co-Authors
all top 5

Co-Authors

7 single-authored
51 Sessa, Salvatore
26 Lenzi, Giacomo
26 Pedrycz, Witold
25 Lettieri, Ada
23 Belluce, Lawrence Peter
19 Grigolia, Revaz
15 Ventre, Aldo Giuseppe Saverio
14 Dvurečenskij, Anatolij
11 Georgescu, George
10 Vitale, Gaetano
9 Gerla, Brunella
8 Leuştean, Ioana
5 Gerla, Giangiacomo
4 Ferraioli, Anna Rita
4 Kołodziejczyk, Waldemar
4 Lapenta, Serafina
4 Russo, Ciro
4 Spada, Luca
3 Amato, Paolo
3 Ciaramella, Angelo
3 Esteva, Francesc
3 Godo, Lluís
3 Manara, Corrado
3 Navara, Mirko
3 Tagliaferri, Roberto
3 Wang, Peizhuang
2 Bede, Barnabás
2 Flondor, Paul
2 Garcia, Pere
2 Hyčko, Marek
2 Iorgulescu, Afrodita
2 Leuştean, Laurenţiu
2 Liparteliani, Ramaz
2 Nam, Tran Giang
2 Sanchez, Elie
1 Aguzzoli, Stefano
1 Bělohlávek, Radim
1 Boccuto, Antonio
1 Borzooei, Rajab Ali
1 Ciabattoni, Agata
1 Cignoli, Roberto
1 Csuhaj-Varjú, Erzsébet
1 Daňková, Martina
1 Esposito, I.
1 Fadini, Angelo
1 Giuntini, Roberto
1 Guo, Sizhong
1 Higashi, Masahiko
1 Holcapek, Michal
1 Jakubík, Ján
1 Jana, Purbita
1 Jenča, Gejza
1 Kreinovich, Vladik Yakovlevich
1 Liguori, Fortunata
1 Linawaty, Maria
1 Loia, Vincenzo
1 Marchioni, Enrico
1 Martini, Giulia Barbara
1 Mitskevich, Nunu
1 Montagna, Franco
1 Mundici, Daniele
1 Nguyen, Hung Trung
1 Niederkorn, Philippe
1 Nobuhara, Hajime
1 Novák, Vilém
1 Panti, Giovanni
1 Păun, Gheorghe
1 Pedaci, Immacolata
1 Pérez-Jiménez, Mario J.
1 Perfilieva, Irina G.
1 Russo, Anna Carla
1 Scozzafava, Romano
1 Shenavaei, M.
1 Staiano, Antonino
1 Toffalori, Carlo
1 Tsinakis, Constantine
1 Ursini, Aldo
1 Vaszil, Gyorgy
1 Zahiri, Omid
all top 5

Serials

19 Fuzzy Sets and Systems
11 Bulletin pour les Sous Ensembles Flous et Leurs Applications
7 Algebra Universalis
7 International Journal of Approximate Reasoning
7 Soft Computing
6 Journal of Mathematical Analysis and Applications
6 Mathematica Slovaca
6 Annals of Pure and Applied Logic
6 Mathematical Logic Quarterly (MLQ)
5 Information Sciences
5 Journal of Algebra
5 Studia Logica
5 Order
5 Journal of Logic and Computation
5 Archive for Mathematical Logic
4 Communications in Algebra
4 Kybernetes
4 Stochastica
4 Azerbaijan Journal of Mathematics
3 Discrete Mathematics
3 International Journal of General Systems
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Multiple-Valued Logic
2 The Journal of Symbolic Logic
2 Kybernetika
2 Ricerche di Matematica
2 La Ricerca. Matemàtiche Pure ed Applicate
2 International Journal of Intelligent Systems
2 Tatra Mountains Mathematical Publications
2 Journal of Applied Non-Classical Logics
2 Journal of Multiple-Valued Logic and Soft Computing
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Economic Computation and Economic Cybernetics Studies and Research
1 Glasgow Mathematical Journal
1 Journal of Combinatorics, Information & System Sciences
1 Journal of Pure and Applied Algebra
1 Mathematica Japonica
1 Portugaliae Mathematica
1 RAIRO, Automatique, Systems Analysis and Control
1 Simon Stevin
1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik
1 Cybernetics and Systems
1 Forum Mathematicum
1 Linear Algebra and its Applications
1 Studia Universitatis Babeș-Bolyai. Mathematica
1 Bollettino della Unione Matemàtica Italiana. Serie VI. B
1 Applied Categorical Structures
1 The Journal of Fuzzy Mathematics
1 Annals of Mathematics and Artificial Intelligence
1 Logic Journal of the IGPL
1 Fundamenta Informaticae
1 Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics
1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
1 Journal of the Australian Mathematical Society
1 Journal of Algebra and its Applications
1 Journal of Applied Logic
1 Fuzzy Optimization and Decision Making
1 Theory and Decision Library. Series D: System Theory, Knowledge Engineering and Problem Solving
1 Advances in Soft Computing
1 Journal of Logic and Analysis
1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle (RAIRO). Informatique
1 Transactions of A. Razmadze Mathematical Institute
1 Categories and General Algebraic Structures with Applications
1 Journal of Applied Logics - IfCoLog Journal of Logics and their Applications

Publications by Year

Citations contained in zbMATH Open

154 Publications have been cited 1,611 times in 879 Documents Cited by Year
Fuzzy relation equations and their applications to knowledge engineering. Foreword by Lotfi A. Zadeh. Zbl 0694.94025
Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold; Sanchez, Elie
146
1989
Pseudo-BL algebras. I. Zbl 1028.06007
Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita
96
2002
Pseudo-BL algebras. II. Zbl 1028.06008
Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita
64
2002
Perfect MV-algebras are categorically equivalent to Abelian \(l\)-groups. Zbl 0812.06010
Di Nola, Antonio; Lettieri, Ada
58
1994
State-morphism MV-algebras. Zbl 1186.06007
Di Nola, Antonio; Dvurečenskij, Anatolij
39
2009
Equational characterization of all varieties of MV-algebras. Zbl 0946.06009
Di Nola, Antonio; Lettieri, Ada
34
1999
On monadic MV-algebras. Zbl 1052.06010
Di Nola, Antonio; Grigolia, Revaz
33
2004
Local MV-algebras. Zbl 0817.06011
Belluce, L. P.; Di Nola, A.; Lettieri, A.
31
1993
Algebras of Lukasiewicz’s logic and their semiring reducts. Zbl 1081.06009
Di Nola, A.; Gerla, B.
31
2005
Algebraic analysis of fuzzy systems. Zbl 1110.93012
Di Nola, Antonio; Lettieri, Ada; Perfilieva, Irina; Novák, Vilém
30
2007
Product MV-algebras. Zbl 1016.06006
Di Nola, A.; Dvurecenskij, A.
29
2001
Compact representations of BL-algebras. Zbl 1040.03048
Di Nola, Antonio; Leuştean, Laurenţiu
28
2003
Fuzzy relation equation under a class of triangular norms: A survey and new results. Zbl 0581.04002
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore; Wang, Peizhuang
26
1984
Relational equations in totally ordered lattices and their complete resolution. Zbl 0588.04006
Di Nola, Antonio
25
1985
On the set of solutions of composite fuzzy relation equations. Zbl 0514.94027
Di Nola, Antonio; Sessa, Salvatore
25
1983
Fuzzy relation equations theory as a basis of fuzzy modelling: An overview. Zbl 0727.04005
Di Nola, A.; Pedrycz, W.; Sessa, S.; Sanchez, E.
24
1991
Representation and reticulation by quotients of MV-algebras. Zbl 0767.06013
Di Nola, Antonio
23
1991
On varieties of MV-algebras with internal states. Zbl 1213.06006
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
22
2010
Łukasiewicz transform and its application to compression and reconstruction of digital images. Zbl 1114.06009
Di Nola, A.; Russo, C.
22
2007
Lattice valued algebras. Zbl 0681.08002
Di Nola, A.; Gerla, Giangiacomo
22
1987
Further contributions to the study of finite fuzzy relation equations. Zbl 0645.04003
Guo, Sizhong; Wang, Peizhuang; Di Nola, A.; Sessa, S.
20
1988
Łukasiewicz logic and Riesz spaces. Zbl 1331.06004
Di Nola, Antonio; Leuştean, Ioana
20
2014
Boolean products of BL-algebras. Zbl 0966.03055
Di Nola, Antonio; Georgescu, George; Leuştean, Laurenţiu
19
2000
How many lower solutions does a fuzzy relation equation have? Zbl 0581.04001
Wang, Peizhuang; Sessa, Salvatore; Di Nola, Antonio; Pedrycz, Witold
19
1984
One chain generated varieties of MV-algebras. Zbl 0949.06004
Di Nola, Antonio; Lettieri, Ada
18
2000
Łukasiewicz logic and MV-algebras. Zbl 1284.03178
Di Nola, Antonio; Leuştean, Ioana
17
2011
Good and bad infinitesimals, and states on pseudo MV-algebras. Zbl 1081.06010
Di Nola, Antonio; Dvurečenskij, Anatolij; Jakubík, Ján
16
2004
When is a fuzzy relation decomposable in two fuzzy sets? Zbl 0576.08001
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
16
1985
Perfect GMV-algebras. Zbl 1146.06007
Di Nola, A.; Dvurečenskij, A.; Tsinakis, C.
16
2008
On some classes of state-morphism MV-algebras. Zbl 1212.06028
Di Nola, Antonio; Dvurečenskij, Anatolij
15
2009
Finitely generated free MV-algebras and their automorphism groups. Zbl 0964.06010
Di Nola, Antonio; Grigolia, Revaz; Panti, Giovanni
15
1998
MV-modules. Zbl 1025.06009
Di Nola, Antonio; Flondor, Paul; Leuştean, Ioana
15
2003
On the fuzziness of solutions of sigma-fuzzy relation equations on finite spaces. Zbl 0523.04002
Di Nola, Antonio; Sessa, Salvatore
15
1983
Approximation by pseudo-linear operators. Zbl 1173.41010
Bede, Barnabás; Nobuhara, Hajime; Daňková, Martina; Di Nola, Antonio
14
2008
On solving relational equations in Brouwerian lattices. Zbl 0701.04003
Di Nola, Antonio
14
1990
The prime spectrum of an MV-algebra. Zbl 0815.06010
Belluce, L. P.; Di Nola, Antonio; Sessa, Salvatore
13
1994
Commutative rings whose ideals form an MV-algebra. Zbl 1180.06008
Belluce, Lawrence P.; Di Nola, Antonio
13
2009
Coproduct MV-algebras, nonstandard reals, and Riesz spaces. Zbl 0864.06005
Di Nola, A.; Lettieri, A.
13
1996
Yosida type representation for perfect MV-algebras. Zbl 0864.06004
Belluce, Lawrence P.; Di Nola, Antonio
13
1996
MV-semirings and their sheaf representations. Zbl 1263.06004
Belluce, Lawrence Peter; Di Nola, Antonio; Ferraioli, Anna Rita
13
2013
On some chains of fuzzy sets. Zbl 0444.94050
Di Nola, Antonio; Ventre, Aldo G. S.
12
1980
Fuzzy relation equations with equality and difference composition operators. Zbl 0645.04004
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
12
1988
Semiring and semimodule issues in MV-algebras. Zbl 1317.06012
Di Nola, Antonio; Russo, Ciro
12
2013
Local algebras in the representation of MV-algebras. Zbl 1113.06005
Di Nola, A.; Esposito, I.; Gerla, B.
12
2007
Perfect MV-algebras and their logic. Zbl 1123.06006
Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella
12
2007
Fuzzy relational neural network. Zbl 1093.68078
Ciaramella, A.; Tagliaferri, R.; Pedrycz, W.; Di Nola, A.
12
2006
Some theoretical aspects of fuzzy-relation equations describing fuzzy systems. Zbl 0557.93004
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
11
1984
Decomposition problem of fuzzy relations. Zbl 0559.04004
Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold
11
1985
Using maximal ideals in the classification of MV-algebras. Zbl 0799.06021
Di Nola, Antonio; Liguori, Fortunata; Sessa, Salvatore
10
1993
The \(\sigma\)-complete MV-algebras which have enough states. Zbl 1081.06011
Di Nola, Antonio; Navara, Mirko
10
2005
Finite BL-algebras. Zbl 1025.06008
Di Nola, Antonio; Lettieri, Ada
10
2003
The semiring-theoretic approach to MV-algebras: a survey. Zbl 1368.06006
Di Nola, Antonio; Russo, Ciro
10
2015
Fuzzy models of first order languages. Zbl 0583.03043
Di Nola, Antonio; Gerla, Giangiacomo
9
1986
Gödel spaces and perfect MV-algebras. Zbl 1380.06007
Di Nola, Antonio; Grigolia, Revaz
9
2015
Convergence of powers of reciprocal fuzzy matrices. Zbl 0803.15014
Di Nola, Antonio; Kolodziejczyk, Waldemar; Sessa, Salvatore
8
1993
Projective MV-algebras and their automorphism groups. Zbl 1045.06004
Di Nola, Antonio; Grigolia, Revaz
8
2003
Relation equations in residuated lattices. Zbl 0691.06002
Di Nola, Antonio; Lettieri, Ada
8
1989
Entropy and energy measure characterization of resolution of some fuzzy relational equations. Zbl 0525.04002
Di Nola, Antonio; Pedrycz, Witold
8
1982
Energy and entropy measures of fuzziness of solutions of fuzzy relation equations with continuous triangular norms. Zbl 0525.04003
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
8
1983
Varieties of BL-algebras. Zbl 1092.03036
Di Nola, A.; Esteva, F.; Godo, L.; Montagna, F.
8
2005
The variety generated by perfect BL-algebras: an algebraic approach in a fuzzy logic setting. Zbl 1004.03023
Di Nola, Antonio; Sessa, Salvatore; Esteva, Francesc; Godo, Lluis; Garcia, Pere
8
2002
Entropy on effect algebras with Riesz decomposition property. II: MV-algebras. Zbl 1249.03116
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
8
2005
An aspect of discrepancy in the implementation of modus ponens in the presence of fuzzy quantities. Zbl 0676.68055
di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
8
1989
Conditional states in finite-valued logics. Zbl 0942.06004
Di Nola, Antonio; Georgescu, George; Lettieri, Ada
7
1999
Fuzzy relational structures: The state-of-art. Zbl 0852.04008
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
7
1995
On MV-algebras of continuous functions. Zbl 0831.06006
Di Nola, A.; Sessa, S.
6
1995
Finite fuzzy relation equations with a unique solution in linear lattices. Zbl 0661.04003
Di Nola, Antonio; Sessa, Salvatore
6
1988
Triangular norms, MV-algebras and bold fuzzy set theory. Zbl 0743.03016
Belluce, L. P.; Di Nola, A.; Sessa, S.
6
1991
On measures of fuzziness of solutions of fuzzy relation equations with generalized connectives. Zbl 0593.03011
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
6
1985
Erratum to “State-morphism MV-algebras”. Zbl 1221.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
6
2010
MV-algebras in duality with labelled root systems. Zbl 0992.06010
Di Nola, Antonio; Grigolia, Revaz
6
2002
Observables on perfect MV-algebras. Zbl 1423.06047
Di Nola, Antonio; Dvurečenskij, Anatolij; Lenzi, Giacomo
6
2019
Transitive solutions of relational equations on finite sets and linear lattices. Zbl 0786.15018
Di Nola, Antonio; Kolodziejczyk, Waldemar; Sessa, Salvatore
5
1991
The MV-algebra of first order Łukasiewicz logic. Zbl 1064.03015
Belluce, Lawrence P.; Di Nola, Antonio
5
2003
Pro-finite MV-spaces. Zbl 1051.06007
Di Nola, Antonio; Grigolia, Revaz
5
2004
On normal forms in Łukasiewicz logic. Zbl 1061.03026
Di Nola, A.; Lettieri, A.
5
2004
Procesing of fuzzy numbers by fuzzy relation equations. Zbl 0625.04006
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
5
1986
Using fuzzy relation equations in the construction of inference mechanisms in expert systems. Zbl 0625.68070
Di Nola, A.; Pedrycz, W.; Sessa, S.
5
1987
Subvarieties of BL-algebras generated by single-component chains. Zbl 1023.03060
Di Nola, Antonio; Esteva, Francesc; Garcia, Pere; Godo, Lluís; Sessa, Salvatore
5
2002
Priestley duality and quotient lattices of many-valued algebras. Zbl 0787.06013
Cignoli, R.; Di Nola, A.; Lettieri, A.
5
1991
Fuzzy relation equations under LSC and USC t-norms and their Boolean solutions. Zbl 0673.04003
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
5
1987
Ordering fuzzy sets by consensus concept and fuzzy relation equations. Zbl 0553.04007
Higashi, Masahiko; Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold
5
1984
On measures of fuzziness of solutions of composite fuzzy relation equations. Zbl 0566.04003
Di Nola, A.; Sessa, S.
5
1984
An analysis of the logic of Riesz spaces with strong unit. Zbl 1427.06008
Di Nola, Antonio; Lapenta, Serafina; Leuştean, Ioana
5
2018
On some finite fuzzy relation equations. Zbl 0688.90002
Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold
5
1990
States on perfect MV-algebras. Zbl 1016.06007
Di Nola, Antonio; Georgescu, George; Leiştean, Ioana
5
2000
On fuzzy integral inequalities and fuzzy expectation. Zbl 0654.28014
Di Nola, Antonio; Ventre, Aldo G. S.
4
1987
A study on approximate reasoning mechanisms via fuzzy relation equations. Zbl 0751.68072
Di Nola, Antonio; Sessa, Salvatore; Pedrycz, Witold
4
1992
Riesz MV-algebras and their logic. Zbl 1254.06008
Di Nola, Antonio; Leustean, Ioana
4
2011
Natural dualities for varieties of BL-algebras. Zbl 1087.06005
Di Nola, Antonio; Niederkorn, Philippe
4
2005
Abelian \(\ell\)-groups with strong unit and perfect MV-algebras. Zbl 1168.06006
Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella
4
2008
Riesz-McNaughton functions and Riesz MV-algebras of nonlinear functions. Zbl 1393.06008
Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano
4
2017
Representation of MV-algebras by regular ultrapowers of \([0,1]\). Zbl 1196.06005
Di Nola, Antonio; Lenzi, Giacomo; Spada, Luca
4
2010
Entropy on effect algebras with the Riesz decomposition property. I: Basic properties. Zbl 1249.03115
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
4
2005
Infinitary logic and basically disconnected compact Hausdorff spaces. Zbl 1444.03088
Di Nola, Antonio; Lapenta, Serafina; Leuştean, Ioana
4
2018
On some sequences of fuzzy sets. Zbl 0405.94029
di Nola, A.; Ventre, A. G. S.
3
1979
On some lattice quotients of \(MV\)-algebras. Zbl 0739.03038
Belluce, L. P.; Di Nola, A.; Lettieri, A.
3
1990
Subalgebras, direct products and associated lattices of MV-algebras. Zbl 0765.06012
Belluce, L. P.; Di Nola, A.; Lettieri, A.
3
1992
An algorithm of calculation of lower solutions of fuzzy relational equations. Zbl 0593.04005
Di Nola, Antonio
3
1984
On the Loomis-Sikorski theorem for MV-algebras with internal state. Zbl 1235.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
3
2010
Dualities and algebraic geometry of Baire functions in non-classical logic. Zbl 07423156
Di Nola, Antonio; Lapenta, Serafina; Lenzi, Giacomo
2
2021
An approach to stochastic processes via non-classical logic. Zbl 1491.06023
Di Nola, Antonio; Dvurečenskij, Anatolij; Lapenta, Serafina
1
2021
Observables on perfect MV-algebras. Zbl 1423.06047
Di Nola, Antonio; Dvurečenskij, Anatolij; Lenzi, Giacomo
6
2019
On the variety of Gödel MV-algebras. Zbl 1436.06029
Di Nola, Antonio; Grigolia, Revaz; Vitale, Gaetano
1
2019
Topological spaces of monadic MV-algebras. Zbl 1415.06003
Di Nola, Antonio; Grigolia, Revaz; Lenzi, Giacomo
1
2019
On injectivity of semimodules over additively idempotent division semirings and chain MV-semirings. Zbl 1485.16042
Di Nola, A.; Lenzi, G.; Nam, T. G.; Vannucci, S.
1
2019
An analysis of the logic of Riesz spaces with strong unit. Zbl 1427.06008
Di Nola, Antonio; Lapenta, Serafina; Leuştean, Ioana
5
2018
Infinitary logic and basically disconnected compact Hausdorff spaces. Zbl 1444.03088
Di Nola, Antonio; Lapenta, Serafina; Leuştean, Ioana
4
2018
Corrigendum to: “Semiring and semimodule issues in MV-algebras”. Zbl 1392.06009
Di Nola, Antonio; Russo, Ciro
1
2018
Algebraic geometry for \(\ell \)-groups. Zbl 1472.06023
Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano
1
2018
Duality theory and skeleta for semisimple MV-algebras. Zbl 1431.06004
Di Nola, Antonio; Lenzi, Giacomo
1
2018
Riesz-McNaughton functions and Riesz MV-algebras of nonlinear functions. Zbl 1393.06008
Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano
4
2017
On MV-algebras of non-linear functions. Zbl 1423.06046
Di Nola, A.; Lenzi, G.; Vitale, G.
3
2017
Affine representations of \(\ell\)-groups and MV-algebras. Zbl 1420.06012
Boccuto, Antonio; Di Nola, Antonio; Vitale, Gaetano
2
2017
Relative subalgebras of MV-algebras. Zbl 1420.06018
Belluce, Lawrence Peter; Di Nola, Antonio; Lenzi, Giacomo
2
2017
Combining Boolean algebras and \(\ell \)-groups in the variety generated by Chang’s MV-algebra. Zbl 1374.06020
Di Nola, A.; Ferraioli, A. R.; Gerla, B.
2
2016
The semiring-theoretic approach to MV-algebras: a survey. Zbl 1368.06006
Di Nola, Antonio; Russo, Ciro
10
2015
Gödel spaces and perfect MV-algebras. Zbl 1380.06007
Di Nola, Antonio; Grigolia, Revaz
9
2015
Multimodal epistemic Łukasiewicz logics with application in immune system. Zbl 1382.03046
Di Nola, Antonio; Grigolia, Revaz; Mitskevich, Nunu
1
2015
Łukasiewicz logic and Riesz spaces. Zbl 1331.06004
Di Nola, Antonio; Leuştean, Ioana
20
2014
Ideals of MV-semirings and MV-algebras. Zbl 1328.06010
Belluce, L. P.; Di Nola, A.; Ferraioli, A. R.
3
2014
Algebraic geometry for MV-algebras. Zbl 1353.06007
Belluce, Lawrence P.; Di Nola, Antonio; Lenzi, Giacomo
1
2014
MV-semirings and their sheaf representations. Zbl 1263.06004
Belluce, Lawrence Peter; Di Nola, Antonio; Ferraioli, Anna Rita
13
2013
Semiring and semimodule issues in MV-algebras. Zbl 1317.06012
Di Nola, Antonio; Russo, Ciro
12
2013
Hyperfinite MV-algebras. Zbl 1276.06006
Belluce, L. P.; Di Nola, A.; Lenzi, G.
3
2013
Algebraically closed MV-algebras and their sheaf representation. Zbl 1286.06016
Di Nola, A.; Ferraioli, A. R.; Lenzi, G.
2
2013
Adding real coefficients to Łukasiewicz logic: an application to neural networks. Zbl 1423.03077
Di Nola, Antonio; Gerla, Brunella; Leustean, Ioana
2
2013
Stone duality type theorems for MV-algebras with internal state. Zbl 1259.06015
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
2
2012
Łukasiewicz logic and MV-algebras. Zbl 1284.03178
Di Nola, Antonio; Leuştean, Ioana
17
2011
Riesz MV-algebras and their logic. Zbl 1254.06008
Di Nola, Antonio; Leustean, Ioana
4
2011
On varieties of MV-algebras with internal states. Zbl 1213.06006
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
22
2010
Erratum to “State-morphism MV-algebras”. Zbl 1221.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
6
2010
Representation of MV-algebras by regular ultrapowers of \([0,1]\). Zbl 1196.06005
Di Nola, Antonio; Lenzi, Giacomo; Spada, Luca
4
2010
On the Loomis-Sikorski theorem for MV-algebras with internal state. Zbl 1235.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
3
2010
Relative MV-algebras and relative homomorphisms. Zbl 1225.06008
Di Nola, Antonio; Lettieri, Ada
1
2010
State-morphism MV-algebras. Zbl 1186.06007
Di Nola, Antonio; Dvurečenskij, Anatolij
39
2009
On some classes of state-morphism MV-algebras. Zbl 1212.06028
Di Nola, Antonio; Dvurečenskij, Anatolij
15
2009
Commutative rings whose ideals form an MV-algebra. Zbl 1180.06008
Belluce, Lawrence P.; Di Nola, Antonio
13
2009
The category of MV-pairs. Zbl 1173.06003
Di Nola, Antonio; Holcapek, Michal; Jenca, Gejza
1
2009
Perfect GMV-algebras. Zbl 1146.06007
Di Nola, A.; Dvurečenskij, A.; Tsinakis, C.
16
2008
Approximation by pseudo-linear operators. Zbl 1173.41010
Bede, Barnabás; Nobuhara, Hajime; Daňková, Martina; Di Nola, Antonio
14
2008
Abelian \(\ell\)-groups with strong unit and perfect MV-algebras. Zbl 1168.06006
Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella
4
2008
Projective MV-algebras. Zbl 1185.06006
Di Nola, Antonio; Grigolia, Revaz; Lettieri, Ada
2
2008
Forcing in Łukasiewicz predicate logic. Zbl 1170.03013
Di Nola, Antonio; Georgescu, George; Spada, Luca
2
2008
Editing configurations of P systems. Zbl 1136.68025
Csuhaj-Varjú, Erzsébet; Di Nola, Antonio; Păun, Gheorghe; Pérez-Jiménez, Mario J.; Vaszil, György
1
2008
Algebraic analysis of fuzzy systems. Zbl 1110.93012
Di Nola, Antonio; Lettieri, Ada; Perfilieva, Irina; Novák, Vilém
30
2007
Łukasiewicz transform and its application to compression and reconstruction of digital images. Zbl 1114.06009
Di Nola, A.; Russo, C.
22
2007
Local algebras in the representation of MV-algebras. Zbl 1113.06005
Di Nola, A.; Esposito, I.; Gerla, B.
12
2007
Perfect MV-algebras and their logic. Zbl 1123.06006
Belluce, Lawrence P.; Di Nola, Antonio; Gerla, Brunella
12
2007
Simplicial structures in MV-algebras and logic. Zbl 1119.03067
Belluce, L. P.; Di Nola, A.
2
2007
Fuzzy relational neural network. Zbl 1093.68078
Ciaramella, A.; Tagliaferri, R.; Pedrycz, W.; Di Nola, A.
12
2006
Fuzzy relational neural network for data analysis. Zbl 1128.68413
Ciaramella, Angelo; Tagliaferri, Roberto; Pedrycz, Witold; Di Nola, Antonio
2
2006
Algebras of Lukasiewicz’s logic and their semiring reducts. Zbl 1081.06009
Di Nola, A.; Gerla, B.
31
2005
The \(\sigma\)-complete MV-algebras which have enough states. Zbl 1081.06011
Di Nola, Antonio; Navara, Mirko
10
2005
Varieties of BL-algebras. Zbl 1092.03036
Di Nola, A.; Esteva, F.; Godo, L.; Montagna, F.
8
2005
Entropy on effect algebras with Riesz decomposition property. II: MV-algebras. Zbl 1249.03116
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
8
2005
Natural dualities for varieties of BL-algebras. Zbl 1087.06005
Di Nola, Antonio; Niederkorn, Philippe
4
2005
Entropy on effect algebras with the Riesz decomposition property. I: Basic properties. Zbl 1249.03115
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
4
2005
Neural networks and rational McNaughton functions. Zbl 1104.68093
Amato, Paolo; Di Nola, Antonio; Gerla, Brunella
2
2005
On monadic MV-algebras. Zbl 1052.06010
Di Nola, Antonio; Grigolia, Revaz
33
2004
Good and bad infinitesimals, and states on pseudo MV-algebras. Zbl 1081.06010
Di Nola, Antonio; Dvurečenskij, Anatolij; Jakubík, Ján
16
2004
Pro-finite MV-spaces. Zbl 1051.06007
Di Nola, Antonio; Grigolia, Revaz
5
2004
On normal forms in Łukasiewicz logic. Zbl 1061.03026
Di Nola, A.; Lettieri, A.
5
2004
Fuzzy neural networks based on fuzzy logic algebras valued relations. Zbl 1088.68157
Tagliaferri, Roberto; Ciaramella, Angelo; Di Nola, Antonio; Bělohlávek, Radim
2
2004
Partial algebraic conditional spaces. Zbl 1059.03010
Di Nola, Antonio; Scozzafava, Romano
2
2004
Compact representations of BL-algebras. Zbl 1040.03048
Di Nola, Antonio; Leuştean, Laurenţiu
28
2003
MV-modules. Zbl 1025.06009
Di Nola, Antonio; Flondor, Paul; Leuştean, Ioana
15
2003
Finite BL-algebras. Zbl 1025.06008
Di Nola, Antonio; Lettieri, Ada
10
2003
Projective MV-algebras and their automorphism groups. Zbl 1045.06004
Di Nola, Antonio; Grigolia, Revaz
8
2003
The MV-algebra of first order Łukasiewicz logic. Zbl 1064.03015
Belluce, Lawrence P.; Di Nola, Antonio
5
2003
Which truth values in fuzzy logics are definable? Zbl 1036.03020
Nguyen, Hung T.; Kreinovich, Vladik; Di Nola, Antonio
2
2003
Pseudo-BL algebras. I. Zbl 1028.06007
Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita
96
2002
Pseudo-BL algebras. II. Zbl 1028.06008
Di Nola, Antonio; Georgescu, George; Iorgulescu, Afrodita
64
2002
The variety generated by perfect BL-algebras: an algebraic approach in a fuzzy logic setting. Zbl 1004.03023
Di Nola, Antonio; Sessa, Salvatore; Esteva, Francesc; Godo, Lluis; Garcia, Pere
8
2002
MV-algebras in duality with labelled root systems. Zbl 0992.06010
Di Nola, Antonio; Grigolia, Revaz
6
2002
Subvarieties of BL-algebras generated by single-component chains. Zbl 1023.03060
Di Nola, Antonio; Esteva, Francesc; Garcia, Pere; Godo, Lluís; Sessa, Salvatore
5
2002
Grothendieck-like duality for Heyting algebras. Zbl 1061.06021
Di Nola, Antonio; Georgescu, George
2
2002
An evolutionary approach to spatial fuzzy c-means clustering. Zbl 1092.68641
Di Nola, Antonio; Loia, Vincenzo; Staiano, Antonino
1
2002
Product MV-algebras. Zbl 1016.06006
Di Nola, A.; Dvurecenskij, A.
29
2001
Lectures on soft computing and fuzzy logic. Zbl 0970.00009
1
2001
A discrete free MV-algebra over one generator. Zbl 1032.06006
Di Nola, Antonio; Gerla, Brunella
1
2001
Finiteness and duality in MV-algebras theory. Zbl 0992.06009
Di Nola, Antonio; Grigolia, Revaz
1
2001
Boolean products of BL-algebras. Zbl 0966.03055
Di Nola, Antonio; Georgescu, George; Leuştean, Laurenţiu
19
2000
One chain generated varieties of MV-algebras. Zbl 0949.06004
Di Nola, Antonio; Lettieri, Ada
18
2000
States on perfect MV-algebras. Zbl 1016.06007
Di Nola, Antonio; Georgescu, George; Leiştean, Ioana
5
2000
Sequent calculi for finite-valued Łukasiewicz logics via Boolean decompositions. Zbl 0955.03031
Aguzzoli, Stefano; Ciabattoni, Agata; Di Nola, Antonio
1
2000
Equational characterization of all varieties of MV-algebras. Zbl 0946.06009
Di Nola, Antonio; Lettieri, Ada
34
1999
Conditional states in finite-valued logics. Zbl 0942.06004
Di Nola, Antonio; Georgescu, George; Lettieri, Ada
7
1999
Perfect MV-algebras and \(\ell\)-rings. Zbl 1031.06009
Belluce, Lawrence P.; Di Nola, Antonio; Georgescu, George
2
1999
Closed ideals of MV-algebras. Zbl 0937.06010
Di Nola, Antonio; Georgescu, George; Sessa, Salvatore
2
1999
Finitely generated free MV-algebras and their automorphism groups. Zbl 0964.06010
Di Nola, Antonio; Grigolia, Revaz; Panti, Giovanni
15
1998
Coproduct MV-algebras, nonstandard reals, and Riesz spaces. Zbl 0864.06005
Di Nola, A.; Lettieri, A.
13
1996
Yosida type representation for perfect MV-algebras. Zbl 0864.06004
Belluce, Lawrence P.; Di Nola, Antonio
13
1996
Projective limits of \(MV\)-spaces. Zbl 0876.06003
Di Nola, Antonio; Georgescu, George
1
1996
Fuzzy relational structures: The state-of-art. Zbl 0852.04008
Di Nola, Antonio; Pedrycz, Witold; Sessa, Salvatore
7
1995
On MV-algebras of continuous functions. Zbl 0831.06006
Di Nola, A.; Sessa, S.
6
1995
Special issue on fuzzy relations, Part 2. Zbl 0851.00014
2
1995
Perfect MV-algebras are categorically equivalent to Abelian \(l\)-groups. Zbl 0812.06010
Di Nola, Antonio; Lettieri, Ada
58
1994
The prime spectrum of an MV-algebra. Zbl 0815.06010
Belluce, L. P.; Di Nola, Antonio; Sessa, Salvatore
13
1994
Local MV-algebras. Zbl 0817.06011
Belluce, L. P.; Di Nola, A.; Lettieri, A.
31
1993
...and 54 more Documents
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Cited by 677 Authors

95 Di Nola, Antonio
66 Dvurečenskij, Anatolij
29 Pedrycz, Witold
29 Sessa, Salvatore
28 Wang, Xueping
19 Rachůnek, Jiří
18 Lenzi, Giacomo
18 Lettieri, Ada
17 Ciungu, Lavinia Corina
16 Georgescu, George
15 Belluce, Lawrence Peter
15 Montagna, Franco
14 Leuştean, Ioana
13 Borumand Saeid, Arsham
12 Chajda, Ivan
12 Grigolia, Revaz
12 Wu, Yan-Kuen
11 Fang, Shu-Cherng
11 Lapenta, Serafina
11 Šalounová, Dana
11 Zahiri, Omid
10 Borzooei, Rajab Ali
10 Botur, Michal
10 Flaminio, Tommaso
10 Medina, Jesús
10 Shu, Qianyu
9 Abbasi Molai, Ali
9 Khorram, Esmaile
9 Rasouli, Saeed
9 Russo, Ciro
9 Šešelja, Branimir
9 Tepavčević, Andreja
8 Bede, Barnabás
8 Paseka, Jan
8 Turunen, Esko
8 Vitale, Gaetano
8 Xin, Xiaolong
8 Yang, Xiaopeng
8 Zhan, Jianming
7 Bianchi, Matteo
7 Forouzesh, Fereshteh
7 Gavalec, Martin
7 Kühr, Jan
7 Lur, Yung-Yih
7 Nganou, Jean Bernard
7 Plavka, Ján
7 Pulmannová, Sylvia
6 Agliano, Paolo
6 Cao, Bingyuan
6 Cimadamore, Cecilia Rossana
6 De Baets, Bernard
6 Díaz Varela, José Patricio
6 Esteva, Francesc
6 Gerla, Brunella
6 Ghodousian, Amin
6 Kołodziejczyk, Waldemar
6 Kowalski, Tomasz
6 Lachman, Dominik
6 Länger, Helmut M.
6 Li, Pingke
6 Mundici, Daniele
6 Noguera, Carles
6 Perfilieva, Irina G.
6 Qu, Xiaobing
6 Spada, Luca
6 Xiong, Qingquan
5 Aguzzoli, Stefano
5 Bělohlávek, Radim
5 Busaniche, Manuela
5 Castiglioni, José Luis
5 Cignoli, Roberto
5 Cintula, Petr
5 Di Martino, Ferdinando
5 Freytes, Hector
5 Godo, Lluís
5 He, Pengfei
5 Jipsen, Peter
5 Leuştean, Laurenţiu
5 Miyakoshi, Masaaki
5 Mureşan, Claudia
5 Shieh, Bih-Sheue
5 Solovyov, Sergey A.
5 Štěpnička, Martin
5 Sun, Feng
5 Xu, Yang
5 Zhou, Hongjun
5 Zhou, Xuegang
4 Aliannezhadi, Samaneh
4 Bartl, Eduard
4 Cechlárová, Katarína
4 Chen, Wenjuan
4 Cornejo, Maria Eugenia
4 Coroianu, Lucian C.
4 Díaz-Moreno, Juan Carlos
4 Dudek, Wiesław Aleksander
4 Eslami, Esfandiar
4 Flondor, Paul
4 Gal, Sorin Gheorghe
4 Gerla, Giangiacomo
4 Gispert, Joan
...and 577 more Authors
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Cited in 117 Serials

226 Fuzzy Sets and Systems
114 Soft Computing
64 Information Sciences
33 Mathematica Slovaca
23 Algebra Universalis
23 International Journal of Approximate Reasoning
22 Studia Logica
17 Archive for Mathematical Logic
15 Linear Algebra and its Applications
13 Annals of Pure and Applied Logic
12 International Journal of Theoretical Physics
12 Journal of Mathematical Analysis and Applications
12 Journal of Algebra
11 International Journal of General Systems
10 Journal of Pure and Applied Algebra
10 Kybernetika
10 Fuzzy Optimization and Decision Making
10 Afrika Matematika
9 Order
9 Mathematical Logic Quarterly (MLQ)
8 Computers & Mathematics with Applications
7 Kybernetes
7 Journal of Applied Non-Classical Logics
6 Communications in Algebra
6 Reports on Mathematical Physics
6 Applied Mathematics and Computation
6 Journal of Intelligent and Fuzzy Systems
5 Czechoslovak Mathematical Journal
5 Journal of the Australian Mathematical Society
5 Journal of Algebra and its Applications
5 Journal of Applied Logic
4 Linear and Multilinear Algebra
4 Applied Categorical Structures
4 Journal of Multiple-Valued Logic and Soft Computing
3 Discrete Mathematics
3 Journal of Computational and Applied Mathematics
3 The Journal of Symbolic Logic
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Forum Mathematicum
3 European Journal of Operational Research
3 Central European Journal of Mathematics
3 Foundations of Physics
3 Iranian Journal of Fuzzy Systems
3 Journal of Algebraic Systems
2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
2 Demonstratio Mathematica
2 International Journal of Mathematics and Mathematical Sciences
2 Theoretical Computer Science
2 International Journal of Intelligent Systems
2 Mathematical and Computer Modelling
2 Filomat
2 Complexity
2 Abstract and Applied Analysis
2 International Journal of Applied Mathematics and Computer Science
2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
2 Journal of Systems Science and Complexity
2 New Mathematics and Natural Computation
2 Asian-European Journal of Mathematics
2 Open Mathematics
2 Algebraic Structures and their Applications
2 Transactions of A. Razmadze Mathematical Institute
1 Artificial Intelligence
1 Discrete Applied Mathematics
1 Acta Scientiarum Mathematicarum
1 Advances in Mathematics
1 Commentationes Mathematicae Universitatis Carolinae
1 Journal of Soviet Mathematics
1 Le Matematiche
1 Mathematics and Computers in Simulation
1 Numerical Functional Analysis and Optimization
1 Opsearch
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Results in Mathematics
1 Ricerche di Matematica
1 Semigroup Forum
1 Transactions of the American Mathematical Society
1 Bulletin of the Section of Logic
1 Advances in Applied Mathematics
1 Cybernetics and Systems
1 Journal of Classification
1 Revista Matemática Iberoamericana
1 Asia-Pacific Journal of Operational Research
1 Applied Mathematics Letters
1 Journal of the Ramanujan Mathematical Society
1 Communications in Statistics. Theory and Methods
1 Computational Statistics and Data Analysis
1 Cybernetics and Systems Analysis
1 Journal of Computer and Systems Sciences International
1 Applied Mathematics. Series B (English Edition)
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Computational and Applied Mathematics
1 The Bulletin of Symbolic Logic
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Mathematical Communications
1 Discrete Dynamics in Nature and Society
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Communications of the Korean Mathematical Society
1 Lobachevskii Journal of Mathematics
1 Logic and Logical Philosophy
1 Iranian Journal of Science and Technology. Transaction A: Science
...and 17 more Serials
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Cited in 44 Fields

512 Mathematical logic and foundations (03-XX)
453 Order, lattices, ordered algebraic structures (06-XX)
86 Computer science (68-XX)
62 Linear and multilinear algebra; matrix theory (15-XX)
51 Operations research, mathematical programming (90-XX)
50 General algebraic systems (08-XX)
39 Associative rings and algebras (16-XX)
37 Information and communication theory, circuits (94-XX)
29 Measure and integration (28-XX)
28 Systems theory; control (93-XX)
27 General topology (54-XX)
26 Quantum theory (81-XX)
21 Category theory; homological algebra (18-XX)
19 Numerical analysis (65-XX)
16 Approximations and expansions (41-XX)
12 Group theory and generalizations (20-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Probability theory and stochastic processes (60-XX)
10 Real functions (26-XX)
10 Functional analysis (46-XX)
9 Commutative algebra (13-XX)
9 Statistics (62-XX)
8 Convex and discrete geometry (52-XX)
6 Combinatorics (05-XX)
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5 Algebraic geometry (14-XX)
4 History and biography (01-XX)
3 Operator theory (47-XX)
3 Biology and other natural sciences (92-XX)
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2 Difference and functional equations (39-XX)
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1 Calculus of variations and optimal control; optimization (49-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)

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