## Alsina, Claudi

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 Author ID: alsina.claudi Published as: Alsina, Claudi; Alsina, C.; Alsina, Cl.; Alsina Catalá, Claudi; Alsina Català, Claudi; Alsina, Claudio more...less External Links: MGP · Wikidata · Twitter · GND · IdRef
 Documents Indexed: 160 Publications since 1977, including 11 Books 2 Contributions as Editor Reviewing Activity: 286 Reviews Co-Authors: 40 Co-Authors with 114 Joint Publications 787 Co-Co-Authors
all top 5

### Co-Authors

 42 single-authored 37 Trillas, Enric 21 Nelsen, Roger B. 14 Garcia-Roig, Jaime-Luis 11 Tomás, Maria S. 9 Schweizer, Berthold 6 Guijarro, Piedad 5 Renedo, Eloy 4 Aczél, János Dezső 4 Ger, Roman 4 Sklar, Abe 3 Pradera, Ana 3 Santos Tomás, Maria 3 Sikorska, Justyna 3 Tomás, M. Santos 2 Cruells, P. 2 Frank, Maurice J. 2 Jacas, Joan 2 Llibre, Jaume 2 Targonski, György I. 1 Aguilar-Martin, Joseph 1 Benz, Walter 1 Castiñeira, Elena E. 1 Damas, Antonio 1 de Soto, Adolfo R. 1 García-Honrado, Itziar 1 Gómez Serrano, Josep 1 Martul, R. 1 Mira, Christian 1 Moraga, Claudio R. 1 Quesada, José Juan 1 Rubio-Martinez, Jaime 1 Sablik, Maciej 1 Sempi, Carlo 1 Simó, Carles 1 Sobrino, Alejandro 1 Termini, Settimo 1 Terricabras, Josep-Maria 1 Thibault, Roger 1 Thomás, Maria S. 1 Valverde, Llorenc
all top 5

### Serials

 17 Aequationes Mathematicae 12 Fuzzy Sets and Systems 8 Mathematics Magazine 6 Stochastica 5 Mathware & Soft Computing 4 Archiv der Mathematik 4 Archivum Mathematicum 4 Publicationes Mathematicae Debrecen 4 International Journal of Intelligent Systems 4 International Journal of Approximate Reasoning 4 The Dolciani Mathematical Expositions 2 International Journal of General Systems 2 Journal of Mathematical Analysis and Applications 2 International Journal of Mathematics and Mathematical Sciences 2 Utilitas Mathematica 2 Note di Matematica 2 Serdica 2 Journal of Institute of Mathematics and Computer Sciences. Mathematics Series 2 La Gaceta de la Real Sociedad Matemática Española 2 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2 Forum Geometricorum 1 Houston Journal of Mathematics 1 Information Processing Letters 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales Polonici Mathematici 1 Journal of Geometry 1 Mathematicae Notae 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Statistics & Probability Letters 1 Mathematical Modelling 1 Radovi Matematički 1 Glasnik Matematički. Serija III 1 Opuscula Mathematica 1 Soft Computing 1 Journal of Inequalities and Applications 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Rocznik Naukowo-Dydaktyczny. Prace Matematyczne 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Fuzzy Optimization and Decision Making 1 New Mathematics and Natural Computation 1 Methods of Operations Research 1 The College Mathematics Journal 1 European Journal of Pure and Applied Mathematics 1 Classroom Resource Materials 1 AMS/MAA Dolciani Mathematical Expositions
all top 5

### Fields

 69 Difference and functional equations (39-XX) 35 Mathematical logic and foundations (03-XX) 27 Probability theory and stochastic processes (60-XX) 23 Functional analysis (46-XX) 16 Geometry (51-XX) 16 General topology (54-XX) 15 Mathematics education (97-XX) 12 General and overarching topics; collections (00-XX) 12 Real functions (26-XX) 11 Computer science (68-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 7 History and biography (01-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Convex and discrete geometry (52-XX) 4 Topological groups, Lie groups (22-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

95 Publications have been cited 1,103 times in 884 Documents Cited by Year
Associative functions. Triangular norms and copulas. Zbl 1100.39023
Alsina, Claudi; Frank, Maurice J.; Schweizer, Berthold
2006
On some inequalities and stability results related to the exponential function. Zbl 0918.39009
Alsina, Claudi; Ger, Roman
1998
On some logical connectives for fuzzy sets theory. Zbl 0522.03012
Alsina, C.; Trillas, E.; Valverde, L.
1983
On the characterization of a class of binary operations on distribution functions. Zbl 0798.60023
Alsina, Claudi; Nelsen, Roger B.; Schweizer, Berthold
1993
On the definition of a probabilistic normed space. Zbl 0792.46062
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
1993
Continuity properties of probabilistic norms. Zbl 0903.46075
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
1997
Norm derivatives and characterizations of inner product spaces. Zbl 1196.46001
Alsina, Claudi; Sikorska, Justyna; Tomás, M. Santos
2010
Problems on associative functions. Zbl 1077.39021
Alsina, C.; Frank, M. J.; Schweizer, B.
2003
On a family of connectives for fuzzy sets. Zbl 0603.39005
Alsina, Claudi
1985
On contra-symmetry and MPT conditionality in fuzzy logic. Zbl 1088.03025
Trillas, E.; Alsina, C.; Renedo, E.; Pradera, A.
2005
When $$(S,N)$$-implications are $$(T,T _{1})$$-conditional functions? Zbl 1014.03026
Alsina, Claudi; Trillas, Enric
2003
Introduction to generalized metric spaces. (Introduccion a los espacios metricos generalizados). Zbl 0464.54029
Trillas, Enrique; Alsina, Claudi
1978
On a conditional Cauchy equation on rhombuses. Zbl 0877.39015
Alsina, Claudi; García-Roig, Jaime L.
1994
Charming proofs. A journey into elegant mathematics. Zbl 1200.00021
Alsina, Claudi; Nelsen, Roger B.
2010
Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. Zbl 0527.39002
Aczél, János; Alsina, C.
1984
Searching for the roots of non-contradiction and excluded-middle. Zbl 1019.03049
Trillas, Enric; Alsina, Claudi; Pradera, A.
2002
On MPT-implication functions for fuzzy logic. Zbl 1070.03014
Trillas, Enric; Alsina, Claudi; Pradera, Ana
2004
Synthesizing judgements: a functional equations approach. Zbl 0624.90002
Aczél, János; Alsina, Claudi
1987
On the definition of a probabilistic inner product space. Zbl 0945.46012
Alsina, Claudi; Schweizer, B.; Sempi, C.; Sklar, Abe
1997
On a family of connectives for fuzzy sets. Zbl 0577.39010
Alsina, Claudi
1985
On almost distributive Łukasiewicz triplets. Zbl 0782.04006
Alsina, Claudi; Trillas, Enric
1992
Logic: Going farther from Tarski? Zbl 0792.03012
Trillas, Enric; Alsina, Claudi
1993
On logical connectives for a fuzzy set theory with or without nonempty self-contradictions. Zbl 0966.03051
Trillas, Enric; Alsina, Claudi; Jacas, Joan
2000
Elkan’s theoretical argument, reconsidered. Zbl 0979.03022
Trillas, Enric; Alsina, Claudi
2001
Some remarks on approximate entailment. Zbl 0761.68085
Trillas, Enric; Alsina, Claudi
1992
A visual proof of the Erdős-Mordell inequality. Zbl 1123.51024
Alsina, Claudi; Nelsen, Roger B.
2007
Subdistributive De Morgan triplets. Zbl 0826.04003
Alsina, Claudi; Mayor, G.; Tomás, Maria S.; Torrens, J.
1993
A reflection on what is a membership function. Zbl 0968.28013
Trillas, Enric; Alsina, Claudi
1999
On the symmetric difference of fuzzy sets. Zbl 1089.03018
Alsina, Claudi; Trillas, Enric
2005
On the stability of a functional equation arising in probabilistic normed spaces. Zbl 0633.60029
Alsina, Claudi
1987
Some remarkable lines of triangles in real normed spaces and characterizations of inner product structures. Zbl 0906.39012
Alsina, Claudi; Guijarro, Piedad; Tomás, Maria S.
1997
A characterization of a class of aggregation functions. Zbl 0788.04004
Alsina, Claudi; Mayor, G.; Tomás, Maria S.; Torrens, J.
1993
A characterization of continuous associative operations whose graphs are ruled surfaces. Zbl 0625.39008
Alsina, Claudi; Sklar, Abe
1987
Sur les mesures du degré de flou. Zbl 0425.94030
Trillas, Enric; Alsina, Claudi
1979
On parallelogram areas in normed linear spaces. Zbl 1112.39018
Alsina, Claudi; Tomás, Maria Santos
2006
When less is more. Visualizing basic inequalities. Zbl 1163.00008
Alsina, Claudi; Nelsen, Roger B.
2009
A geometrical proof of a new inequality for the gamma function. Zbl 1082.33001
Alsina, C.; Tomás, M. S.
2005
On a method of Pi-Calleja for describing additive generators of associative functions. Zbl 0765.39005
Alsina, Claudi
1992
On a functional equation characterizing inner product spaces. Zbl 0752.39006
Alsina, Claudi; García Roig, Jaime L.
1991
Synthesizing implications. Zbl 0794.68153
Alsina, Claudi; Trillas, Enric
1992
On some orthogonality relations in real normed spaces and characterizations of inner products. Zbl 1183.46023
Alsina, C.; Tomás, M. S.
2007
The countable product of probabilistic metric spaces. Zbl 0524.54005
Alsina, C.; Schweizer, B.
1983
A characterization of convolution and related operations. Zbl 0566.39013
Alsina, Claudi
1985
On associative copulas uniformly close. Zbl 0655.39006
Alsina, Claudi; Ger, Roman
1988
On continuous preservation of norms and areas. Zbl 0686.39011
Alsina, Claudi; García Roig, Jaime L.
1989
On countable products and algebraic convexifications of probabilistic metric spaces. Zbl 0412.54007
Alsina, Claudi
1978
Some functional equations in the space of uniform distribution functions. Zbl 0492.39007
Alsina, Claudi
1981
A characterization of inner product spaces based on orthogonal relations related to height’s theorem. Zbl 0845.46011
Alsina, Claudi; Guijarro, Piedad; Tomás, Maria S.
1995
Icons of mathematics. An exploration of twenty key images. Zbl 1230.00001
Alsina, Claudi; Nelsen, Roger B.
2011
On the functional equation $$S_1(x,y) = S_2(x,T (N(x),y))$$. Zbl 0996.39021
Alsina, Claudi; Trillas, Enric
2002
Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference. Zbl 0909.46020
Alsina, Claudi; Guijarro, Piedad; Tomás, Maria S.
1996
On the equation of the $$\rho$$-orthogonal additivity. Zbl 1178.39037
Alsina, Claudi; Sikorska, Justyna; Santos Tomás, Maria
2007
Characterizations of inner product spaces through an isosceles trapezoid property. Zbl 1050.46507
Alsina, C.; Cruells, P.; Tomás, M. S.
1999
On the law $$(a \cdot b^\prime)^\prime= b+a^\prime\cdot b^\prime$$ in De Morgan algebras and orthomodular lattices. Zbl 1075.06006
Renedo, E.; Trillas, E.; Alsina, C.
2003
Isosceles trapezoids, norms and inner products. Zbl 0928.46010
Alsina, Claudi; Cruells, P.; Tomàs, Maria S.
1999
Some functionals for copulas. Zbl 0732.62047
Alsina, Claudi; Damas, A.; Quesada, J. J.
1991
On some inequalities characterizing the exponential function. Zbl 0735.39006
Alsina, Claudi; García Roig, Jaime L.
1990
Geometric proofs of the Weitzenböck and Hadwiger-Finsler inequalities. Zbl 1223.51019
Alsina, Claudi; Nelsen, Roger B.
2008
Associative operations close to a given one. Zbl 0575.39006
Alsina, C.; Ger, R.
1985
Synthesizing judgements given by probability distribution functions. Zbl 0635.90003
Alsina, Claudi
1987
On natural metrics. Zbl 0423.54021
Alsina, C.; Trillas, E.
1977
On a theorem of Mouchtari and Serstnev. Zbl 0488.60018
Alsina, C.; Schweizer, B.
1981
On quasi-copulas and metrics. Zbl 1137.62335
Alsina, C.
2002
Pseudometrics from three-positive semidefinite similarities. Zbl 1103.68788
Tomás, M. Santos; Alsina, Claudi; Rubio-Martinez, Jaime
2006
How to keep the quadrilateral inscribed. Zbl 0851.39009
Alsina, Claudi; García-Roig, Jaime L.; Ger, Roman
1995
Proof without words: inequalities for two numbers whose sum is one. Zbl 1227.97031
Alsina, Claudi; Nelsen, Roger B.
2011
An invitation to proofs without words. Zbl 1209.00020
Alsina, Claudio; Nelsen, Roger B.
2010
On some schemes of reasoning in fuzzy logic. Zbl 1252.03065
Trillas, Enric; Alsina, Claudi; Renedo, Eloy
2011
Standard theories of fuzzy sets with the law $$(\mu\wedge\sigma')'=\sigma\vee(\mu'\wedge\sigma')$$. Zbl 1055.03032
Trillas, E.; Alsina, C.
2004
A note on the symmetric difference in lattices. Zbl 1083.06012
Renedo, E.; Trillas, E.; Alsina, C.
2005
On the stability of a functional equation related to associativity. Zbl 0724.39009
Alsina, Claudi
1991
Math made visual. Creating images for understanding mathematics. Zbl 1132.00001
Alsina, Claudi; Nelsen, Roger B.
2006
A characterization of inner product spaces based on a property of height’s transformation. Zbl 0819.39011
Alsina, Claudi; Guijarro, Piedad; Tomás, Maria S.
1993
On heights in real normed spaces and characterizations of inner product structures. Zbl 0816.46017
Alsina, Claudi; Guijarro, Piedad; Tomás, Maria S.
1993
A characterization of the room index by means of functional equations. Zbl 0728.39006
Alsina, Claudi
1991
A cornucopia of quadrilaterals. Zbl 1443.51001
Alsina, Claudi; Nelsen, Roger B.
2020
On the functional equation $$|{} T(x)\cdot T(y) |{} = |{} x \cdot y |$$. Zbl 0739.39008
Alsina, Claudi; García Roig, Jaime L.
1991
On Schur-concave t-norms and triangle functions. Zbl 0587.39005
Alsina, Claudi
1984
On the difference of fuzzy sets. Zbl 1135.03021
Alsina, Claudi; Trillas, Enric
2008
On convex triangle functions. Zbl 0564.39006
Alsina, Claudi
1983
On L-orders in strict t-norms. Zbl 0589.46017
Alsina, C.; Gimenez, J.
1984
A primer of t-norms. Zbl 0596.54024
Alsina, Claudi
1984
The associative solutions of the functional equation $$\zeta (F,G)+{\hat \zeta}(F,G)=F+G$$. Zbl 0605.39006
Alsina, Claudi
1986
Smooth convex t-norms do not exist. Zbl 0639.39013
Alsina, Claudi; Thomás, Maria S.
1988
Proportion functions in three dimensions. Zbl 0674.39009
Alsina, Claudi; Benz, Walter
1989
Additive homogeneity of logical connectives for membership functions. Zbl 0682.03012
Alsina, Claudi; Trillas, Enric
1987
On sums of dependent uniformly distributed random variables. Zbl 0418.39007
Alsina, C.; Bonet, E.
1979
On two functional equations related to a result of Grégoire de Saint-Vincent. Zbl 0836.39005
Alsina, Claudi; García-Roig, Jaime L.
1995
Gaudí, geometrically. (Gaudí, geometricamente.) Zbl 1213.01051
Alsina Català, Claudi; Gómez Serrano, Josep
2002
Fuzzy sets from a mathematical-naïve point of view. Zbl 1004.03045
Trillas, Enric; Alsina, Claudi
2002
Orthocenters in real normed spaces and the Euler line. Zbl 1061.46016
Alsina, Claudi; Tomás, Maria Santos
2004
On complementary logical connectives and relative complements. Zbl 1169.03343
Alsina, Claudi; Trillas, Enric
2005
Short note: On a conditional-conjunctive law with fuzzy sets. Zbl 1343.68239
García-Honrado, Itziar; Trillas, Enric; Alsina, Claudi
2013
On building indices. Zbl 0810.39005
Aczél, János; Alsina, Claudi
1994
A mathematical space odyssey. Solid geometry in the 21st century. Zbl 1332.51001
Alsina, Claudi; Nelsen, Roger B.
2015
A cornucopia of quadrilaterals. Zbl 1443.51001
Alsina, Claudi; Nelsen, Roger B.
2020
A mathematical space odyssey. Solid geometry in the 21st century. Zbl 1332.51001
Alsina, Claudi; Nelsen, Roger B.
2015
Short note: On a conditional-conjunctive law with fuzzy sets. Zbl 1343.68239
García-Honrado, Itziar; Trillas, Enric; Alsina, Claudi
2013
Icons of mathematics. An exploration of twenty key images. Zbl 1230.00001
Alsina, Claudi; Nelsen, Roger B.
2011
Proof without words: inequalities for two numbers whose sum is one. Zbl 1227.97031
Alsina, Claudi; Nelsen, Roger B.
2011
On some schemes of reasoning in fuzzy logic. Zbl 1252.03065
Trillas, Enric; Alsina, Claudi; Renedo, Eloy
2011
Norm derivatives and characterizations of inner product spaces. Zbl 1196.46001
Alsina, Claudi; Sikorska, Justyna; Tomás, M. Santos
2010
Charming proofs. A journey into elegant mathematics. Zbl 1200.00021
Alsina, Claudi; Nelsen, Roger B.
2010
An invitation to proofs without words. Zbl 1209.00020
Alsina, Claudio; Nelsen, Roger B.
2010
When less is more. Visualizing basic inequalities. Zbl 1163.00008
Alsina, Claudi; Nelsen, Roger B.
2009
Geometric proofs of the Weitzenböck and Hadwiger-Finsler inequalities. Zbl 1223.51019
Alsina, Claudi; Nelsen, Roger B.
2008
On the difference of fuzzy sets. Zbl 1135.03021
Alsina, Claudi; Trillas, Enric
2008
A visual proof of the Erdős-Mordell inequality. Zbl 1123.51024
Alsina, Claudi; Nelsen, Roger B.
2007
On some orthogonality relations in real normed spaces and characterizations of inner products. Zbl 1183.46023
Alsina, C.; Tomás, M. S.
2007
On the equation of the $$\rho$$-orthogonal additivity. Zbl 1178.39037
Alsina, Claudi; Sikorska, Justyna; Santos Tomás, Maria
2007
Associative functions. Triangular norms and copulas. Zbl 1100.39023
Alsina, Claudi; Frank, Maurice J.; Schweizer, Berthold
2006
On parallelogram areas in normed linear spaces. Zbl 1112.39018
Alsina, Claudi; Tomás, Maria Santos
2006
Pseudometrics from three-positive semidefinite similarities. Zbl 1103.68788
Tomás, M. Santos; Alsina, Claudi; Rubio-Martinez, Jaime
2006
Math made visual. Creating images for understanding mathematics. Zbl 1132.00001
Alsina, Claudi; Nelsen, Roger B.
2006
On contra-symmetry and MPT conditionality in fuzzy logic. Zbl 1088.03025
Trillas, E.; Alsina, C.; Renedo, E.; Pradera, A.
2005
On the symmetric difference of fuzzy sets. Zbl 1089.03018
Alsina, Claudi; Trillas, Enric
2005
A geometrical proof of a new inequality for the gamma function. Zbl 1082.33001
Alsina, C.; Tomás, M. S.
2005
A note on the symmetric difference in lattices. Zbl 1083.06012
Renedo, E.; Trillas, E.; Alsina, C.
2005
On complementary logical connectives and relative complements. Zbl 1169.03343
Alsina, Claudi; Trillas, Enric
2005
On MPT-implication functions for fuzzy logic. Zbl 1070.03014
Trillas, Enric; Alsina, Claudi; Pradera, Ana
2004
Standard theories of fuzzy sets with the law $$(\mu\wedge\sigma')'=\sigma\vee(\mu'\wedge\sigma')$$. Zbl 1055.03032
Trillas, E.; Alsina, C.
2004
Orthocenters in real normed spaces and the Euler line. Zbl 1061.46016
Alsina, Claudi; Tomás, Maria Santos
2004
Problems on associative functions. Zbl 1077.39021
Alsina, C.; Frank, M. J.; Schweizer, B.
2003
When $$(S,N)$$-implications are $$(T,T _{1})$$-conditional functions? Zbl 1014.03026
Alsina, Claudi; Trillas, Enric
2003
On the law $$(a \cdot b^\prime)^\prime= b+a^\prime\cdot b^\prime$$ in De Morgan algebras and orthomodular lattices. Zbl 1075.06006
Renedo, E.; Trillas, E.; Alsina, C.
2003
Searching for the roots of non-contradiction and excluded-middle. Zbl 1019.03049
Trillas, Enric; Alsina, Claudi; Pradera, A.
2002
On the functional equation $$S_1(x,y) = S_2(x,T (N(x),y))$$. Zbl 0996.39021
Alsina, Claudi; Trillas, Enric
2002
On quasi-copulas and metrics. Zbl 1137.62335
Alsina, C.
2002
Gaudí, geometrically. (Gaudí, geometricamente.) Zbl 1213.01051
Alsina Català, Claudi; Gómez Serrano, Josep
2002
Fuzzy sets from a mathematical-naïve point of view. Zbl 1004.03045
Trillas, Enric; Alsina, Claudi
2002
Elkan’s theoretical argument, reconsidered. Zbl 0979.03022
Trillas, Enric; Alsina, Claudi
2001
On logical connectives for a fuzzy set theory with or without nonempty self-contradictions. Zbl 0966.03051
Trillas, Enric; Alsina, Claudi; Jacas, Joan
2000
A reflection on what is a membership function. Zbl 0968.28013
Trillas, Enric; Alsina, Claudi
1999
Characterizations of inner product spaces through an isosceles trapezoid property. Zbl 1050.46507
Alsina, C.; Cruells, P.; Tomás, M. S.
1999
Isosceles trapezoids, norms and inner products. Zbl 0928.46010
Alsina, Claudi; Cruells, P.; Tomàs, Maria S.
1999
On some inequalities and stability results related to the exponential function. Zbl 0918.39009
Alsina, Claudi; Ger, Roman
1998
Continuity properties of probabilistic norms. Zbl 0903.46075
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
1997
On the definition of a probabilistic inner product space. Zbl 0945.46012
Alsina, Claudi; Schweizer, B.; Sempi, C.; Sklar, Abe
1997
Some remarkable lines of triangles in real normed spaces and characterizations of inner product structures. Zbl 0906.39012
Alsina, Claudi; Guijarro, Piedad; Tomás, Maria S.
1997
Characterizations of inner product structures involving the radius of the inscribed or circumscribed circumference. Zbl 0909.46020
Alsina, Claudi; Guijarro, Piedad; Tomás, Maria S.
1996
A characterization of inner product spaces based on orthogonal relations related to height’s theorem. Zbl 0845.46011
Alsina, Claudi; Guijarro, Piedad; Tomás, Maria S.
1995
How to keep the quadrilateral inscribed. Zbl 0851.39009
Alsina, Claudi; García-Roig, Jaime L.; Ger, Roman
1995
On two functional equations related to a result of Grégoire de Saint-Vincent. Zbl 0836.39005
Alsina, Claudi; García-Roig, Jaime L.
1995
On a conditional Cauchy equation on rhombuses. Zbl 0877.39015
Alsina, Claudi; García-Roig, Jaime L.
1994
On building indices. Zbl 0810.39005
Aczél, János; Alsina, Claudi
1994
On the characterization of a class of binary operations on distribution functions. Zbl 0798.60023
Alsina, Claudi; Nelsen, Roger B.; Schweizer, Berthold
1993
On the definition of a probabilistic normed space. Zbl 0792.46062
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
1993
Logic: Going farther from Tarski? Zbl 0792.03012
Trillas, Enric; Alsina, Claudi
1993
Subdistributive De Morgan triplets. Zbl 0826.04003
Alsina, Claudi; Mayor, G.; Tomás, Maria S.; Torrens, J.
1993
A characterization of a class of aggregation functions. Zbl 0788.04004
Alsina, Claudi; Mayor, G.; Tomás, Maria S.; Torrens, J.
1993
A characterization of inner product spaces based on a property of height’s transformation. Zbl 0819.39011
Alsina, Claudi; Guijarro, Piedad; Tomás, Maria S.
1993
On heights in real normed spaces and characterizations of inner product structures. Zbl 0816.46017
Alsina, Claudi; Guijarro, Piedad; Tomás, Maria S.
1993
On almost distributive Łukasiewicz triplets. Zbl 0782.04006
Alsina, Claudi; Trillas, Enric
1992
Some remarks on approximate entailment. Zbl 0761.68085
Trillas, Enric; Alsina, Claudi
1992
On a method of Pi-Calleja for describing additive generators of associative functions. Zbl 0765.39005
Alsina, Claudi
1992
Synthesizing implications. Zbl 0794.68153
Alsina, Claudi; Trillas, Enric
1992
On a functional equation characterizing inner product spaces. Zbl 0752.39006
Alsina, Claudi; García Roig, Jaime L.
1991
Some functionals for copulas. Zbl 0732.62047
Alsina, Claudi; Damas, A.; Quesada, J. J.
1991
On the stability of a functional equation related to associativity. Zbl 0724.39009
Alsina, Claudi
1991
A characterization of the room index by means of functional equations. Zbl 0728.39006
Alsina, Claudi
1991
On the functional equation $$|{} T(x)\cdot T(y) |{} = |{} x \cdot y |$$. Zbl 0739.39008
Alsina, Claudi; García Roig, Jaime L.
1991
On some inequalities characterizing the exponential function. Zbl 0735.39006
Alsina, Claudi; García Roig, Jaime L.
1990
On continuous preservation of norms and areas. Zbl 0686.39011
Alsina, Claudi; García Roig, Jaime L.
1989
Proportion functions in three dimensions. Zbl 0674.39009
Alsina, Claudi; Benz, Walter
1989
On associative copulas uniformly close. Zbl 0655.39006
Alsina, Claudi; Ger, Roman
1988
Smooth convex t-norms do not exist. Zbl 0639.39013
Alsina, Claudi; Thomás, Maria S.
1988
Synthesizing judgements: a functional equations approach. Zbl 0624.90002
Aczél, János; Alsina, Claudi
1987
On the stability of a functional equation arising in probabilistic normed spaces. Zbl 0633.60029
Alsina, Claudi
1987
A characterization of continuous associative operations whose graphs are ruled surfaces. Zbl 0625.39008
Alsina, Claudi; Sklar, Abe
1987
Synthesizing judgements given by probability distribution functions. Zbl 0635.90003
Alsina, Claudi
1987
Additive homogeneity of logical connectives for membership functions. Zbl 0682.03012
Alsina, Claudi; Trillas, Enric
1987
The associative solutions of the functional equation $$\zeta (F,G)+{\hat \zeta}(F,G)=F+G$$. Zbl 0605.39006
Alsina, Claudi
1986
On a family of connectives for fuzzy sets. Zbl 0603.39005
Alsina, Claudi
1985
On a family of connectives for fuzzy sets. Zbl 0577.39010
Alsina, Claudi
1985
A characterization of convolution and related operations. Zbl 0566.39013
Alsina, Claudi
1985
Associative operations close to a given one. Zbl 0575.39006
Alsina, C.; Ger, R.
1985
Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. Zbl 0527.39002
Aczél, János; Alsina, C.
1984
On Schur-concave t-norms and triangle functions. Zbl 0587.39005
Alsina, Claudi
1984
On L-orders in strict t-norms. Zbl 0589.46017
Alsina, C.; Gimenez, J.
1984
A primer of t-norms. Zbl 0596.54024
Alsina, Claudi
1984
On some logical connectives for fuzzy sets theory. Zbl 0522.03012
Alsina, C.; Trillas, E.; Valverde, L.
1983
The countable product of probabilistic metric spaces. Zbl 0524.54005
Alsina, C.; Schweizer, B.
1983
On convex triangle functions. Zbl 0564.39006
Alsina, Claudi
1983
Some functional equations in the space of uniform distribution functions. Zbl 0492.39007
Alsina, Claudi
1981
On a theorem of Mouchtari and Serstnev. Zbl 0488.60018
Alsina, C.; Schweizer, B.
1981
Sur les mesures du degré de flou. Zbl 0425.94030
Trillas, Enric; Alsina, Claudi
1979
On sums of dependent uniformly distributed random variables. Zbl 0418.39007
Alsina, C.; Bonet, E.
1979
Introduction to generalized metric spaces. (Introduccion a los espacios metricos generalizados). Zbl 0464.54029
Trillas, Enrique; Alsina, Claudi
1978
On countable products and algebraic convexifications of probabilistic metric spaces. Zbl 0412.54007
Alsina, Claudi
1978
On natural metrics. Zbl 0423.54021
Alsina, C.; Trillas, E.
1977
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all top 5

### Cited in 176 Serials

 230 Fuzzy Sets and Systems 55 Information Sciences 40 Journal of Mathematical Analysis and Applications 35 International Journal of Approximate Reasoning 34 Aequationes Mathematicae 26 Kybernetika 17 Applied Mathematics Letters 16 Abstract and Applied Analysis 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Journal of Inequalities and Applications 13 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 13 Advances in Difference Equations 10 Applied Mathematics and Computation 10 Journal of Function Spaces 9 International Journal of General Systems 9 Chaos, Solitons and Fractals 9 Results in Mathematics 9 Dependence Modeling 8 Fuzzy Optimization and Decision Making 7 Soft Computing 6 Mathematics Magazine 6 Archiv der Mathematik 6 Iranian Journal of Fuzzy Systems 5 Journal of Geometry 5 Journal of Multivariate Analysis 5 International Journal of Intelligent Systems 5 European Journal of Operational Research 5 Linear Algebra and its Applications 5 Qualitative Theory of Dynamical Systems 5 Mediterranean Journal of Mathematics 4 Insurance Mathematics & Economics 4 Statistics & Probability Letters 4 Journal of Intelligent and Fuzzy Systems 4 Proyecciones 4 AIMS Mathematics 3 American Mathematical Monthly 3 Acta Mathematica Vietnamica 3 International Journal of Mathematics and Mathematical Sciences 3 Theoretical Computer Science 3 Mathematical Social Sciences 3 Applied Mathematics and Mechanics. (English Edition) 3 Communications in Statistics. Theory and Methods 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Discrete Dynamics in Nature and Society 3 Acta Mathematica Sinica. English Series 3 Applied Mathematics E-Notes 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Function Spaces and Applications 3 New Mathematics and Natural Computation 3 The College Mathematics Journal 2 Applicable Analysis 2 The Mathematical Gazette 2 Rocky Mountain Journal of Mathematics 2 The Mathematical Intelligencer 2 Demonstratio Mathematica 2 Journal of Computational and Applied Mathematics 2 Journal of Computer and System Sciences 2 Kybernetes 2 Mathematica Slovaca 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Semigroup Forum 2 Tokyo Journal of Mathematics 2 Acta Mathematica Hungarica 2 Annals of Pure and Applied Logic 2 Expositiones Mathematicae 2 Journal of Applied Non-Classical Logics 2 Computational and Applied Mathematics 2 Bulletin des Sciences Mathématiques 2 Journal of Nonparametric Statistics 2 Nexus Network Journal 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Kragujevac Journal of Mathematics 2 Journal of Applied Mathematics 2 Forum Geometricorum 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Logica Universalis 2 Journal of Mathematical Inequalities 2 Differential Equations and Applications 2 Annals of Functional Analysis 2 Mathematical Sciences 2 Journal of Classical Analysis 2 European Journal of Mathematics 2 Prikladnaya Diskretnaya Matematika 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Information Processing Letters 1 Journal of Mathematical Physics 1 Mathematische Semesterberichte 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Annals of the Institute of Statistical Mathematics 1 Functional Analysis and its Applications 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference ...and 76 more Serials
all top 5

### Cited in 44 Fields

 274 Mathematical logic and foundations (03-XX) 140 Difference and functional equations (39-XX) 123 Statistics (62-XX) 115 Functional analysis (46-XX) 111 Computer science (68-XX) 109 Ordinary differential equations (34-XX) 74 Probability theory and stochastic processes (60-XX) 57 Real functions (26-XX) 55 General topology (54-XX) 47 Operator theory (47-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Order, lattices, ordered algebraic structures (06-XX) 27 Geometry (51-XX) 26 Measure and integration (28-XX) 25 Information and communication theory, circuits (94-XX) 24 Sequences, series, summability (40-XX) 20 Partial differential equations (35-XX) 14 Convex and discrete geometry (52-XX) 14 Operations research, mathematical programming (90-XX) 13 Integral equations (45-XX) 13 Systems theory; control (93-XX) 11 Approximations and expansions (41-XX) 8 Combinatorics (05-XX) 8 Number theory (11-XX) 8 Group theory and generalizations (20-XX) 8 Integral transforms, operational calculus (44-XX) 8 Numerical analysis (65-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 History and biography (01-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Biology and other natural sciences (92-XX) 5 Special functions (33-XX) 5 Mathematics education (97-XX) 4 General and overarching topics; collections (00-XX) 4 Category theory; homological algebra (18-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 2 General algebraic systems (08-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Associative rings and algebras (16-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX)

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