Diaz-Vazquez, Susana; Torres-Manzanera, Emilio; Rico, Noelia; Mesiar, Radko; Rodriguez-Martinez, Iosu; Lafuente, Julio; Diaz, Irene; Montes, Susana; Bustince, Humberto A new family of aggregation functions for intervals. (English) Zbl 07784438 Comput. Appl. Math. 43, No. 1, Paper No. 17, 27 p. (2024). MSC: 90B50 26B99 PDFBibTeX XMLCite \textit{S. Diaz-Vazquez} et al., Comput. Appl. Math. 43, No. 1, Paper No. 17, 27 p. (2024; Zbl 07784438) Full Text: DOI OA License
Saminger-Platz, Susanne; Kolesárová, Anna; Šeliga, Adam; Mesiar, Radko; Klement, Erich Peter Parameterized transformations and truncation: when is the result a copula? (English) Zbl 1522.60029 J. Comput. Appl. Math. 436, Article ID 115340, 17 p. (2024). MSC: 60E05 62H05 62H20 PDFBibTeX XMLCite \textit{S. Saminger-Platz} et al., J. Comput. Appl. Math. 436, Article ID 115340, 17 p. (2024; Zbl 1522.60029) Full Text: DOI
Zhang, Deli; Mesiar, Radko; Pap, Endre Pseudo-integral and generalized Choquet integral. (English) Zbl 1522.28038 Fuzzy Sets Syst. 446, 193-221 (2022). MSC: 28E10 26E50 PDFBibTeX XMLCite \textit{D. Zhang} et al., Fuzzy Sets Syst. 446, 193--221 (2022; Zbl 1522.28038) Full Text: DOI
Jwaid, T.; Mesiar, R.; Ismail, A. Haj A generalization of quasi-homogenous copulas. (English) Zbl 1522.62034 Fuzzy Sets Syst. 441, 310-320 (2022). MSC: 62H05 PDFBibTeX XMLCite \textit{T. Jwaid} et al., Fuzzy Sets Syst. 441, 310--320 (2022; Zbl 1522.62034) Full Text: DOI
Mesiar, Radko; Kolesárová, Anna; Senapati, Tapan Aggregation on lattices isomorphic to the lattice of closed subintervals of the real unit interval. (English) Zbl 1522.03273 Fuzzy Sets Syst. 441, 262-278 (2022). MSC: 03E72 PDFBibTeX XMLCite \textit{R. Mesiar} et al., Fuzzy Sets Syst. 441, 262--278 (2022; Zbl 1522.03273) Full Text: DOI
da Cruz Asmus, Tiago; Pereira Dimuro, Graçaliz; Bedregal, Benjamín; Sanz, José Antonio; Mesiar, Radko; Bustince, Humberto Towards interval uncertainty propagation control in bivariate aggregation processes and the introduction of width-limited interval-valued overlap functions. (English) Zbl 1522.03245 Fuzzy Sets Syst. 441, 130-168 (2022). MSC: 03E72 68T37 PDFBibTeX XMLCite \textit{T. da Cruz Asmus} et al., Fuzzy Sets Syst. 441, 130--168 (2022; Zbl 1522.03245) Full Text: DOI arXiv
Aşıcı, Emel; Mesiar, Radko On generating uninorms on some special classes of bounded lattices. (English) Zbl 1522.03236 Fuzzy Sets Syst. 439, 102-125 (2022). MSC: 03E72 03G10 06B05 PDFBibTeX XMLCite \textit{E. Aşıcı} and \textit{R. Mesiar}, Fuzzy Sets Syst. 439, 102--125 (2022; Zbl 1522.03236) Full Text: DOI
Mesiar, Radko; Stupňanová, Andrea; Jin, LeSheng Bipolar ordered weighted averages: BIOWA operators. (English) Zbl 1522.91083 Fuzzy Sets Syst. 433, 108-121 (2022). MSC: 91B06 91B86 PDFBibTeX XMLCite \textit{R. Mesiar} et al., Fuzzy Sets Syst. 433, 108--121 (2022; Zbl 1522.91083) Full Text: DOI
Su, Yong; Zong, Wenwen; Mesiar, Radko Characterization of homogeneous and quasi-homogeneous binary aggregation functions. (English) Zbl 1522.68583 Fuzzy Sets Syst. 433, 96-107 (2022). MSC: 68T37 PDFBibTeX XMLCite \textit{Y. Su} et al., Fuzzy Sets Syst. 433, 96--107 (2022; Zbl 1522.68583) Full Text: DOI
Li, Jun; Mesiar, Radko; Ouyang, Yao; Šeliga, Adam Characterization of decomposition integrals extending Lebesgue integral. (English) Zbl 1522.28029 Fuzzy Sets Syst. 430, 56-68 (2022). MSC: 28E10 26A42 PDFBibTeX XMLCite \textit{J. Li} et al., Fuzzy Sets Syst. 430, 56--68 (2022; Zbl 1522.28029) Full Text: DOI
Aşıcı, Emel; Mesiar, Radko Some construction approaches for t-norms and t-conorms on bounded lattices. (English) Zbl 1509.03151 Aequationes Math. 96, No. 5, 955-979 (2022). Reviewer: Daowen Qiu (Guangzhou) MSC: 03E72 03B52 PDFBibTeX XMLCite \textit{E. Aşıcı} and \textit{R. Mesiar}, Aequationes Math. 96, No. 5, 955--979 (2022; Zbl 1509.03151) Full Text: DOI
Mesiar, Radko; Li, Jun; Ouyang, Yao; Šeliga, Adam A new class of decomposition integrals on finite spaces. (English) Zbl 07581237 Int. J. Approx. Reasoning 149, 192-205 (2022). MSC: 68T37 PDFBibTeX XMLCite \textit{R. Mesiar} et al., Int. J. Approx. Reasoning 149, 192--205 (2022; Zbl 07581237) Full Text: DOI
Mesiar, Radko; Kolesárová, Anna Rectangles-based discrete universal fuzzy integrals. (English) Zbl 07581221 Int. J. Approx. Reasoning 148, 162-173 (2022). MSC: 68T37 PDFBibTeX XMLCite \textit{R. Mesiar} and \textit{A. Kolesárová}, Int. J. Approx. Reasoning 148, 162--173 (2022; Zbl 07581221) Full Text: DOI
Mesiarová-Zemánková, A.; Mesiar, R.; Su, Y. Ordinal sum constructions for aggregation functions on the real unit interval. (English) Zbl 1505.03111 Iran. J. Fuzzy Syst. 19, No. 1, 83-96 (2022). MSC: 03E72 PDFBibTeX XMLCite \textit{A. Mesiarová-Zemánková} et al., Iran. J. Fuzzy Syst. 19, No. 1, 83--96 (2022; Zbl 1505.03111) Full Text: DOI
Daraby, B.; Mesiar, R.; Rostampour, F.; Rahimi, A. Related Thunsdorff type and Frank-Pick type inequalities for Sugeno integral. (English) Zbl 1510.26014 Appl. Math. Comput. 414, Article ID 126683, 6 p. (2022). MSC: 26D15 26E50 28E10 PDFBibTeX XMLCite \textit{B. Daraby} et al., Appl. Math. Comput. 414, Article ID 126683, 6 p. (2022; Zbl 1510.26014) Full Text: DOI
Marco-Detchart, C.; Bustince, H.; Fernandez, J.; Mesiar, R.; Lafuente, J.; Barrenechea, E.; Pintor, J. M. Ordered directional monotonicity in the construction of edge detectors. (English) Zbl 1522.94010 Fuzzy Sets Syst. 421, 111-132 (2021). MSC: 94A08 PDFBibTeX XMLCite \textit{C. Marco-Detchart} et al., Fuzzy Sets Syst. 421, 111--132 (2021; Zbl 1522.94010) Full Text: DOI
Jin, LeSheng; Yager, Ronald R.; Chen, Zhen-Song; Špirkovà, Jana; Paternain, Daniel; Mesiar, Radko; Bustince, Humberto Some bipolar-preferences-involved aggregation methods for a sequence of OWA weight vectors. (English) Zbl 1491.91054 Soft Comput. 25, No. 2, 895-902 (2021). MSC: 91B06 PDFBibTeX XMLCite \textit{L. Jin} et al., Soft Comput. 25, No. 2, 895--902 (2021; Zbl 1491.91054) Full Text: DOI Link
Singh, Vishnu; Mesiar, Radko; Dutta, Bapi; Goh, Mark Residual implications on lattice \(\mathcal{L}\) of intuitionistic truth values based on powers of continuous t-norms. (English) Zbl 1491.03024 Inf. Sci. 550, 109-128 (2021). MSC: 03B52 03G10 PDFBibTeX XMLCite \textit{V. Singh} et al., Inf. Sci. 550, 109--128 (2021; Zbl 1491.03024) Full Text: DOI
Bustince, Humberto; Mesiar, Radko; Dimuro, Graçaliz; Fernandez, Javier; Bedregal, Benjamín The evolution of the notion of overlap functions. (English) Zbl 1485.03224 Lesot, Marie-Jeanne (ed.) et al., Fuzzy approaches for soft computing and approximate reasoning: theories and applications. Cham: Springer. Stud. Fuzziness Soft Comput. 394, 21-29 (2021). MSC: 03E72 03-03 68T37 PDFBibTeX XMLCite \textit{H. Bustince} et al., Stud. Fuzziness Soft Comput. 394, 21--29 (2021; Zbl 1485.03224) Full Text: DOI
Saminger-Platz, Susanne; Kolesárová, Anna; Šeliga, Adam; Mesiar, Radko; Klement, Erich Peter New results on perturbation-based copulas. (English) Zbl 1515.62055 Depend. Model. 9, 347-373 (2021). MSC: 62H05 62F10 62H20 PDFBibTeX XMLCite \textit{S. Saminger-Platz} et al., Depend. Model. 9, 347--373 (2021; Zbl 1515.62055) Full Text: DOI
Šeliga, Adam; Kauers, Manuel; Saminger-Platz, Susanne; Mesiar, Radko; Kolesárová, Anna; Klement, Erich Peter Polynomial bivariate copulas of degree five: characterization and some particular inequalities. (English) Zbl 1497.62123 Depend. Model. 9, 13-42 (2021). MSC: 62H05 26B25 60E05 62E10 62H20 PDFBibTeX XMLCite \textit{A. Šeliga} et al., Depend. Model. 9, 13--42 (2021; Zbl 1497.62123) Full Text: DOI
Saminger-Platz, Susanne; Kolesárová, Anna; Šeliga, Adam; Mesiar, Radko; Klement, Erich Peter The impact on the properties of the EFGM copulas when extending this family. (English) Zbl 1467.62077 Fuzzy Sets Syst. 415, 1-26 (2021). MSC: 62H05 PDFBibTeX XMLCite \textit{S. Saminger-Platz} et al., Fuzzy Sets Syst. 415, 1--26 (2021; Zbl 1467.62077) Full Text: DOI
Bustince, H.; Mesiar, R.; Fernandez, J.; Galar, M.; Paternain, D.; Altalhi, A.; Dimuro, G. P.; Bedregal, B.; Takáč, Z. \(d\)-Choquet integrals: Choquet integrals based on dissimilarities. (English) Zbl 1467.28013 Fuzzy Sets Syst. 414, 1-27 (2021). MSC: 28E10 PDFBibTeX XMLCite \textit{H. Bustince} et al., Fuzzy Sets Syst. 414, 1--27 (2021; Zbl 1467.28013) Full Text: DOI
Jin, LeSheng; Kolesárová, Anna; Mesiar, Radko Semicopula based integrals. (English) Zbl 1467.28015 Fuzzy Sets Syst. 412, 106-119 (2021). MSC: 28E10 PDFBibTeX XMLCite \textit{L. Jin} et al., Fuzzy Sets Syst. 412, 106--119 (2021; Zbl 1467.28015) Full Text: DOI
Jin, LeSheng; Mesiar, Radko; Yager, Ronald R. The properties of crescent preference vectors and their utility in decision making with risk and preferences. (English) Zbl 1464.91033 Fuzzy Sets Syst. 409, 114-127 (2021). MSC: 91B06 91B08 91B86 PDFBibTeX XMLCite \textit{L. Jin} et al., Fuzzy Sets Syst. 409, 114--127 (2021; Zbl 1464.91033) Full Text: DOI
Aşıcı, Emel; Mesiar, Radko On the construction of uninorms on bounded lattices. (English) Zbl 1464.03046 Fuzzy Sets Syst. 408, 65-85 (2021). MSC: 03E72 03G10 PDFBibTeX XMLCite \textit{E. Aşıcı} and \textit{R. Mesiar}, Fuzzy Sets Syst. 408, 65--85 (2021; Zbl 1464.03046) Full Text: DOI
Horanská, L’ubomíra; Bustince, Humberto; Fernandez, Javier; Mesiar, Radko Generalized decomposition integral. (English) Zbl 1483.28014 Inf. Sci. 538, 415-427 (2020). MSC: 28E10 PDFBibTeX XMLCite \textit{L. Horanská} et al., Inf. Sci. 538, 415--427 (2020; Zbl 1483.28014) Full Text: DOI
Bustince, H.; Mesiar, R.; Kolesárová, A.; Dimuro, G. P.; Fernandez, J.; Diaz, I.; Montes, S. On some classes of directionally monotone functions. (English) Zbl 1465.26022 Fuzzy Sets Syst. 386, 161-178 (2020). MSC: 26E50 26A48 PDFBibTeX XMLCite \textit{H. Bustince} et al., Fuzzy Sets Syst. 386, 161--178 (2020; Zbl 1465.26022) Full Text: DOI
Sesma-Sara, Mikel; Mesiar, Radko; Bustince, Humberto Weak and directional monotonicity of functions on Riesz spaces to fuse uncertain data. (English) Zbl 1465.03088 Fuzzy Sets Syst. 386, 145-160 (2020). MSC: 03E72 06F25 46B40 PDFBibTeX XMLCite \textit{M. Sesma-Sara} et al., Fuzzy Sets Syst. 386, 145--160 (2020; Zbl 1465.03088) Full Text: DOI
Chajda, Ivan; Halaš, Radomír; Mesiar, Radko On the decomposability of aggregation functions on direct products of posets. (English) Zbl 1465.03082 Fuzzy Sets Syst. 386, 25-35 (2020). MSC: 03E72 06A06 PDFBibTeX XMLCite \textit{I. Chajda} et al., Fuzzy Sets Syst. 386, 25--35 (2020; Zbl 1465.03082) Full Text: DOI
Dimuro, Graçaliz Pereira; Lucca, Giancarlo; Bedregal, Benjamín; Mesiar, Radko; Sanz, José Antonio; Lin, Chin-Teng; Bustince, Humberto Generalized \(C_{F_1 F_2}\)-integrals: from Choquet-like aggregation to ordered directionally monotone functions. (English) Zbl 1464.26028 Fuzzy Sets Syst. 378, 44-67 (2020). MSC: 26E50 PDFBibTeX XMLCite \textit{G. P. Dimuro} et al., Fuzzy Sets Syst. 378, 44--67 (2020; Zbl 1464.26028) Full Text: DOI
Ouyang, Yao; Li, Jun; Mesiar, Radko Relationship between two types of superdecomposition integrals on finite spaces. (English) Zbl 1464.28021 Fuzzy Sets Syst. 396, 1-16 (2020). MSC: 28E10 PDFBibTeX XMLCite \textit{Y. Ouyang} et al., Fuzzy Sets Syst. 396, 1--16 (2020; Zbl 1464.28021) Full Text: DOI
Jin, LeSheng; Mesiar, Radko; Kalina, Martin; Yager, Ronald R. Canonical form of ordered weighted averaging operators. (English) Zbl 1466.28015 Ann. Oper. Res. 295, No. 2, 605-631 (2020). MSC: 28E10 PDFBibTeX XMLCite \textit{L. Jin} et al., Ann. Oper. Res. 295, No. 2, 605--631 (2020; Zbl 1466.28015) Full Text: DOI
Baczyński, Michał; Jayaram, Balasubramaniam; Mesiar, Radko Fuzzy implications: alpha migrativity and generalised laws of importation. (English) Zbl 1473.03012 Inf. Sci. 531, 87-96 (2020). Reviewer: Vladik Ya. Kreinovich (El Paso) MSC: 03B52 PDFBibTeX XMLCite \textit{M. Baczyński} et al., Inf. Sci. 531, 87--96 (2020; Zbl 1473.03012) Full Text: DOI
Aşıcı, E.; Mesiar, R. Alternative approaches to obtain t-norms and t-conorms on bounded lattices. (English) Zbl 1458.03031 Iran. J. Fuzzy Syst. 17, No. 4, 121-138 (2020). MSC: 03E72 06D72 PDFBibTeX XMLCite \textit{E. Aşıcı} and \textit{R. Mesiar}, Iran. J. Fuzzy Syst. 17, No. 4, 121--138 (2020; Zbl 1458.03031) Full Text: DOI
Ghosh, Debdas; Chauhan, Ram Surat; Mesiar, Radko; Debnath, Amit Kumar Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions. (English) Zbl 1459.49006 Inf. Sci. 510, 317-340 (2020). MSC: 49J50 26A24 90C30 65K05 PDFBibTeX XMLCite \textit{D. Ghosh} et al., Inf. Sci. 510, 317--340 (2020; Zbl 1459.49006) Full Text: DOI
Arias-García, J. J.; Mesiar, R.; De Baets, B. A hitchhiker’s guide to quasi-copulas. (English) Zbl 1452.62343 Fuzzy Sets Syst. 393, 1-28 (2020). MSC: 62H05 PDFBibTeX XMLCite \textit{J. J. Arias-García} et al., Fuzzy Sets Syst. 393, 1--28 (2020; Zbl 1452.62343) Full Text: DOI
Saminger-Platz, Susanne; Kolesárová, Anna; Mesiar, Radko; Klement, Erich Peter The key role of convexity in some copula constructions. (English) Zbl 1440.62192 Eur. J. Math. 6, No. 2, 533-560 (2020). MSC: 62H05 26B25 62E10 39B62 60E15 PDFBibTeX XMLCite \textit{S. Saminger-Platz} et al., Eur. J. Math. 6, No. 2, 533--560 (2020; Zbl 1440.62192) Full Text: DOI
Mesiar, Radko; Kolesárová, Anna Copulas and fuzzy implications. (English) Zbl 1445.68221 Int. J. Approx. Reasoning 117, 52-59 (2020). Reviewer: Vladik Ya. Kreinovich (El Paso) MSC: 68T37 03B52 PDFBibTeX XMLCite \textit{R. Mesiar} and \textit{A. Kolesárová}, Int. J. Approx. Reasoning 117, 52--59 (2020; Zbl 1445.68221) Full Text: DOI
Sesma-Sara, Mikel; De Miguel, Laura; Roldán López de Hierro, Antonio Francisco; Lafuente, Julio; Mesiar, Radko; Bustince, Humberto Pointwise directional increasingness and geometric interpretation of directionally monotone functions. (English) Zbl 1453.68185 Inf. Sci. 501, 236-247 (2019). MSC: 68T37 26B35 PDFBibTeX XMLCite \textit{M. Sesma-Sara} et al., Inf. Sci. 501, 236--247 (2019; Zbl 1453.68185) Full Text: DOI
Kolesárová, Anna; Massanet, Sebastia; Mesiar, Radko; Riera, Juan Vicente; Torrens, Joan Polynomial constructions of fuzzy implication functions: the quadratic case. (English) Zbl 1451.03021 Inf. Sci. 494, 60-79 (2019). MSC: 03B52 PDFBibTeX XMLCite \textit{A. Kolesárová} et al., Inf. Sci. 494, 60--79 (2019; Zbl 1451.03021) Full Text: DOI
Halaš, Radomír; Mesiar, Radko; Pócs, Jozef On generating sets of the clone of aggregation functions on finite lattices. (English) Zbl 1446.06010 Inf. Sci. 476, 38-47 (2019). MSC: 06B05 06A15 08A40 PDFBibTeX XMLCite \textit{R. Halaš} et al., Inf. Sci. 476, 38--47 (2019; Zbl 1446.06010) Full Text: DOI
Halaš, Radomír; Mesiar, Radko; Pócs, Jozef; Torra, Vicenç A note on some algebraic properties of discrete Sugeno integrals. (English) Zbl 1423.28043 Fuzzy Sets Syst. 355, 110-120 (2019). MSC: 28E10 26E50 PDFBibTeX XMLCite \textit{R. Halaš} et al., Fuzzy Sets Syst. 355, 110--120 (2019; Zbl 1423.28043) Full Text: DOI
Mesiar, Radko; Stupňanová, Andrea A note on CC-integral. (English) Zbl 1423.28045 Fuzzy Sets Syst. 355, 106-109 (2019). MSC: 28E10 26E50 91B06 PDFBibTeX XMLCite \textit{R. Mesiar} and \textit{A. Stupňanová}, Fuzzy Sets Syst. 355, 106--109 (2019; Zbl 1423.28045) Full Text: DOI
Ouyang, Yao; Li, Jun; Mesiar, Radko A sufficient condition of equivalence of the Choquet and the pan-integral. (English) Zbl 1423.28046 Fuzzy Sets Syst. 355, 100-105 (2019). MSC: 28E10 26E50 PDFBibTeX XMLCite \textit{Y. Ouyang} et al., Fuzzy Sets Syst. 355, 100--105 (2019; Zbl 1423.28046) Full Text: DOI
Candeloro, Domenico; Mesiar, Radko; Sambucini, Anna Rita A special class of fuzzy measures: Choquet integral and applications. (English) Zbl 1423.28042 Fuzzy Sets Syst. 355, 83-99 (2019). MSC: 28E10 PDFBibTeX XMLCite \textit{D. Candeloro} et al., Fuzzy Sets Syst. 355, 83--99 (2019; Zbl 1423.28042) Full Text: DOI arXiv
Halaš, Radomír; Mesiar, Radko; Pócs, Jozef On generation of aggregation functions on infinite lattices. (English) Zbl 1418.06002 Soft Comput. 23, No. 16, 7279-7286 (2019). MSC: 06B05 06A15 03E75 PDFBibTeX XMLCite \textit{R. Halaš} et al., Soft Comput. 23, No. 16, 7279--7286 (2019; Zbl 1418.06002) Full Text: DOI
Halaš, Radomír; Kurač, Zbyněk; Mesiar, Radko; Pócs, Jozef Binary generating set of the clone of idempotent aggregation functions on bounded lattices. (English) Zbl 1444.08002 Inf. Sci. 462, 367-373 (2018). MSC: 08A40 06A15 06B05 PDFBibTeX XMLCite \textit{R. Halaš} et al., Inf. Sci. 462, 367--373 (2018; Zbl 1444.08002) Full Text: DOI
Lucca, Giancarlo; Antonio Sanz, José; Dimuro, Graçaliz Pereira; Bedregal, Benjamín; Bustince, Humberto; Mesiar, Radko \(C_F\)-integrals: a new family of pre-aggregation functions with application to fuzzy rule-based classification systems. (English) Zbl 1440.68293 Inf. Sci. 435, 94-110 (2018). MSC: 68T37 28E10 PDFBibTeX XMLCite \textit{G. Lucca} et al., Inf. Sci. 435, 94--110 (2018; Zbl 1440.68293) Full Text: DOI
Botur, Michal; Halaš, Radomír; Mesiar, Radko; Pócs, Jozef On generating of idempotent aggregation functions on finite lattices. (English) Zbl 1436.06011 Inf. Sci. 430-431, 39-45 (2018). MSC: 06B05 PDFBibTeX XMLCite \textit{M. Botur} et al., Inf. Sci. 430--431, 39--45 (2018; Zbl 1436.06011) Full Text: DOI arXiv
Sesma-Sara, Mikel; De Miguel, Laura; Pagola, Miguel; Burusco, Ana; Mesiar, Radko; Bustince, Humberto New measures for comparing matrices and their application to image processing. (English) Zbl 1460.94012 Appl. Math. Modelling 61, 498-520 (2018). MSC: 94A08 94A13 15B99 65F99 PDFBibTeX XMLCite \textit{M. Sesma-Sara} et al., Appl. Math. Modelling 61, 498--520 (2018; Zbl 1460.94012) Full Text: DOI Link
Mesiar, Radko; Stupňanová, Andrea; Yager, Ronald R. Extremal symmetrization of aggregation functions. (English) Zbl 1434.91029 Ann. Oper. Res. 269, No. 1-2, 535-548 (2018). MSC: 91B06 28E10 PDFBibTeX XMLCite \textit{R. Mesiar} et al., Ann. Oper. Res. 269, No. 1--2, 535--548 (2018; Zbl 1434.91029) Full Text: DOI
Mesiar, Radko; Kouchakinejad, Fateme; Šipošová, Alexandra On fuzzy solution of a linear optimization problem with max-aggregation function relation inequality constraints. (English) Zbl 1407.90381 Ann. Oper. Res. 269, No. 1-2, 521-533 (2018). MSC: 90C70 90C05 PDFBibTeX XMLCite \textit{R. Mesiar} et al., Ann. Oper. Res. 269, No. 1--2, 521--533 (2018; Zbl 1407.90381) Full Text: DOI
Mesiar, R.; Kolesarova, A. On the fuzzy set theory and aggregation functions: history and some recent advances. (English) Zbl 1407.03062 Iran. J. Fuzzy Syst. 15, No. 7, 1-12 (2018). MSC: 03E72 91B06 PDFBibTeX XMLCite \textit{R. Mesiar} and \textit{A. Kolesarova}, Iran. J. Fuzzy Syst. 15, No. 7, 1--12 (2018; Zbl 1407.03062) Full Text: DOI
Klement, Erich Peter; Mesiar, Radko \(L\)-fuzzy sets and isomorphic lattices: are all the “new” results really new? (English) Zbl 1402.03074 Mathematics 6, No. 9, Paper No. 146, 24 p. (2018). MSC: 03E72 03G25 06B05 PDFBibTeX XMLCite \textit{E. P. Klement} and \textit{R. Mesiar}, Mathematics 6, No. 9, Paper No. 146, 24 p. (2018; Zbl 1402.03074) Full Text: DOI
Arias-García, J. J.; Mesiar, R.; Klement, E. P.; Saminger-Platz, S.; De Baets, B. Extremal Lipschitz continuous aggregation functions with a given diagonal section. (English) Zbl 1397.68178 Fuzzy Sets Syst. 346, 147-167 (2018). MSC: 68T37 26A15 26E50 PDFBibTeX XMLCite \textit{J. J. Arias-García} et al., Fuzzy Sets Syst. 346, 147--167 (2018; Zbl 1397.68178) Full Text: DOI
Mesiar, Radko; Kolesárová, Anna \(k\)-maxitive aggregation functions. (English) Zbl 1397.68185 Fuzzy Sets Syst. 346, 127-137 (2018). MSC: 68T37 91B06 PDFBibTeX XMLCite \textit{R. Mesiar} and \textit{A. Kolesárová}, Fuzzy Sets Syst. 346, 127--137 (2018; Zbl 1397.68185) Full Text: DOI
Roldán-López-de-Hierro, A. F.; Bustince, H.; Fernández, J.; Mesiar, R.; Roldán, C. Two novel methodologies for considering aggregation functions by implicit equations and minimization problems. (English) Zbl 1403.90662 Eur. J. Oper. Res. 270, No. 2, 670-681 (2018). MSC: 90C70 91B06 68M20 PDFBibTeX XMLCite \textit{A. F. Roldán-López-de-Hierro} et al., Eur. J. Oper. Res. 270, No. 2, 670--681 (2018; Zbl 1403.90662) Full Text: DOI
Mesiar, R.; Kolesárová, A.; Bustince, H.; Fernandez, J. Dualities in the class of extended Boolean functions. (English) Zbl 1380.06011 Fuzzy Sets Syst. 332, 78-92 (2018). MSC: 06E30 PDFBibTeX XMLCite \textit{R. Mesiar} et al., Fuzzy Sets Syst. 332, 78--92 (2018; Zbl 1380.06011) Full Text: DOI
Decký, Marián; Mesiar, Radko; Stupňanová, Andrea Deviation-based aggregation functions. (English) Zbl 1380.68355 Fuzzy Sets Syst. 332, 29-36 (2018). MSC: 68T37 PDFBibTeX XMLCite \textit{M. Decký} et al., Fuzzy Sets Syst. 332, 29--36 (2018; Zbl 1380.68355) Full Text: DOI
Halaš, Radomír; Mesiar, Radko; Pócs, Jozef Description of sup- and inf-preserving aggregation functions via families of clusters in data tables. (English) Zbl 1429.68274 Inf. Sci. 400-401, 173-183 (2017). MSC: 68T30 06A15 06B99 PDFBibTeX XMLCite \textit{R. Halaš} et al., Inf. Sci. 400--401, 173--183 (2017; Zbl 1429.68274) Full Text: DOI arXiv
Mesiar, Radko; Li, Jun; Ouyang, Yao On the equality of integrals. (English) Zbl 1434.28047 Inf. Sci. 393, 82-90 (2017). MSC: 28E10 PDFBibTeX XMLCite \textit{R. Mesiar} et al., Inf. Sci. 393, 82--90 (2017; Zbl 1434.28047) Full Text: DOI
Ouyang, Yao; Li, Jun; Mesiar, Radko Coincidences of the concave integral and the pan-integral. (English) Zbl 1456.28010 Symmetry 9, No. 6, Paper No. 90, 9 p. (2017). MSC: 28E10 PDFBibTeX XMLCite \textit{Y. Ouyang} et al., Symmetry 9, No. 6, Paper No. 90, 9 p. (2017; Zbl 1456.28010) Full Text: DOI
Saminger-Platz, Susanne; De Jesús Arias-García, José; Mesiar, Radko; Klement, Erich Peter Characterizations of bivariate conic, extreme value, and Archimax copulas. (English) Zbl 1404.62058 Depend. Model. 5, 45-58 (2017). MSC: 62H05 60E05 PDFBibTeX XMLCite \textit{S. Saminger-Platz} et al., Depend. Model. 5, 45--58 (2017; Zbl 1404.62058) Full Text: DOI
Ouyang, Yao; Li, Jun; Mesiar, Radko On linearity of pan-integral and pan-integrable functions space. (English) Zbl 1426.28029 Int. J. Approx. Reasoning 90, 307-318 (2017). MSC: 28E10 46S40 PDFBibTeX XMLCite \textit{Y. Ouyang} et al., Int. J. Approx. Reasoning 90, 307--318 (2017; Zbl 1426.28029) Full Text: DOI arXiv
Agahi, Hamzeh; Mesiar, Radko; Babakhani, Azizollah Generalized expectation with general kernels on g-semirings and its applications. (English) Zbl 1379.60023 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 3, 863-875 (2017). MSC: 60E15 28C99 PDFBibTeX XMLCite \textit{H. Agahi} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 3, 863--875 (2017; Zbl 1379.60023) Full Text: DOI
Chen, Tao; Mesiar, Radko; Li, Jun; Stupňanová, Andrea Possibility and necessity measures and integral equivalence. (English) Zbl 1426.28003 Int. J. Approx. Reasoning 86, 62-72 (2017). MSC: 28A12 28E10 60E05 PDFBibTeX XMLCite \textit{T. Chen} et al., Int. J. Approx. Reasoning 86, 62--72 (2017; Zbl 1426.28003) Full Text: DOI
Ouyang, Yao; Li, Jun; Mesiar, Radko On the equivalence of the Choquet, pan- and concave integrals on finite spaces. (English) Zbl 1371.28038 J. Math. Anal. Appl. 456, No. 1, 151-162 (2017). MSC: 28E10 PDFBibTeX XMLCite \textit{Y. Ouyang} et al., J. Math. Anal. Appl. 456, No. 1, 151--162 (2017; Zbl 1371.28038) Full Text: DOI
Baczyński, Michał; Grzegorzewski, Przemysław; Mesiar, Radko; Helbin, Piotr; Niemyska, Wanda Fuzzy implications based on semicopulas. (English) Zbl 1394.03042 Fuzzy Sets Syst. 323, 138-151 (2017). MSC: 03B52 62H05 62H86 68T37 PDFBibTeX XMLCite \textit{M. Baczyński} et al., Fuzzy Sets Syst. 323, 138--151 (2017; Zbl 1394.03042) Full Text: DOI
Bustince, Humberto; Beliakov, Gleb; Dimuro, Graçaliz Pereira; Bedregal, Benjamín; Mesiar, Radko On the definition of penalty functions in data aggregation. (English) Zbl 1409.68288 Fuzzy Sets Syst. 323, 1-18 (2017). MSC: 68T37 PDFBibTeX XMLCite \textit{H. Bustince} et al., Fuzzy Sets Syst. 323, 1--18 (2017; Zbl 1409.68288) Full Text: DOI
Karaçal, Funda; Ertuğrul, Ümit; Mesiar, Radko Characterization of uninorms on bounded lattices. (English) Zbl 1393.03032 Fuzzy Sets Syst. 308, 54-71 (2017). MSC: 03E72 03B52 03G10 PDFBibTeX XMLCite \textit{F. Karaçal} et al., Fuzzy Sets Syst. 308, 54--71 (2017; Zbl 1393.03032) Full Text: DOI
Halaš, Radomír; Mesiar, Radko; Pócs, Jozef Generalized comonotonicity and new axiomatizations of Sugeno integrals on bounded distributive lattices. (English) Zbl 1401.28019 Int. J. Approx. Reasoning 81, 183-192 (2017). MSC: 28E10 03E72 68Q25 PDFBibTeX XMLCite \textit{R. Halaš} et al., Int. J. Approx. Reasoning 81, 183--192 (2017; Zbl 1401.28019) Full Text: DOI arXiv
Agahi, Hamzeh; Mesiar, Radko Probability inequalities for decomposition integrals. (English) Zbl 1395.60021 J. Comput. Appl. Math. 315, 240-248 (2017). MSC: 60E15 60A10 28E10 PDFBibTeX XMLCite \textit{H. Agahi} and \textit{R. Mesiar}, J. Comput. Appl. Math. 315, 240--248 (2017; Zbl 1395.60021) Full Text: DOI
Arias-García, J. J.; Mesiar, R.; De Baets, B. The unwalked path between quasi-copulas and copulas: stepping stones in higher dimensions. (English) Zbl 1401.62078 Int. J. Approx. Reasoning 80, 89-99 (2017). MSC: 62H05 PDFBibTeX XMLCite \textit{J. J. Arias-García} et al., Int. J. Approx. Reasoning 80, 89--99 (2017; Zbl 1401.62078) Full Text: DOI
Halaš, Radomír; Mesiar, Radko; Pócs, Jozef Congruences and the discrete Sugeno integrals on bounded distributive lattices. (English) Zbl 1428.28023 Inf. Sci. 367-368, 443-448 (2016). MSC: 28E10 06B10 06D05 PDFBibTeX XMLCite \textit{R. Halaš} et al., Inf. Sci. 367--368, 443--448 (2016; Zbl 1428.28023) Full Text: DOI arXiv
Çaylı, Gül Deniz; Karaçal, Funda; Mesiar, Radko On a new class of uninorms on bounded lattices. (English) Zbl 1521.03211 Inf. Sci. 367-368, 221-231 (2016). MSC: 03E72 PDFBibTeX XMLCite \textit{G. D. Çaylı} et al., Inf. Sci. 367--368, 221--231 (2016; Zbl 1521.03211) Full Text: DOI
Kouchakinejad, F.; Mashinchi, M.; Mesiar, R. Solution-set invariant matrices and vectors in fuzzy relation inequalities based on max-aggregation function composition. (English) Zbl 1417.03275 Iran. J. Fuzzy Syst. 13, No. 7, 91-100 (2016). MSC: 03E72 15B15 PDFBibTeX XMLCite \textit{F. Kouchakinejad} et al., Iran. J. Fuzzy Syst. 13, No. 7, 91--100 (2016; Zbl 1417.03275) Full Text: DOI
Greco, Salvatore; Mesiar, Radko; Rindone, Fabio Generalized bipolar product and sum. (English) Zbl 1474.62169 Fuzzy Optim. Decis. Mak. 15, No. 1, 21-31 (2016). MSC: 62H05 28E10 03E72 03B52 PDFBibTeX XMLCite \textit{S. Greco} et al., Fuzzy Optim. Decis. Mak. 15, No. 1, 21--31 (2016; Zbl 1474.62169) Full Text: DOI Link
Pereira Dimuro, Graçaliz; Bedregal, Benjamín; Bustince, Humberto; Asiáin, Maria José; Mesiar, Radko On additive generators of overlap functions. (English) Zbl 1392.68407 Fuzzy Sets Syst. 287, 76-96 (2016). MSC: 68T37 91B06 PDFBibTeX XMLCite \textit{G. Pereira Dimuro} et al., Fuzzy Sets Syst. 287, 76--96 (2016; Zbl 1392.68407) Full Text: DOI
İnce, Mehmet Akif; Karaçal, Funda; Mesiar, Radko Medians and nullnorms on bounded lattices. (English) Zbl 1374.03044 Fuzzy Sets Syst. 289, 74-81 (2016). MSC: 03E72 03B52 03G10 PDFBibTeX XMLCite \textit{M. A. İnce} et al., Fuzzy Sets Syst. 289, 74--81 (2016; Zbl 1374.03044) Full Text: DOI
Paternain, D.; Bustince, H.; Pagola, M.; Sussner, P.; Kolesárová, A.; Mesiar, R. Capacities and overlap indexes with an application in fuzzy rule-based classification systems. (English) Zbl 1368.68298 Fuzzy Sets Syst. 305, 70-94 (2016). MSC: 68T37 68T10 PDFBibTeX XMLCite \textit{D. Paternain} et al., Fuzzy Sets Syst. 305, 70--94 (2016; Zbl 1368.68298) Full Text: DOI
Mesiar, R.; Kolesárová, A.; Bustince, H.; Dimuro, G. P.; Bedregal, B. C. Fusion functions based discrete Choquet-like integrals. (English) Zbl 1346.91057 Eur. J. Oper. Res. 252, No. 2, 601-609 (2016). MSC: 91B06 28E10 PDFBibTeX XMLCite \textit{R. Mesiar} et al., Eur. J. Oper. Res. 252, No. 2, 601--609 (2016; Zbl 1346.91057) Full Text: DOI
Karaçal, Funda; İnce, Mehmet Akif; Mesiar, Radko Nullnorms on bounded lattices. (English) Zbl 1387.03047 Inf. Sci. 325, 227-236 (2015). MSC: 03E72 06B05 PDFBibTeX XMLCite \textit{F. Karaçal} et al., Inf. Sci. 325, 227--236 (2015; Zbl 1387.03047) Full Text: DOI
Kolesárová, Anna; Mayor, Gaspar; Mesiar, Radko Quadratic constructions of copulas. (English) Zbl 1390.62090 Inf. Sci. 310, 69-76 (2015). MSC: 62H05 PDFBibTeX XMLCite \textit{A. Kolesárová} et al., Inf. Sci. 310, 69--76 (2015; Zbl 1390.62090) Full Text: DOI
Bacigál, Tomáš; Mesiar, Radko; Najjari, Vadoud Generators of copulas and aggregation. (English) Zbl 1390.62088 Inf. Sci. 306, 81-87 (2015). MSC: 62H05 60E05 PDFBibTeX XMLCite \textit{T. Bacigál} et al., Inf. Sci. 306, 81--87 (2015; Zbl 1390.62088) Full Text: DOI
Li, Jun; Mesiar, Radko; Pap, Endre; Klement, Erich Peter Convergence theorems for monotone measures. (English) Zbl 1368.28009 Fuzzy Sets Syst. 281, 103-127 (2015). MSC: 28E10 PDFBibTeX XMLCite \textit{J. Li} et al., Fuzzy Sets Syst. 281, 103--127 (2015; Zbl 1368.28009) Full Text: DOI
Klement, Erich Peter; Li, Jun; Mesiar, Radko; Pap, Endre Integrals based on monotone set functions. (English) Zbl 1368.28008 Fuzzy Sets Syst. 281, 88-102 (2015). MSC: 28E10 26E50 PDFBibTeX XMLCite \textit{E. P. Klement} et al., Fuzzy Sets Syst. 281, 88--102 (2015; Zbl 1368.28008) Full Text: DOI
De Baets, B.; De Meyer, H.; Kalická, J.; Mesiar, R. On the relationship between modular functions and copulas. (English) Zbl 1361.62026 Fuzzy Sets Syst. 268, 110-126 (2015). MSC: 62H05 62H20 PDFBibTeX XMLCite \textit{B. De Baets} et al., Fuzzy Sets Syst. 268, 110--126 (2015; Zbl 1361.62026) Full Text: DOI
Kesicioğlu, M. Nesibe; Karaçal, Funda; Mesiar, Radko Order-equivalent triangular norms. (English) Zbl 1361.03019 Fuzzy Sets Syst. 268, 59-71 (2015). MSC: 03B52 03E72 PDFBibTeX XMLCite \textit{M. N. Kesicioğlu} et al., Fuzzy Sets Syst. 268, 59--71 (2015; Zbl 1361.03019) Full Text: DOI
Kolesárová, Anna; Mesiar, Radko On linear and quadratic constructions of aggregation functions. (English) Zbl 1360.68839 Fuzzy Sets Syst. 268, 1-14 (2015). MSC: 68T37 PDFBibTeX XMLCite \textit{A. Kolesárová} and \textit{R. Mesiar}, Fuzzy Sets Syst. 268, 1--14 (2015; Zbl 1360.68839) Full Text: DOI
Bacigál, Tomáš; Najjari, Vadoud; Mesiar, Radko; Bal, Hasan Additive generators of copulas. (English) Zbl 1360.68829 Fuzzy Sets Syst. 264, 42-50 (2015). MSC: 68T37 62H20 62H86 PDFBibTeX XMLCite \textit{T. Bacigál} et al., Fuzzy Sets Syst. 264, 42--50 (2015; Zbl 1360.68829) Full Text: DOI
Mesiar, Radko; Stupňanová, Andrea Open problems from the 12th international conference on fuzzy set theory and its applications. (English) Zbl 1361.03024 Fuzzy Sets Syst. 261, 112-123 (2015). MSC: 03B52 03E72 06D35 PDFBibTeX XMLCite \textit{R. Mesiar} and \textit{A. Stupňanová}, Fuzzy Sets Syst. 261, 112--123 (2015; Zbl 1361.03024) Full Text: DOI
Paternain, D.; Fernandez, J.; Bustince, H.; Mesiar, R.; Beliakov, G. Construction of image reduction operators using averaging aggregation functions. (English) Zbl 1360.68881 Fuzzy Sets Syst. 261, 87-111 (2015). MSC: 68U10 PDFBibTeX XMLCite \textit{D. Paternain} et al., Fuzzy Sets Syst. 261, 87--111 (2015; Zbl 1360.68881) Full Text: DOI
Karaçal, Funda; Mesiar, Radko Uninorms on bounded lattices. (English) Zbl 1366.03229 Fuzzy Sets Syst. 261, 33-43 (2015). Reviewer: Salvatore Sessa (Napoli) MSC: 03E72 03B52 03G10 PDFBibTeX XMLCite \textit{F. Karaçal} and \textit{R. Mesiar}, Fuzzy Sets Syst. 261, 33--43 (2015; Zbl 1366.03229) Full Text: DOI
Agahi, Hamzeh; Babakhani, Azizollah; Mesiar, Radko Pseudo-fractional integral inequality of Chebyshev type. (English) Zbl 1364.26023 Inf. Sci. 301, 161-168 (2015). MSC: 26D15 26A33 PDFBibTeX XMLCite \textit{H. Agahi} et al., Inf. Sci. 301, 161--168 (2015; Zbl 1364.26023) Full Text: DOI
Kolesárová, Anna; Mesiar, Radko; Montero, Javier Sequential aggregation of bags. (English) Zbl 1360.68685 Inf. Sci. 294, 305-314 (2015). MSC: 68T05 PDFBibTeX XMLCite \textit{A. Kolesárová} et al., Inf. Sci. 294, 305--314 (2015; Zbl 1360.68685) Full Text: DOI
Kolesárová, Anna; Mesiar, Radko 1-Lipschitz power stable aggregation functions. (English) Zbl 1360.68838 Inf. Sci. 294, 57-63 (2015). MSC: 68T37 PDFBibTeX XMLCite \textit{A. Kolesárová} and \textit{R. Mesiar}, Inf. Sci. 294, 57--63 (2015; Zbl 1360.68838) Full Text: DOI
Agahi, Hamzeh; Mesiar, Radko On Cauchy-Schwarz’s inequality for Choquet-like integrals without the comonotonicity condition. (English) Zbl 1360.28014 Soft Comput. 19, No. 6, 1627-1634 (2015). MSC: 28E10 26E50 PDFBibTeX XMLCite \textit{H. Agahi} and \textit{R. Mesiar}, Soft Comput. 19, No. 6, 1627--1634 (2015; Zbl 1360.28014) Full Text: DOI
Mesiar, Radko; Li, Jun; Pap, Endre Superdecomposition integrals. (English) Zbl 1335.28004 Fuzzy Sets Syst. 259, 3-11 (2015). MSC: 28E10 PDFBibTeX XMLCite \textit{R. Mesiar} et al., Fuzzy Sets Syst. 259, 3--11 (2015; Zbl 1335.28004) Full Text: DOI
Mesiar, Radko; Smrek, Peter Choquet-like integrals with respect to level-dependent capacities and \(\varphi \)-ordinal sums of aggregation function. (English) Zbl 1340.28020 Kybernetika 51, No. 3, 420-432 (2015). MSC: 28E10 28E05 PDFBibTeX XMLCite \textit{R. Mesiar} and \textit{P. Smrek}, Kybernetika 51, No. 3, 420--432 (2015; Zbl 1340.28020) Full Text: DOI Link