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Title Properties of extremal families of MN-convex (MN-concave) functions Author info Urszula Bentkowska ... [et al.] Author Bentkowska Urszula (5%)
Co-authors Díaz Susana (5%)
Drewniak Józef (5%)
Janiš Vladimír 1963- (80%) UMBFP10 - Katedra matematiky
Montes Susana (5%)
Source document Fuzzy Sets and Systems : An International Journal in Information Science and Engineering. Vol. 325 (2017), pp. 47-57. - Amsterdam : Elsevier B.V., 2017 Keywords convex functions aggregation functions concave functions Language English Country Netherlands systematics 51 Annotation MN-convex and MN-concave functions are examined and compared for particular cases of M and N. Characteri- zation of pairs M,N for the family of MN-convex (MN-concave) functions consisting of all functions and partial characterization of pairs M,N for the family of MN-convex functions consisting of all constant functions will be presented. The condition of MN-convexity was proposed by Aumann in 1933. It was convexity with respect to arbitrary binary means M and N (abbreviated to MN-convexity). Recently many authors have considered this notion with suitable pairs of means. Here aggregation functions M,N will be used for this type of convexity and concavity Public work category ADC No. of Archival Copy 40468 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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Title Generalized convexities related to aggregation operators of fuzzy sets Author info Susana Díaz ... [et al.] Author Díaz Susana (5%)
Co-authors Induráin Esteban (5%)
Janiš Vladimír 1963- (80%) UMBFP10 - Katedra matematiky
Llinares Juan Vicente (5%)
Montes Susana (5%)
Source document Kybernetika. Roč. 53, č. 3 (2017), s. 383-393. - Praha : Akademie věd České republiky, 2017 Keywords fuzzy množiny - fuzzy sets konvexnosť - convexity aggregation functions Language English Country Czech Republic systematics 51 Annotation We analyze the existence of fuzzy sets of a universe that are convex with respect to cer- tain particular classes of fusion operators that merge two fuzzy sets. In addition, we study aggregation operators that preserve various classes of generalized convexity on fuzzy sets. We focus our study on fuzzy subsets of the real line, so that given a mapping F : [0, 1] × [0,1] → [0,1], a fuzzy subset, say X, of the real line is said to be F-convex if for any x,y,z ∈ R such that x ≤ y ≤ z, it holds that μX(y) ≥ F(μX(x),μX(z)), where μX : R → [0,1] stands here for the membership function that defines the fuzzy set X. We study the existence of such sets paying attention to different classes of aggregation operators (that is, the corresponding functions F , as above), and preserving F -convexity under aggregation of fuzzy sets. Among those typical classes, triangular norms T will be analyzed, giving rise to the concept of norm convexity or T-convexity, as a particular case of F-convexity. Other different kinds of generalized convexities will also be discussed as a by-product Public work category ADC No. of Archival Copy 40454 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Resemblance as a divergence measure Author info Vladimír Janiš Author Janiš Vladimír 1963- (100%) UMBFP10 - Katedra matematiky
Source document EUROFUSE 2013 : workshop on uncertainty and imprecision modelling in decision making, December 2-4, 2013, Oviedo. S. 139-143. - Oviedo : Universidad de Oviedo, 2013 / De Baets Bernard ; Fodor János ; Montes Susana ; Barrenechea Edurne ; Díaz Susana ; Kráľ Pavol 1978- ; EUROFUSE 2013 workshop Keywords divergence measure resemblance relation fuzzy nearness similarity Language English Country Spain systematics 51 Public work category AFC No. of Archival Copy 31878 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title Hesitant distance as a fuzzy metric Author info Vladimír Kobza, Vladimír Janiš Author Kobza Vladimír 1988- (50%) UMBFP10 - Katedra matematiky
Co-authors Janiš Vladimír 1963- (50%) UMBFP10 - Katedra matematiky
Source document EUROFUSE 2013 : workshop on uncertainty and imprecision modelling in decision making, December 2-4, 2013, Oviedo. S. 145-148. - Oviedo : Universidad de Oviedo, 2013 / De Baets Bernard ; Fodor János ; Montes Susana ; Barrenechea Edurne ; Díaz Susana ; Kráľ Pavol 1978- ; EUROFUSE 2013 workshop Keywords fuzzy množiny - fuzzy sets metrické priestory - metric spaces triangular norms Language English Country Spain systematics 51 Annotation The motivation for this study is the case of evaluating distance of a pair of points in the universe X having available a nite set of its evaluations. Based on such set of evaluation we construct a fuzzy quantity on X2 describing the result of this evaluation. We show that assuming any triangular norm bounded from above by the Lukasiewicz triangular norm we obtain a fuzzy metric space. We show that for the minimum t-norm the resulting structure need not be a fuzzy metric space Public work category AFC No. of Archival Copy 31877 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title EUROFUSE 2013 Subtitle workshop on uncertainty and imprecision modelling in decision making, December 2-4, 2013, Oviedo Author info ed. Bernard De Baets, János Fodor, Susana Montes; rec. Edurne Barrenechea, Susana Díaz, Pavol Kráľ Another authors De Baets Bernard (Editor)
Fodor János (Editor)
Montes Susana (Editor)
Barrenechea Edurne (Recenzent)
Díaz Susana (Recenzent)
Kráľ Pavol 1978- (Recenzent)
Corporation EUROFUSE 2013 . workshop , Oviedo , 02.-04.2013 Issue data Oviedo : Universidad de Oviedo , 2013 Issue 1. vyd. ISBN 978-84-16046-04-1 Language English Country Spain Public work category FAI Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References (2) - PUBLIKAČNÁ ČINNOSŤ 
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