Výsledky vyhľadávania
Názov Generalized convexities related to aggregation operators of fuzzy sets Aut.údaje Susana Díaz ... [et al.] Autor Díaz Susana (5%)
Spoluautori Induráin Esteban (5%)
Janiš Vladimír 1963- (80%) UMBFP10 - Katedra matematiky
Llinares Juan Vicente (5%)
Montes Susana (5%)
Zdroj.dok. Kybernetika. Roč. 53, č. 3 (2017), s. 383-393. - Praha : Akademie věd České republiky, 2017 Kľúč.slová fuzzy množiny - fuzzy sets konvexnosť - convexity aggregation functions Jazyk dok. angličtina Krajina Česká republika Systematika 51 Anotácia 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 Kategória publikačnej činnosti ADC Číslo archívnej kópie 40454 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika Názov Properties of extremal families of MN-convex (MN-concave) functions Aut.údaje Urszula Bentkowska ... [et al.] Autor Bentkowska Urszula (5%)
Spoluautori Díaz Susana (5%)
Drewniak Józef (5%)
Janiš Vladimír 1963- (80%) UMBFP10 - Katedra matematiky
Montes Susana (5%)
Zdroj.dok. Fuzzy Sets and Systems : An International Journal in Information Science and Engineering. Vol. 325 (2017), pp. 47-57. - Amsterdam : Elsevier B.V., 2017 Kľúč.slová convex functions aggregation functions concave functions Jazyk dok. angličtina Krajina Holandsko Systematika 51 Anotácia 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 Kategória publikačnej činnosti ADC Číslo archívnej kópie 40468 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika Názov EUROFUSE 2013 Podnázov workshop on uncertainty and imprecision modelling in decision making, December 2-4, 2013, Oviedo Aut.údaje ed. Bernard De Baets, János Fodor, Susana Montes; rec. Edurne Barrenechea, Susana Díaz, Pavol Kráľ Ďalší autori De Baets Bernard (Editor)
Fodor János (Editor)
Montes Susana (Editor)
Barrenechea Edurne (Recenzent)
Díaz Susana (Recenzent)
Kráľ Pavol 1978- (Recenzent)
Korp. EUROFUSE 2013 . workshop , Oviedo , 02.-04.2013 Vyd.údaje Oviedo : Universidad de Oviedo , 2013 Vydanie 1. vyd. ISBN 978-84-16046-04-1 Jazyk dok. angličtina Krajina Španielsko Kategória publikačnej činnosti FAI Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy (2) - PUBLIKAČNÁ ČINNOSŤ Názov Resemblance as a divergence measure Aut.údaje Vladimír Janiš Autor Janiš Vladimír 1963- (100%) UMBFP10 - Katedra matematiky
Zdroj.dok. 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 Kľúč.slová divergence measure resemblance relation fuzzy nearness similarity Jazyk dok. angličtina Krajina Španielsko Systematika 51 Kategória publikačnej činnosti AFC Číslo archívnej kópie 31878 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Názov Hesitant distance as a fuzzy metric Aut.údaje Vladimír Kobza, Vladimír Janiš Autor Kobza Vladimír 1988- (50%) UMBFP10 - Katedra matematiky
Spoluautori Janiš Vladimír 1963- (50%) UMBFP10 - Katedra matematiky
Zdroj.dok. 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 Kľúč.slová fuzzy množiny - fuzzy sets metrické priestory - metric spaces triangular norms Jazyk dok. angličtina Krajina Španielsko Systematika 51 Anotácia 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 Kategória publikačnej činnosti AFC Číslo archívnej kópie 31877 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ