1. Hesitant distance as a fuzzy metric
Title | Hesitant distance as a fuzzy metric |
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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 |