Hesitant distance as a fuzzy metric

Kobza, Vladimír, 1988- Hesitant distance as a fuzzy metric / Vladimír Kobza, Vladimír Janiš. -- 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

In EUROFUSE 2013 : workshop on uncertainty and imprecision modelling in decision making, December 2-4, 2013, Oviedo De Baets, Bernard. -- Oviedo : Universidad de Oviedo, 2013. -- ISBN ISBN 978-84-16046-04-1. -- S. 145-148

1. fuzzy množiny 2. metrické priestory 3. triangular norms

I. Janiš, Vladimír, 1963-
II. EUROFUSE 2013 : workshop on uncertainty and imprecision modelling in decision making, December 2-4, 2013, Oviedo. -- S. 145-148

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