Some remarks on axiomatic definition of entropy measure

Krzysztof Piasecki


The entropy measure is predefined as a mapping, increasing with an increase in the fuzziness of evaluated set. The relation "is less fuzzy than" is strictly modeled by an inequality fulfilled by membership functions. This inequality is systematically repeated across the literature. In this paper we show that it is incorrect. We prove that the relation "is less fuzzy than" should be modeled by an inclusion. Obtained conclusions are applied in a more precise definition of entropy measure.
Author Krzysztof Piasecki (WZ / KIiN)
Krzysztof Piasecki,,
- Department of Investment and Real Estate
Journal seriesJournal of Intelligent & Fuzzy Systems, ISSN 1064-1246, [1875-8967], (A 25 pkt)
Issue year2017
Publication size in sheets0.5
Keywords in Englishfuzzy set, intuitionistic fuzzy set, entropy measure, ambiguity, indistinctness, undecidability
ASJC Classification1702 Artificial Intelligence; 2200 General Engineering; 2613 Statistics and Probability
Languageen angielski
Score (nominal)25
Score sourcejournalList
ScoreMinisterial score = 25.0, 12-03-2020, ArticleFromJournal
Publication indicators WoS Citations = 1; Scopus SNIP (Source Normalised Impact per Paper): 2017 = 0.798; WoS Impact Factor: 2017 = 1.426 (2) - 2017=1.594 (5)
Citation count*6 (2020-10-13)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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