Some remarks on axiomatic definition of entropy measure
AbstractThe 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.
|Journal series||Journal of Intelligent & Fuzzy Systems, ISSN 1064-1246, [1875-8967], (A 25 pkt)|
|Publication size in sheets||0.5|
|Keywords in English||fuzzy set, intuitionistic fuzzy set, entropy measure, ambiguity, indistinctness, undecidability|
|ASJC Classification||; ;|
|Score||= 25.0, 12-03-2020, ArticleFromJournal|
|Publication indicators||= 1; : 2017 = 0.798; : 2017 = 1.426 (2) - 2017=1.594 (5)|
|Citation count*||6 (2020-10-13)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.