Some new fuzzy entropy formulas

Determination of entropy measures for the ordinal scale-based linguistic models

“…Moreover, we introduce some entropy measures for linguistic terms using Shannon's [55] probabilistic entropy, (p, q)-entropy of a probability distribution [52], trigonometric entropies [14], and so on. Section 3 is devoted to the results on the transformation of the similarity measures to the entropy measures.…”

“…• S * (τ ) is used to denote either the additive linguistic term set S + φ(τ ) given by (8), or the multiplicative linguistic term set S × ϕ(τ ) given by (14);…”

Entropy of Credibility Distributions for Fuzzy Variables

“…Yager [41], [42] provided another way to view the degree of fuzziness in terms of a lack of distinction between a proposition and its negation. This concept was extended by Higashi and Klir [13] of literature concerning the definition of fuzzy entropy and its applications such as Pal and Pal [30], [31], Yager [47], and Fan and Ma [8]. A good survey of fuzzy entropy for finite universal sets can be found in Pal and Bezdek [34], [35].…”

Some new entropy measures for interval-valued intuitionistic fuzzy sets based on distances and their relationships with similarity and inclusion measures

“…Additionally, some inclusion measures of IFSs and IvIFSs have been proposed in [6,18], which also play important roles in the application areas such as approximate reasoning, statistical inference and decision making. Moreover, a large number of researchers have studied information entropy measures for fuzzy set from different aspects [8,4,9,24]. Later, Szmidt [25] and Vlachos [26] proposed some intuitionistic fuzzy information entropy measures for IFSs and applied them to pattern recognition.…”