The entropy of intuitionistic fuzzy sets is used to indicate the degree of fuzziness of an interval-valued intuitionistic fuzzy set(IvIFS). In this paper, we deal with the entropies of IvIFSs. Firstly, we propose a set of entropies on IvIFSs with a parameter λ ∈ [0,+∞), which generalizes the entropy measure defined by Gao, for IvIFSs, and then we prove that the new entropy is an increasing func...

*Correspondence: [email protected] 1Department of Applied Mathematics, School of Science, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China Full list of author information is available at the end of the article Abstract This study aims to explore modular inequalities of interval-valued fuzzy soft sets characterized by Jun’s soft J-inclusions. Using soft product operations...

Abstract The similarity measures are essential concepts to discuss the closeness between sets. Fuzzy and intuitionistic fuzzy dealt with incomplete inconsistent data more efficiently. With time in decision-making theory, a complex frame of environment that occurs cannot be specified entirely by these A generalization like Pythagorean set can handle such situation applicability this attracted re...

We extend the main idea of a fuzzy analysis of consensus introduced by Spillman, Spillman and Bezdek [12] that is based on a concept of a distance from consensus to a case when individual testimonies are individual intuitionistic fuzzy preference relations, as opposed to fuzzy preference relations commonly employed. Intuitionistic fuzzy preference relations, that in addition to a membership deg...

Hesitant fuzzy sets are very useful to deal with group decision making problems when experts have a hesitation among several possible memberships for an element to a set. During the evaluating process in practice, however, these possible memberships may be not only crisp values in [0,1], but also interval values. In this study, we extend hesitant fuzzy sets by intuitionistic fuzzy sets and refe...

This work introduces a program to enhance images taken in low-light. Fuzzy set theory is creating significant shift image processing. Interval-valued intuitionistic fuzzy sets (IVIFS) based on constructed from are used In the proposed method, first given low-light fuzzified by normal fuzzification. Then converted an interval-valued image. will be enhanced after applying contrast limited adaptiv...

In this paper, we first use a fuzzy preference relation with a membership function representing preference degree forcomparing two interval-valued fuzzy numbers and then utilize a relative preference relation improved from the fuzzypreference relation to rank a set of interval-valued fuzzy numbers. Since the fuzzy preference relation is a total orderingrelation that satisfies reciprocal and tra...