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...

Matrices play important roles in various areas in science and engineering. The classical matrix theory can not solve the problems involving various types of uncertainties. That type of problems are solved by using fuzzy matrix [14]. Later much works have been done by many researchers. Fuzzy matrix deals with only membership values. These matrices can not deal non membership values. Intuitionist...

To address uncertainty and hesitation of a real-life problem, interval-valued intuitionistic fuzzy sets (IVIFSs) have received increasing interest among researchers industrialists. In this paper, we present an advanced illustration IVIFSs using physical distancing during COVID-19 to understand the deep concept IVIFSs. Due special feature IVIFSs, it finds better decision problem having hesitatio...

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...

The Atanassov’s intuitionistic fuzzy (IF) set theory has become a popular topic of investigation in the fuzzy set community. However, there is less investigation on the representation of level sets and extension principles for interval-valued intuitionistic fuzzy (IVIF) sets as well as algebraic operations. In this paper, firstly the representation theorem of IVIF sets is proposed by using the ...

in this note we consider the notion of intuitionistic fuzzy (weak) dual hyper k-ideals and obtain related results. then we classify this notion according to level sets. after that we determine the relationships between intuitionistic fuzzy (weak) dual hyper k-ideals and intuitionistic fuzzy (weak) hyper k-ideals. finally, we define the notion of the product of two intuitionistic fuzzy (weak) du...

The author would like to thank Ioannis K. Vlachos, George D. Sergiadis [1] for providing some comments on the paper “Image thresholding using type II fuzzy sets” [2]. The main subject of the comments deals with the relationship between interval-values fuzzy sets (IVFSs) and the intuitionistic fuzzy sets (IFSs) on one side and the entropy measures introduced on the other side. Apparently, this i...

In this paper, the notions of $(T,S)$-composition matrix and$(T,S)$-interval-valued intuitionistic fuzzy equivalence matrix areintroduced where $(T,S)$ is a dual pair of triangular module. Theyare the generalization of composition matrix and interval-valuedintuitionistic fuzzy equivalence matrix. Furthermore, theirproperties and characterizations are presented. Then a new methodbased on $tilde{...