The intuitionistic uncertain fuzzy linguistic variable can easily express the fuzzy information, and the power average (PA) operator is a useful tool which provides more versatility in the information aggregation procedure. At the same time, Einstein operations are a kind of various t-norms and t-conorms families which can be used to perform the corresponding intersections and unions of intuiti...

In 1965, Zadeh [30] introduced a concept of a fuzzy set as the generalization of a crisp set. Also, in 1971, he introduced a fuzzy relation naturally, as a generalization of a crisp relation in [31]. Nel [27] introduced the notion of a topological universe which implies concrete quasitopos [1]. Every topological universe satisfies all the properties of a topos except one condition on the subobj...

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...

Intuitionistic fuzzy sets (IFSs), as a representative variant of sets, has substantial advantages in managing and modeling uncertain information, so it been widely studied applied. Nevertheless, how to perfectly measure the similarities or differences between IFSs is still an open question. The distance metric offers elegant desirable solution such Hence, this paper, we propose new measure, nam...

The present study introduces a decision-making approach with the combined compromise solution (CoCoSo) under intuitionistic fuzzy sets (IFSs) named as IF-CoCoSo method based on proposed divergence measures and score function. aim of presented is to obtain an effective for multi-criteria problems IFSs context. In this line, new procedure derive criteria weights using generalized function paramet...

We first propose a series of similarity measures for intuitionistic fuzzy values (IFVs) based on the intuitionistic fuzzy operators (Atanassov 1995). The parameters in the proposed similarity measures can control the degree of membership and the degree of non-membership of an IFV, which can reflect the decision maker’s risk preference. Moreover, we can obtain some known similarity measures when...

In this paper, a Mean Potentiality Approach for a balanced solution of an Intuitionistic Fuzzy Soft Set (IFSS) based decision making problem is proposed using level soft sets. Further, a parameter reduction procedure has been used to reduce the choice parameter set with the help of the balanced algorithm of mean potentiality approach. Moreover, we implement this mean potentiality approach of a ...

Due to the increasing competition of globalization, selection of the most appropriate supplier is one of the key factors for the success of a supply chain management. Due to conflicting evaluations and insufficient information about the criteria, Intuitionistic fuzzy sets (IFSs) are considered as an impressive tool and utilized to specify the relative importance of the criteria. The aim of this...

The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results re...