In this paper, we introduce and formulate the definitions of Banach operator type k and Banach operator pair on intuitionistic fuzzy metric space. Thereafter we prove some properties and theorems on intuitionistic fuzzy metric space.

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, we study some properties of intuitionistic fuzzy tautological matrix using intuitionistic fuzzy implication operator.

Within the frame of decision aid literature, decision making problems with multiple sources of information have drawn the attention of researchers from a wide spectrum of disciplines. In decision situations with multiple individuals, each one has his own knowledge on the alternatives of the decision problem. The use of information assessed in different domains is not a seldom situation. This no...

Extensive decision-making during the vaccine preparation period is unpredictable. An account of severity disease, younger people with COVID-19 comorbidities and other chronic diseases are also at a higher risk pandemic. In this research article, preference ranking structure for recommended young who have been exposed to effects certain diseases. Multiple Criteria Decision-Making (MCDM) approach...

In this paper, we propose a novel approach, based on entropy and similarity measure of intuitionistic fuzzy sets, to determine weights of the IFOWA operator. Then we define a new intuitionistic fuzzy dependent OWA (IFDOWA) operator which is applied to handling multi-attribute group decision making problem with intuitionistic fuzzy information. Finally, an example is given to demonstrate the rat...

In this work we introduce the concept of Generalized Atanassov’s Intuitionistic Fuzzy Index. We characterize it in terms of fuzzy implication operators and we propose a construction method with automorphisms. Finally, we study some special properties of the generalized Atanassov’s intuitionistic fuzzy index. Keywords— Atanassov’s Intuitionistic Fuzzy Index, Fuzzy Implication Operator, Automorph...

With respect to different confidence on evaluation result from different decision-makers to the hybrid multi-attribute with risk, an approach to group decisionmaking based on prospect theory and projection theory is proposed. Firstly, a tuple is established to record the evaluation result and the hybrid decision information. Then the element of the tuple is changed into a single triangular fuzz...

An nth power root fuzzy set is a useful extension of for expressing uncertain data. Because their wider range showing membership grades, sets can cover more ambiguous situations than intuitionistic sets. In this article, we present several novel operations on sets, as well various features. Besides, develop new weighted aggregated operator, namely, average (nPR-FWPA) over to deal with choice in...