based on the point of view of geometrical representation of an intuitionistic fuzzy set, we take into account all three parameters describing intuitionistic fuzzy set, propose a kind of new method to calculate correlation and correlation coefficient of intuitionistic fuzzy sets which is similar to the cosine of the intersectional angle in finite sets and probability space, respectively. further...

In this paper we introduce the notion of additive and multiplicative generators on the lattice L , which is the underlying lattice of interval-valued fuzzy set theory (which is equivalent to intuitionistic fuzzy set theory in the sense of Atanassov). We study the properties of these operators, some of which are similar to well-known results on ([0, 1],≤).

The problem of segmentation in spite of all the work over the last decades, is still an important research field and also a critical preprocessing step for image processing, mostly due to the fact that finding a global optimal threshold that works well for all kind of images is indeed a near impossible task that, probably, will never be accomplished. During the past years, fuzzy logic theory ha...

Abstract In this study, in order to prevent information loss, we propose two dissimilarity measures between intuitionistic fuzzy sets ( IFSs ), which consider membership and non-membership degree is farther extension of Fuzzy FSs ). Additionally, have examined the characteristics proposed metrics confirm their validity. We then conducted a series experiments, including numerical experimentation...

A dominating set D of an IFG G = (V, E) is a non-split dominating set, if the induced intuitionistic fuzzy subgraph 〈ܸ − ‫〉ܦ‬ is connected. The Non-split domination number ߛ ௡௦ ሺ‫ܩ‬ሻ of IFG G is the minimum cardinality of all Non-split dominating set. In this paper we study some theorems in Non-split dominating sets of IFG and some results of ߛ ௡௦ ሺ‫ܩ‬ሻwith other known parameters of IFG G. 1. In...

Intuitionistic fuzzy sets (IFSs) are key concepts in ambiguity and uncertainty. However, IFSs deal only with anticipation, not periodicity. To do so, complex intuitionistic (CIFS) can handle uncertainties periodicity simultaneously. Also, the Maclaurin symmetric mean (MSM) operator is a better tool for dealing criteria’s interrelationships. As result, this article presents multi-criteria decisi...

In this paper, pretopological and topological operators are introduced based on partially continuous linear transformations of the membership and non-membership functions for intuitionistic fuzzy sets. They turn out to be a generalization of the topological operators for intuitionistic fuzzy sets.On the other hand it is a generalization of the fuzzy set pretopological operators introduced...

The intuitionistic fuzzy set has been applied to game theory very rarely since it was introduced by Atanassov in 1983. The aim of this paper is to develop an effective methodology for solving matrix games with payoffs of Atanassov’s triangular intuitionistic fuzzy numbers (TIFNs). In this methodology, the concepts and ranking order relations of Atanassov’s TIFNs are defined. A pair of bi-object...

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 the Archimedean property of t-norms on the lattice L is investigated, where L is the underlying lattice of interval-valued fuzzy set theory (Sambuc, 1975) and intuitionistic fuzzy set theory (Atanassov, 1983). We discuss also two additional variations on this property: the weak and strong Archimedean property.