The concept of intuitionistic fuzzy subhyperquasigroups in a hyperquasigroup with respect to an snorm and a t-norm on intuitionistic fuzzy sets is introduced and their properties of such hyperquasigroups are studied. Intuitionistic (S, T )-fuzzy relations on a hyperquasigroup G are discussed. In particular, we investigate connections hyperquasigroups with binary quasigroups.

Recently, F.Smarandache generalized the Atanassov’s intuitionistic fuzzy sets and other kinds of sets to neutrosophic sets. Also, this author de…ned the notion of neutrosophic topology on the non-standard interval. One can expect some relation between the intuitionistic fuzzy topology on an IFS and the neutrosophic topology. We show in this work that this is false.

This paper addresses the issue of similarity measures of intuitionistic fuzzy sets (IFSs). Many measures of similarity between IFSs proposed before did not consider the abstention group influence, which may lead to counter-intuitive results in some cases. In this paper, first, we analyze the limitations of the existing similarity measures. Then, a new similarity measure of intuitionistic fuzzy ...

This note points out a terminological clash between Atanassov's “intuitionistic fuzzy sets” and what is currently understood as intuitionistic logic. They differ both by their motivations and their underlying mathematical structure. Furthermore, Atanassov's construct is isomorphic to interval-valued fuzzy sets and other similar notions, even if their interpretive settings and motivation are qui...

A new method for solving intuitionistic fuzzy multi-attribute decision making problem is proposed, in which the information of attribute weights is incompletely known. Considering much information about hesitancy and vagueness inherited to intuitionistic fuzzy sets, a new class of distance for describing the deviation degrees between intuitionistic fuzzy sets is introduced. Furthermore, the mea...

A conventional fuzzy cmeans (FCM) clustering algorithm did not use the spatial information of the data and is very much sensitive to noise. To improve the noise sensitivity of FCM, Spatial FCM (SFCM) incorporates the spatial information to improve the results. Intuitionistic fuzzy sets introduce hesitation factor in the fuzzy sets to enhance the performance of fuzzy sets and also added entropy ...

–In this paper, we present an application of intuitionistic fuzzy programming to two person matrix games for the solution with mixed strategies. We use linear membership and non membership functions for such computation. We introduce the intuitionistic fuzzy (IF) goal for the choice of a strategy in a pay-off matrix in order to incorporate ambiguity of human judgments and a player wants to opti...