In this paper, we present the induced generalized intuitionistic fuzzy ordered weighted averaging (IGIFOWA) operator. It is a new aggregation operator that generalized the IFOWA operator, including all the characteristics of both the generalized IFOWA and the induced IFOWA operators. It provides a very general formulation that includes as special cases a wide range of aggregation operators for ...

Godel's translation of intuitionistic formulas into modal ones provides the well-known embedding of intermediate logics into extensions of Lewis' system S4, which re ects and sometimes preserves such properties as decidability, Kripke completeness, the nite model property. In this paper we establish a similar relationship between intuitionistic modal logics and classical bimodal logics. We als...

Let D be the minimum dominating set of intuitionistic fuzzy graph G. The minimum intuitionistic fuzzy cardinality of all edge dominating set of intuitionistic fuzzy graph G is known as edge domination number and it is denoted by γe(G). In this Paper, we initiate some definitions onedge dominating set concerning intuitionistic fuzzy sets. Further, we investigate some results onedge domination nu...

The aim of this study is to introduce the concept of intuitionistic fuzzy (left, right) hyperideal in intuitionistic fuzzy semihypergroup based on the concept of intuitionistic fuzzy space as a direct generalization of the concept of fuzzy ideals in fuzzy semigroups, through the new approach of fuzzy space introduced by Dib and fuzzy hypergroup introduced by Fathi. A relationship between the in...

In this paper, we propose a technique for clustering data with intuitionistic fuzzy information. We first define two new intuitionistic fuzzy similarity measures, and then use it to construct an intuitionistic fuzzy similarity measure matrix, by which we present a spectral algorithm to cluster intuitionistic fuzzy information. At last, two numerical examples are given to illustrate and verify o...

in this paper, we prove the generalized hyers--ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy banach spaces.

We introduce Polarized Intuitionistic Logic, which allows intuitionistic and classical logic to mix. The logic is based on a new analysis of the intuitionistic distinction between “left” and “right” as a form of polarity information. In contrast to double-negation translations, classical logic is transparently captured. The logic is given a Kripke-style semantics and is presented as a sequent c...

In this paper we define intuitionistic fuzzy quasi-ideals of ordered semigroups. The main result of the paper is a characterization of quasi-ideals in terms of intuitionistic fuzzy quasi-ideals. We also characterize left simple, right simple, and completely regular ordered semigroups in terms of intuitionistic fuzzy quasi-ideals. We study the decomposition of left and right simple ordered semig...

In this paper we consider some properties of intuitionistic fuzzy preference relations. We pay attention to preservation of intuitionistic fuzzy preference relations by aggregation operations. In particular, we know, that a special kind of aggregation operations (lattice operations) do not preserve intuitionistic fuzzy preference relations. We describe the operations which preserve intuitionist...

We introduce the notion of intuitionistic fuzzy (left) h-ideals of hemirings and investigate their properties connected with the corresponding level subsets. Methods of constructions of such intuitionistic fuzzy ideals from given sequences of left h-ideals of a hemiring R are presented. Some natural classification of such intuitionistic fuzzy h-ideals is given. Key–Words: Hemiring, fuzzy set, i...