intuitionistic q fuzzy HX group

In this paper, we define the concept of pseudo fuzzy cosets of a fuzzy HX subgroup of a HX group and pseudo fuzzy cosets of an anti fuzzy HX subgroup of a HX group with suitable examples. Also We discussed some of their properties.

In this paper, we define a new algebraic structure of an anti Q-fuzzy normal HX group and lower level subset of an anti Q-fuzzy normal HX group and discussed some of its properties. We also define anti Q-fuzzy normalizer and establish the relation with anti Q-fuzzy normal HX group. Characterizations of lower level subsets of an anti Q-fuzzy HX subgroup of a HX group are given.

In this paper, we redefine the definition of a fuzzy HX group and define a new algebraic structure of Q-fuzzy HX group and anti Q-fuzzy HX subgroup and some related properties are ivestigated. We establish the relation between Q-fuzzy HX group and anti Q-fuzzy HX group of a HX group . The purpose of this study is to implement the fuzzy set theory and group theory in anti Q-fuzzy HX subgroups.

In the theory of rings and modules there is a correspondence between certain ideals of a ring R and submodules of an R-module that arise from annihilation. The submodules obtained using annihilation, which correspond to prime ideals play an important role in decomposition theory. In this paper, we attempt to intuitionistic fuzzify the concept of annihilators of subsets of modules. We investigate certain characterization of intuitionistic fuzzy annihilators of subsets of modules. Using the concept of intuitionistic fuzzy annihilators, intuitionistic fuzzy prime submodules and intuitionistic fuzzy annihilator ideals are defined and various related properties are established. KEYWORDS Intuitionistic fuzzy submodule, intuitionistic fuzzy prime submodule, intuitionistic fuzzy ideal, intuitionistic fuzzy annihilator, semiprime ring.

The concept of intuitionistic fuzzy subset was introduced by K.T.Atanassov and the notion of intuitionistic fuzzy ideals of BG-algebra was developed by A.Zarandi and A.Borumand Saeid in 2005. In this paper, for a set Q, the notion of intuitionistic Q-fuzzy ideals of BG-algebra is introduce and investigate some of their basic properties.

The notion of intuitionistic fuzzy set was introduced by K.T. Atanassov as a generalization of the notion of fuzzy set. Intuitionistic fuzzy topological spaces were introduced by D. Coker and studied by many eminent authors like F. Gallego Lupianez, K. Hur, J. H. Kim and J. H. Ryou. R. Biswas applied the notion of intuitionistic fuzzy set to algebra and introduced intuitionistic fuzzy subgroup of a group. In this paper, we will study intuitionistic fuzzy topology by involving the algebraic structure on it and introduce the notion of group intuitionistic fuzzy topological spaces. We will examine many properties of these spaces and obtain several results

The concept of a Bipolar intuitionistic M fuzzy group is a new algebraic structure of a bipolar intuitionistic M fuzzy subgroup of a M fuzzy group and anti M fuzzy group are defined and some related properties are investigated. The purpose of the study is to implement the fuzzy set theory and group theory of bipolar intuitionistic M fuzzy subgroup of a M fuzzy group and anti M fuzzy group. The relation between of a bipolar intuitionistic M fuzzy group and bipolar intuitionistic anti M fuzzy group are established. Keywords: M fuzzy group, anti M fuzzy group, bipolar intuitionistic fuzzy set, bipolar intuitionistic M fuzzy group, bipolar intuitionistic anti M fuzzy group.