We characterize some properties of t-fuzzy groups and t-fuzzy invariant groups and represent every subgroup S of a group X using the level set of t-fuzzy group constructed from S.

Abstract An E -fuzzy group is a lattice-valued algebraic structure, defined on a crisp algebra which is not necessarily a group. The crisp equality is replaced by a particular fuzzy one denoted by E . Classical group-like properties are formulated as appropriate fuzzy identities special lattice theoretic formulas. We prove basic features of E -fuzzy groups: properties of the unit and inverses, ...

Following the introduction of fuzzy sets in 1965, a notion of fuzzy topological group was proposed by Foster in 1979: essentially he took a group and furnished it with a fuzzy topological structure. An equivalent notion of fuzzy topological group was introduced by Ma and Yu in 1984 by replacing points by fuzzy points. Recently two of the coauthors have introduced the notion of the topology indu...

In this paper, we introduce the concept of intuitionistic M -fuzzy groups and obtain some results.

The purpose of this paper is to define the fuzzy quotient group by using some special fuzzy relation which is defined in this study and to prove some basic properties. c ©2003 Yang’s Scientific Research Institute, LLC. All rights reserved.

The aim of this paper is to introduce the structure of the called “intuitionsitic fuzzy metric group” and after giving fundamental definitions, to study some properties of intuitionistic fuzzy metric group.