In this paper, we introduce some properties of an intuitionistic normal fuzzy m-subgroup of m- group with m-homomorphism and isomorphism. We study the image, the pre-image and the inverse mapping of the intuitionistic normal fuzzy m-subgroups.

In this paper, we define the term " η-fuzzy subgroup" and show that every fuzzy subgroup is a η-fuzzy subgroup. We define some of the algebraic properties of the concept of η-fuzzy cosets. Furthermore, we initiate the study of the η-fuzzy normal subgroup and the quotient group with respect  to the η-fuzzy normal subgroup and demonstrate some of their various group theoretical properties.

The aim of this paper is the study of applications of a group in a general fuzzy automaton. For this purpose, we de ne the concepts of fuzzy normal kernel of a general fuzzy automaton, fuzzy kernel of a general fuzzy automaton, adjustable, multiplicative. Then we obtain the relationships between them...

In this paper, first we define the commutativity of two fuzzy subgroups, and then we computed the probability of commutatively of the group Zpn which its support is exactly Zpm for m£ n.

In this paper, we , rst study fuzzy subgroups and fuzzy multigroups of a group G and we obtain some chains of fuzzy subgroups of a fuzzy subgroup and by these sequences, we construct fuzzy multi-groups. We show that there is a relationship between a fuzzy multigroup with underlying group G and a fuzzy multigroup with underlying group Aut(A). Moreover, we generate a code by using the de, ned special fuzzy multigroup automorphisms.

We give formulas for the number of fuzzy subgroups of all small p-groups of order at most p4 as polynomials in prime p.