In this paper, the definition of ?-interval valued fuzzy subgroup is introduced by help set which constructed on whose elements are closed sub-intervals including ? unit interval I = [0, 1]. The fundamental and structural properties these groups examined. Some definitions, propositions examples about given.

In this note we give explicit formulas for the number of distinct fuzzy subgroups of finite p-groups having a cyclic maximal subgroup. MSC (2010): Primary 20N25, 03E72; Secondary 05E15, 20D30, 20D60.

Given a set S, we deene Galois connections between the lattice of fuzzy subgroups of transformations in S, the lattice of the similarities in S and the lattice of the distances in S.

In this paper, we introduce the notion of Q-fuzzification of M-subgroups in a near-ring and investigate some related properties. Characterization of Anti Q-fuzzy Msubgroups with respect to s-norm is given.

The purpose of this note is to give an example to counter the result of [5] and to find the cardinality of the image of a fuzzy symmetric subgroups of S4, S5 and Sn. Mathematics Subject Classification: 03G10, 20B30, 20B35

First, we prove that the set of intuitionistic fuzzy congruences on a semigroup satisfying the particular condition is a modular lattice [Theorem 2.9]. Secondly, we prove that the set of all intuitionistic fuzzy congruences on a regular semigroup contained in (χH, χHc) forms a modular lattice [Proposition 3.5]. And also we show that the set of all intuitionistic fuzzy idempotent separating cong...

As an abstraction of the geometric notion of translation, author in [8] has introduced two operators T+ and Tcalled the fuzzy translation operators on the fuzzy set and studied their properties and also investigated the action of these operators on the (Anti) fuzzy subgroups of a group in [8] and (Anti) fuzzy subring and ideal of a ring in [9]. The notion of anti fuzzy submodule of a module h...

Genetic fuzzy rule selection has been successfully used to design accurate and compact fuzzy rulebased classifiers. It is, however, very difficult to handle large data sets due to the increase in computational costs. This paper proposes a simple but effective idea to improve the scalability of genetic fuzzy rule selection to large data sets. Our idea is based on its parallel distributed impleme...