We formulate fuzzy characteristic right (resp. left) R-subgroups and the fuzzy same type right (resp. left) R-subgroups of a near-ring R, and give its characterization.

In this paper, we introduce the notion of (i-v) fuzzy (weakly) completely regular subsemigroup of a semigroup S and study their different properties. We show that every (i-v) fuzzy completely regular subsemigroup of a semigroup S is a union of (i-v) fuzzy subgroups of S. We also characterize (i-v) fuzzy completely regular subsemigroup by (i-v) fuzzy semilattice of (i-v) fuzzy subgroups. 2010 AM...

Given a set S, we show that there is a strict relation between the notion of similarity on S and the one of fuzzy subgroup of transformations in S . Such a relation enables us to extablish a connection between fuzzy subgroups and distances.

abstract. in this paper, we introduce the notion of fuzzy obstinate ideals in mv -algebras. some properties of fuzzy obstinate ideals are given. not only we give some characterizations of fuzzy obstinate ideals, but also bring the extension theorem of fuzzy obstinate ideal of an mv -algebra a. we investigate the relationships between fuzzy obstinate ideals and the other fuzzy ideals of an mv -a...

Fuzzy subgroups of finite groups have been treated recently using the concept of pinnedflags. In this paper, we consider the operations of intersection, sum, product, and quotient of fuzzy subgroups of finite abelian groups in general, in terms of pinned-flags. We develop algorithms to construct pinned-flags of fuzzy subgroups corresponding to these operations and prove their validity. We illus...

Abstract: In this paper, we compute number of fuzzy subgroups of some dihedral groups such as D2pn where p is a prime number and D2p1×p2×···×pn where p1, p2, ..., pn are distinct prime numbers. We use their chain diagram to determine the number of their fuzzy subgroups and present an explicit recursive formula to D2pn and at the result in specially case D2n and finally a formula to count number...

This paper defined the notion of ω , θ -complex fuzzy sets, id="M3"> subgroupoid, and id="M4"> subgroups described important examples under id="M5"> sets. Additionally, we discussed conjugacy class group with respect to id="M6"> norma...

In 1965, in his pioneer paper L.A. Zadeh [9] introduced the concept of fuzzy set to handle the uncertainties in our daily life. After that many generalizations of fuzzy sets are presented, for example, interval valued fuzzy sets [10] and intuitionistic fuzzy sets [1]. Fuzzy sets are extremely useful to solve many problems in applied mathematics, information sciences and theory of automata [2]. ...

In this paper, we treat accounting for the number of fuzzy (normal) subgroups finite groups U6n. order to do this, use natural equivalence relation on set U6n, which has a consistent group theoretical foundation. fact, corresponding classes U6n are closely connected structure lattice and chains terminate in regards, Inclusion-Exclusion principle plays an essential role some situations leads rec...