In this paper, we introduce the concept of fuzzy congruences on n-ary semigroups and describe quotient n-ary semigroups by fuzzy congruences. Some isomorphism theorems about n-ary semigroups are established. Moreover, we discuss a special kind of n-ary semigroups. We also establish relationships between normal fuzzy ideals and fuzzy congruences. In particular, we prove that there exists a prese...

Abstract In this paper, we have introduced anti fuzzy quasi-ideals, anti fuzzy bi-(generalized bi-) ideals and anti fuzzy left (right, two-sided) ideals in LA-semigroup. Further we have characterized an intra-regular LA-semigroup by the properties of their anti fuzzy left (right, two-sided) ideals, anti fuzzy bi(generalized bi-)ideals, anti fuzzy interior ideals and anti fuzzy quasi-ideals. Fur...

In this paper we have studied the concept of Anti fuzzy ideals in Left Almost Semigroups (LA-semigroup in short). The equivalent statement for an LA-semigroup to be a commutative semigroup is proved. The set of all anti fuzzy left ideals, which are idempotents, forms a commutative monoid. Moreover it has been shown that the union of any family of Anti fuzzy left ideals of an LA-semigroup is an ...

Today is a world of uncertainty with its associated problems, which can be well handled by soft set theory. In this paper, we extend sanchez`s approach for medical diagnosis using the representation of an interval valued fuzzy soft matrices. we introduce the definition of union and intersection of Interval valued fuzzy soft matrices with examples.Finally, we extend our approach in application o...

According to the characteristics of the ac motor starting process, design a fuzzy soft start controller, realize constant current of ac motor soft start control. Using fuzzy soft start controller uses the two-dimensional structure, current deviation and deviation change rate as input, Mining Mamdani inference method of fuzzy reasoning. The controller output to the adjustment of the thyristor tr...

Topology is an important and major area of mathematics and it can give many relationships between other scientific areas and mathematical models.The aim of this paper is to construct intuitionistic fuzzy soft multi topological space and it is shown that an intuitionistic fuzzy soft multi topological space gives a family of parameterized topological spaces and some basic properties regarding wit...

Abstract This paper has represented a soft-set in the type-2 environment by its simplest form as an augmentation to theories. Furthermore, we have applied fuzzy soft set(T2FSS) using our most straightforward representation find solution of decision-making-problem (DMP) based-on T2FSS well weighted set (WT2FSS). We proposed two definitions, namely, Mid- $$\alpha $$ <mml:math xmlns:mml="http://ww...

The fundamental concept of a fuzzy set, introduced by Zadeh in his classic paper [5] of 1965, has been applied by many authors to generalize some of the basic notions of algebra. In this note we characterize the semigroups for which each fuzzy ideal is prime, also the semigroups for which each fuzzy right ideal is prime. In Section 2, we prove that a semigroup is fully fuzzy prime if and only i...

The purpose of this study is to introduce fuzzy soft semiregularization space induced by a fuzzy soft topological space. We also investigate some properties of fuzzy soft semiregularization spaces. 2010 AMS Classification: 06D72, 54A05, 54A40, 54D70