The main purpose of this paper is to study fundamental properties weak Γ -hyperfilters on ordered id="M4"><mi -semihypergroups. F...

In this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. We characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.

Hyperstructure theory was born in 1934 when Marty [9] defined hypergroups, began to analyze their properties and applied them to groups, rational algebraic functions. Now they are widely studied from theoretical point of view and for their applications to many subjects of pure and applied properties. In 1986, Sen and Saha [12] introduced the concept of Γsemigroup as a generalization of semigrou...

in this paper using strongly duplexes we introduce a new class of (semi)hypergroups. the associated (semi)hypergroup from a strongly duplex is called duplex (semi)hypergroup. two computer programs written in matlab show that the two groups $z_{2n}$ and $z_{n}times z_{2}$ produce a strongly duplex and its associated hypergroup is a complementary feasible hypergroup.

This paper deals with a class of hyperstructures called ordered n-ary semihypergroups which are studied by means j-hyperideals for all positive integers 1≤j≤n and n≥3. We first introduce the notion (softly) left regularity, right intra-regularity, complete generalized regularity investigate their related properties. Several characterizations them in terms provided. Finally, relationships betwee...

An multi-polar fuzzy set is a robust mathematical model to examine multipolar, multiattribute, and multi-index data. The sets was created as useful mechanism portray uncertainty in multiattribute decision making. In this article, we consider the theoretical applications of sets. We present notion ordered semihypergroups define hyperideals (bi-hyperideals, quasi hyperideals) an semihypergroup. R...