ideal theory in  -semihyperrings

)-Fuzzy Hyperideals in Semihyperrings

1 Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320 Pakistan 2 The Foundation Department Sur University College P.O. Box 440 P.C 411, Sur, Muscat, Sultanate of Oman Abstract: The concept of quasi-coincidence of fuzzy point with a fuzzy subset has considered. By using this idea, the notion of (, )-fuzzy hyperideal in a semihyperring introduced and consequently, a generalizat...

FUZZY HYPERIDEALS IN TERNARY SEMIHYPERRINGS

In a ternary semihyperring, addition is a hyperoperation and multiplicationis a ternary operation. Indeed, the notion of ternary semihyperringsis a generalization of semirings. Our main purpose of this paper is to introducethe notions of fuzzy hyperideal and fuzzy bi-hyperideal in ternary semihyperrings.We give some characterizations of fuzzy hyperideals and investigateseveral kinds of them.

Multiplicative Ideal Theory

Neutrosophic Hyperideals of Γ-semihyperrings

The purpose of this paper is to introduced neutrosophic hyperideals of a Γ-semihyperring and consider some operations on them to investigate some of its basic properties.

“ Ideal Theory ” as Ideology

individual subsume the workers, women, and nonwhites who are also persons—even if, admittedly, they were not historically recognized as such? I think the problem here is a failure to appreciate the nature and magnitude of the obstacles to the cognitive rethinking required, and the mistaken move— especially easy for analytic philosophers, used to the effortless manipulation of variables, the shi...

An Algebra of Fuzzy (m, n)-Semihyperrings

We propose a new class of algebraic structure named as (m, n)-semihyperring which is a generalization of usual semihyperring. We define the basic properties of (m, n)-semihyperring like identity elements, weak distributive (m, n)semihyperring, zero sum free, additively idempotent, hyperideals, homomorphism, inclusion homomorphism, congruence relation, quotient (m, n)-semihyperring etc. We propo...