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Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 146162 Total View: 1801955
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
Email: jamc@hillpublisher.com
Article Open Access http://dx.doi.org/10.26855/jamc.2021.12.009

On δ-Primary Fuzzy Hyperideals of Commutative Semihyperrings

Ashraf Abumghaiseeb

Department of Mathematics, Islamic University of Gaza, P.O. Box 108, Gaza, Palestine.

*Corresponding author: Ashraf Abumghaiseeb

Published: December 3,2021

Abstract

In this paper, I give an introduction about the algebraic hyperstructure theory mainly. I study a semihyperring and a hyperideal of a semihyperring, then I study the definition of fuzzy subset of a set X as a function from X to the interval [0,1], and explain the definition of a fuzzy hyperideal of a semihyperring 𝑅 and primary fuzzy hyperideal. I discuss the 𝛿 function of the fuzzy hyperideal of commutative semihyperring. This function assign to each fuzzy hyperideal 𝜇 of the semihyperring 𝑅 to another fuzzy hyperideal δ(𝜇) of 𝑅 such that 𝜇 ≤ δ(𝜇) and we defined the δ-primary hyperideal expansion, also we discussed some properties of this expansion. I show that δ-primary fuzzy hyperideal expansion in an intersection preserving. Then I give a definition of fuzzy homomorphism function of two commutative semihyperrings. Finally, I define a global expansion δ of fuzzy hyperideal and investigate the relation between 𝜇 and f(μ) under the global expansion 𝛿.

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How to cite this paper

On δ-Primary Fuzzy Hyperideals of Commutative Semihyperrings

How to cite this paper: Ashraf Abumghaiseeb. (2021) On δ-Primary Fuzzy Hyperideals of Commutative Semihyperrings. Journal of Applied Mathematics and Computation5(4), 315-320.

DOI: http://dx.doi.org/10.26855/jamc.2021.12.009