Fuzzy Systems and its Applications

Fuzzy Systems and its Applications

Graded fuzzy absorbing hyperideals in multiplicative hyperrings

Document Type : Original Article

Authors
Department of Mathematics, Payame Noor University, P.O.BOX 19395-3697 Tehran, Iran
Abstract
In this paper, we introduce and study the different concepts of graded fuzzy absorbing hyperideals in a commutative multiplicative hyperring such as graded fuzzy 2-absorbing hyperideals, graded fuzzy strongly 2-absorbing hyperideals, graded fuzzy weakly completely 2-absorbing hyperideals and graded fuzzy $k$-2-absorbing hyperideals. we obtain some basic properties and new results of this case of structures. Also, we present the telative between graded fuzzy multiplicative hyperrings and graded multiplicative hyperrings by level sets and state the quotient set of a graded commutative multiplicative hyperring over fuzzy hyperideal with conditions is a graded multiplicative hyperring.
Keywords
Subjects

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Volume 6, Issue 1 - Serial Number 12
Open Access Statement
June 2023
Pages 49-82

  • Receive Date 21 October 2022
  • Revise Date 19 March 2023
  • Accept Date 26 April 2023