Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring

[摘要] Some generalized forms of the hyperideals of a hyperring in the paper of Zhan et al.(2008)will be given. As a generalization of the interval valued(α,β)-fuzzy hyperideals of a hyperring withα,β∈{∈,q,∈∧q,∈∨q}andα≠∈∧q, the notion of generalized interval valued(α,β)-fuzzyhyperideals of a hyperring is also introduced. Special attention is concentrated on the interval valued(∈γ~,∈γ~∨qδ~)-fuzzy hyperideals. As a consequence, some characterizations theorems of interval valued(∈γ~,∈γ~∨qδ~)-fuzzy hyperideals will be provided.

[学科分类] 应用数学