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超半环的广义直觉模糊理想刻画

Semihyperrings Characterized in Terms of Their Intuitionistic Fuzzy Hyperideals with Thresholds
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摘要 对超半环上的直觉模糊子集进行讨论.首先在超半环上给出有边界值的直觉模糊超理想,对其部分性质进行研究.其次给出正则超半环和内禀正则超半环的概念,利用有边界值的直觉模糊超理想对这两种超半环进行刻画,得到若干刻画定理. The main goal of this paper is to investigate intuitionistic fuzzy subsets of semihyperrings. Intuitionistic fuzzy hyperideals with thresholds of a semihyperring are defined and studied, then, the concept of regular semihyperring and intra-regular semihyperring are given and characterized by their generalized intuitionistic fuzzy hyperideals. As a result,some characteristic theorems are obtained.
作者 曹学光
出处 《数学的实践与认识》 北大核心 2017年第24期233-240,共8页 Mathematics in Practice and Theory
关键词 超半环 边界值 直觉模糊超左(右)理想 正则超半环 内禀正则超半环 semihyperring threshold intuitionistic fuzzy hyperideal regular semihyper-ring intra-regular semihyperring
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