半群的带限度（λ，μ）-双极值模糊双理想  

Bipolar valued fuzzy bi-ideals with thresholds（λ,μ）in semigroups

作　　者：王丰效 WANG Fengxiao(College of Mathematics and Statistics,Kashgar University,Kashgar 844000,Xinjiang,China)

机构地区：[1]喀什大学数学与统计学院

出　　处：《天津师范大学学报（自然科学版）》2019年第6期12-16,共5页Journal of Tianjin Normal University：Natural Science Edition

基　　金：新疆维吾尔自治区自然科学基金资助项目（2018D01A02）

摘　　要：将双极值模糊集应用于半群,引入了半群的带限度(λ,μ)-双极值模糊双理想和(λ,μ)-双极值模糊广义双理想的概念,讨论了半群的(λ,μ)-双极值模糊(广义)双理想的基本性质.分别给出了半群的(λ,μ)-双极值模糊双理想与模糊双理想及半群的双理想的关系.证明了半群的(λ,μ)-双极值模糊(广义)双理想的交和直积仍是半群的(λ,μ)-双极值模糊(广义)双理想.The concept of bipolar valued fuzzy set is applied to semigroups,and the concepts of bipolar valued fuzzy bi-ideals with thresholds(λ,μ)and bipolar valued fuzzy generalized bi-ideals with thresholds(λ,μ)of semigroups are introduced.The basic properties of(λ,μ)-bipolar valued fuzzy(generalized)bi-ideals of semigroups are discussed. The relations between(λ,μ)-bipolar valued fuzzy bi-ideals of semigroups and fuzzy bi-ideals and bi-ideals of semigroups are given. It is proved that the intersection and direct product of(λ,μ)-bipolar valued fuzzy(generalized)bi-ideals of semigroups are still(λ,μ)-bipolar valued fuzzy(generalized)bi-ideals.

关 键 词：半群 双极值模糊集 双理想 直积 

分 类 号：O159[理学—数学]