半群的(λ,μ)-双极值模糊子半群  

(λ,μ)-Bipolar Valued Fuzzy Subsemigroups in Semigroups

作　　者：王丰效 Wang Fengxiao(College of Mathematics and Statistics, Kashi University, Kashi 844000, China)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844000

出　　处：《宁夏大学学报（自然科学版）》2020年第1期23-26,32,共5页Journal of Ningxia 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：半群的模糊子半群理论是半群模糊理论的一个重要研究领域.将双极值模糊集的概念应用于半群,引入了半群的带限度(λ,μ)-双极值模糊子半群的概念.讨论了半群的(λ,μ)-双极值模糊子半群的基本性质.给出了半群的(λ,μ)-双极值模糊子半群与模糊子半群以及子半群的关系.证明了半群的(λ,μ)-双极值模糊子半群的交仍然是半群的(λ,μ)-双极值模糊子半群.最后,讨论了半群的(λ,μ)-双极值模糊子半群在同态变换下像与原像的相关性质.Fuzzy subsemigroup theory of semigroups is an important research field of semigroup fuzzy theory.The concept of bipolar valued fuzzy sets is applied to semigroups,and the concept of bipolar valued fuzzy subsemigroups with thresholds(λ,μ)of semigroups is introduced.The basic properties of(λ,μ)bipolar valued fuzzy subsemigroups of semigroups are discussed.The relationship between(λ,μ)-bipolar valued fuzzy subsemigroups and bipolar valued fuzzy subsemigroups are given.It is proved that the intersection of(λ,μ)-bipolar valued fuzzy subsemigroups of semigroups are still(λ,μ)-bipolar valued fuzzy subsemigroups of semigroups.The properties of the homomorphism image and pre image of the(λ,μ)-bipolar valued fuzzy subsemigroup in semigroups are investigated.

关 键 词：半群 双极值模糊集 子半群 交集 

分 类 号：O159[理学—数学]