半群的多极区间值模糊子半群  

Multipolar interval-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：《安徽大学学报（自然科学版）》2023年第1期1-7,共7页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11671217);新疆维吾尔自治区自然科学基金资助项目(2018D01A02)。

摘　　要：模糊子半群是半群模糊理论的一个重要研究领域.引入半群的多极区间值模糊子半群的概念,讨论半群的多极区间值模糊子半群的基本性质,给出半群的多极区间值模糊子半群与区间值模糊子半群以及模糊子半群的关系,证明半群的多极区间值模糊子半群的交集和直积仍然是多极区间值模糊子半群.最后,讨论半群的多极区间值模糊子半群在同态变换下像与原像的相关性质.Fuzzy subsemigroup theory is an important research field of semigroup fuzzy theory.The concept of multipolar interval-valued fuzzy sets was applied to semigroups,and the concept of multipolar interval-valued fuzzy subsemigroups of semigroups was introduced.The basic properties of multipolar interval-valued fuzzy subsemigroups of semigroups were discussed.The relationship between multipolar interval-valued fuzzy subsemigroups and interval-valued fuzzy subsemigroups were given.It was proved that the intersection of multipolar interval-valued fuzzy subsemigroups of semigroups were still multipolar interval-valued fuzzy subsemigroups of semigroups.The properties of the homomorphism image and preimage of the multipolar interval-valued fuzzy subsemigroup in semigroups were investigated.

关 键 词：半群 多极区间值模糊集 子半群 交集 

分 类 号：O159[理学—数学]