半群的(U,V)-区间值模糊双理想  被引量:4

(U,V)-Interval-Valued Fuzzy Bi-ideals in Semigroups

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作  者:王丰效 WANG Fengxiao(College of Mathematics and Statistics, Kashi University, Kashi 844000, Xinjiang Uygur Autonomous Region, China)

机构地区:[1]喀什大学数学与统计学院,新疆喀什844000

出  处:《吉林大学学报(理学版)》2019年第3期487-492,共6页Journal of Jilin University:Science Edition

基  金:新疆维吾尔自治区自然科学基金(批准号:2018D01A02)

摘  要:在半群中引入(U,V)-区间值模糊双理想的概念,并讨论其基本性质.给出半群的(U,V)-区间值模糊双理想与模糊双理想以及区间值模糊双理想的关系,证明半群的(U,V)-区间值模糊双理想的交仍然是半群的(U,V)-区间值模糊双理想,并讨论半群的(U,V)-区间值模糊双理想直积的相关特性.The concept of ( U,V )-interval-valued fuzzy bi-ideals was introduced in semigroups, and its basic properties were discussed. The author gave the relations between ( U,V )-interval-valued fuzzy bi-ideals, fuzzy bi-ideals and interval-valued fuzzy bi-ideals of semigrous, proved that the intersection of ( U,V )-interval-valued fuzzy bi-ideals was still ( U,V )-interval-valued fuzzy bi-ideals of semigroups, and discussed the correlation properties of direct product of ( U,V )-interval-valued fuzzy bi-ideals of semigroups.

关 键 词:半群 (U V)-区间值 模糊双理想 直积 

分 类 号:O159[理学—数学]

 

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