格蕴涵代数的Ω-犹豫模糊子代数  

Ω-hesitant fuzzy subalgebra of lattice implication algebras

作　　者：姜曼[1] 卢金梅 JIANG Man;LU Jinmei(Public Course Department of Xi’an Traffic Engineering College,Xi’an 710300,China;College of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450000,China)

机构地区：[1]西安交通工程学院公共课部,陕西西安710300 [2]郑州轻工业大学数学与信息科学学院,河南郑州450000

出　　处：《湖北大学学报（自然科学版）》2022年第5期540-546,共7页Journal of Hubei University：Natural Science

基　　金：陕西省自然科学基础研究计划(2021-JQ893);陕西省自然科学基础研究计划(2022JM-053);西安交通工程学院中青年基金(2022KY-19)资助

摘　　要：在集合Ω中,用犹豫模糊集、Ω-模糊集来研究格蕴涵代数,定义格蕴涵代数中的Ω-犹豫模糊子代数,并讨论其性质;在格蕴涵代数中,给出Ω-犹豫模糊子代数的若干等价刻画,并讨论Ω-犹豫模糊子代数与其子代数之间的相互关系;研究了Ω-犹豫模糊子代数在交、并等运算下的性质;最后研究格蕴涵代数的Ω-犹豫模糊子代数的同态像与直积.Let Ω be a set. By combining hesitant fuzzy sets, Ω-fuzzy sets and lattice implication algebras, we introduced the concepts of Ω-hesitant fuzzy subalgebra in the lattice implication algebras and investigated some related properties, and we obtained some equivalent descriptions of the Ω-hesitant fuzzy subalgebra in the lattice implication algebra, and gave the relations between Ω-hesitant fuzzy subalgebra and the subalgebra in the lattice implication algebra. Then we studied some basic properties of the Ω-hesitant fuzzy subalgebra under the intersection and union. Finally, we disscussed some basic properties of homomorphic images and direct product in the lattice implication algebra.

关 键 词：格蕴涵代数 Ω-犹豫模糊子代数 同态 直积 

分 类 号：O159[理学—数学]