格蕴涵代数的Ω-犹豫模糊LI-理想  

Ω-Hesitant Fuzzy LI-ideals of Lattice Implication Algebras

作　　者：姜曼[1] 黄军峰 JIANG Man;HUANG Jun-feng(School of Public Courses,Xi′an Traffic Engineering Institute,Xi′an 710300,China)

机构地区：[1]西安交通工程学院数学教研室,陕西西安710300

出　　处：《云南师范大学学报（自然科学版）》2022年第2期23-28,共6页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：陕西省自然科学基础研究计划资助项目(2021JQ-893).

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,定义了格蕴涵代数中的Ω-犹豫模糊LI-理想,讨论其性质及若干等价刻画;研究了Ω-犹豫模糊LI-理想与其LI-理想之间的关系;讨论了格蕴涵代数的Ω-犹豫模糊LI-理想的同态像与同态原像的性质.LetΩbe a set,by combining the hesitant fuzzy sets,Ω-fuzzy sets and lattice implication algebras,the concept ofΩ-hesitant fuzzy LI-ideals is proposed,and some related properties are investigated.The relationship betweenΩ-hesitant fuzzy LI-ideals and the LI-ideals in the lattice implication algebra is also discussed,and some basic properties of homomorphic image and homomorphic preimage ofΩ-hesitant fuzzy LI-ideals are also discussed.

关 键 词：格蕴涵代数 Ω-模糊集 Ω-犹豫模糊LI-理想 同态 

分 类 号：O159[理学—数学]