Three New Weaker Notions of Fuzzy Open Sets and Related Covering Conceps

Kuwait Journal of Science

Samer H. Al Ghour¹ 

关键词: Fuzzy compactness;    fuzzy Lindelofness;    -topology;    Q-neighborhood;    -open sets.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

A subset A of an ordinary topological space (X,T) is ω-open Hdeib1 (resp. N-open alomari3) if for each x∈A, there exists U∈T such that x∈U and U-A is countable (resp. finite). In this work, we extend ω-open and N-open notions to include L-topological spaces, where L is an F-lattice, and we introduce a third notion of L-sets weaker than both of them. For a given L-topological space, the new notions give us three new finer L-topological spaces, which can help us to increase our understanding of this L-topological space. By means of these new notions in L-topological spaces, several types Chang's compactness, and Wong's Lindelöfness will be introduced. We make many comparisons between the new notions, and between these notions and some other related concepts. Several characterizations of the new concepts are given and two characterizations of Wong's Lindelöfness concept are given.

【 授权许可】

Unknown