Separation axioms in $$L$$-fuzzifying supra-topology

Abstract

In this paper, we define and investigate the notions of $$L$$-separation axioms in $$L$$-fuzzifying supra-topology. Also, some of their characterizations and a systematic discussion on the relationship among these notions is gave in $$L$$-fuzzifying supra-topology where $$L$$ is a complete residuated lattice. Sometimes we need more conditions on $$L$$ such as the completely distributive law or that the "$$\wedge$$" is distributive over arbitrary joins or the double negation law as we illustrate through this paper. As applications of our work the corresponding results (see \cite{2, 13}) are generalized and new consequences are obtained.

Article Details

How to Cite
Mousa, A. (2017). Separation axioms in $$L$$-fuzzifying supra-topology. Journal of Advanced Studies in Topology, 8(1), 67-77. https://doi.org/10.20454/jast.2017.1300
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