On fuzzy weakly-closed sets
J. Mahanta, P. K. Das
TL;DR
This paper introduces fuzzy weakly closed sets in fuzzy topological spaces, positioning them between fuzzy closed and fuzzy generalized closed sets, and explores their properties along with related compactness and closedness concepts.
Contribution
It defines and characterizes fuzzy weakly closed sets and fuzzy weakly compact spaces, expanding the understanding of fuzzy closed set hierarchies.
Findings
Fuzzy weakly closed sets lie between fuzzy closed and fuzzy generalized closed sets.
Fundamental properties of fuzzy weakly closed sets are established.
Fuzzy weakly compact and closed spaces are characterized.
Abstract
A new class of fuzzy closed sets, namely fuzzy weakly closed set in a fuzzy topological space is introduced and it is established that this class of fuzzy closed sets lies between fuzzy closed sets and fuzzy generalized closed sets. Alongwith the study of fundamental results of such closed sets, we define and characterize fuzzy weakly compact space and fuzzy weakly closed space.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Rough Sets and Fuzzy Logic · Advanced Algebra and Logic