FUZZY MAXIMAL AND MINIMAL CLOPEN SETS

A. Swaminathan and S. Sivaraja

  DOI:  https://doi.org/10.37418/amsj.9.11.61

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The aim of the paper is to introduce the notions of fuzzy maximal and fuzzy minimal clopen sets in fuzzy topological spaces. The notions of fuzzy maximal and fuzzy minimal clopen sets are respectively independent to the notions of fuzzy maximal and fuzzy minimal open (resp. closed) sets. Further, fuzzy maximal clopen and fuzzy minimal clopen sets are discussed using fuzzy disconnectedness. 

Keywords: Fuzzy maximal open set, fuzzy minimal open set, fuzzy maximal closed set, fuzzy minimal closed set, fuzzy disconnected.