Volume 18, No. 2, 2021
Fuzzy Maximal, Minimal Α-Open And Α-Closed Sets
M. Sankari
Abstract
In this article we find few conditions for fuzzy α -disconnectedness using fuzzy maximal and fuzzy minimal α -open sets. We obtain some identical results by fuzzy minimal and maximal α -closed sets in connection with how these related with others. It is shown that if a fuzzy space has a set which is fuzzy minimal and fuzzy maximal, then either this fuzzy set is the only nontrivial fuzzy α -open set in the fuzzy space or the fuzzy space is fuzzy α -disconnected.
Pages: 3144-3149
Keywords: After the introduction of fuzzy sets by the Zadeh[5], the concept of fuzzy topology introduced by Chang[3] in 1968. The notion of fuzzy minimal open[4] set explored by Swaminathan and Sivaraja.