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    FUZZY MEAN Α-OPEN AND FUZZY MEAN Α-CLOSED SETS (2020)
    M. Sankari
    JCR. 2020: 2706-2709

    Abstract

    After the introduction of fuzzy sets by the Zadeh[11], the concept of fuzzy topology introduced by Chang[4] in 1968.The notions of minimal open[6] and maximal open[5] sets explored by Nakaoka and Oda. Further the idea of paraopen sets was studied by Ittanagi and Benchalli[?]. Consequent of this, the concepts of mean open set and mean closed set investigated by Ajoy Mukherjee and Kallol Bhandhu Bagchiin[1]. The idea of fuzzy minimal open, fuzzy minimal clopen and fuzzy mean open sets studied in [[8, 9, 10]]. The idea of fuzzy minimal and fuzzy maximal α-open sets studied by Sankari in [7]. In this paper we introduce fuzzy mean α-open and fuzzy mean α-closed sets and investigate various properties of the fuzzy mean α-open sets.

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