Contributions to the study on some aspeats of fuzzy irresolute functions and invertible fuzzy toplogical spaces

Abstract

In this thesis, the author has introduced and studied newlinethe concepts of the invertible fuzzy topological spaces, newlineupper and lower a (0, semi and pre, resp.)-irresolute newlinefuzzy multifunctions, fuzzy almost (semi and pre, resp.) newlinea-irresolute functions, somewhat fuzzy pre (semi and newlinealmost, resp.) a-irresolute functions and complementary newlinefuzzy topology. Some characterizations and several newlineproperties of these concepts are also given. In the classical newlinetopology, the author has also introduced and studied the newlineconcepts of the pre a-irresolute functions and somewhat pre newlinea-irresolute functions. Examples and counter examples are newlinealso provided, wherever necessary in this thesis.