Fuzzy Irresolute Multifunctions: And Its Fuzzy Functions And Invertible Fuzzy Topological Spaces

Functions (Maps) have always been of tremendous importance in all branches of mathematics and the whole science. The author has introduced and studied the concepts of the invertible fuzzy topological spaces. He has also established new concepts of upper and lower alpha (beta, semi and pre)-irresolute fuzzy multifunction’s, fuzzy almost (semi and pre) alpha-irresolute functions and somewhat fuzzy pre (semi and almost) alpha-irresolute functions. Some characterizations and several properties of these concepts are also given. Examples and counter examples are also provided, wherever necessary in this book. These are some generalized fuzzy continuity may have possible application in quantum physics, high energy physics and superstring theory.