A study on Fuzzy Hyperconnectedness

The study of hyperconnectedness is recognized as one of the important tools in the domain of topology since its inception. This book is an amalgamation of a compact study of hyperconnectedness in the environment of fuzzy topological spaces. Fuzzy ¿*-open set is not an extension of fuzzy open set in a fuzzy topological space as well as in fuzzy bitopological space. Hyperconnected space has its own significance, which includes that every fuzzy hyperconnected space is a fuzzy connected space. The role of fuzzy ¿*-open set is studied in this environment and shown that both fuzzy hyperconnected space and fuzzy ¿*-hyperconnected space are completely independent concepts. Preservations and applications of fuzzy hyperconnectedness are also simultaneously studied for the better understanding of these notions. Appropriate references are given to guide the researchers for the further scope.