Generalized Sets and Maps in Sostak's Fuzzy Topological Spaces

This book is a step forward to strengthen the theoretical foundations of fuzzy generalized e-closed sets and maps, fuzzy almost generalized e-continuous maps, fuzzy upper and lower e-limit sets, mixed e-fuzzy topological spaces, fuzzy maximal regular semi-open sets and maps, fuzzy almost e-continuous maps and fuzzy e-compactness, fuzzy e-irresolute mappings and fuzzy e-connectedness in topological and smooth topological spaces.These results will help to extend the some generalized continuous mappings, compactness and hence it will help to improve Smooth topological and Bi-topological spaces.The fuzzy topology theory has rapidly begin to play an important role in many different scientific areas such as Economics, Quantum Physics and GIS(geographic information system).

Autorentext

Dr. B. Vijayalakshmi, Assistant Professor, Department of Mathematics, Annamalai University, Tamilnadu, India. She has 15 years of Teaching experience and Nine years of Research experience in the field of Fuzzy Topology. She was awarded B.Sc, M.Sc, M.Phil (Gold Medal) from Pondicherry University and Ph.D Mathematics(2019) from Annamalai University.