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...