Covering properties connectedness and disconnectedness with reference to T open sets

Abstract

In this thesis the author introduced and studied the concepts newlineof maximal smooth fuzzy centred system the fundamental theorem on newlinesmooth fuzzy irreducible and smooth fuzzy perfect functions maximal newlinesmooth fuzzy tcentred system and maximal smooth fuzzy 13centred newlinesystem Pairwise smooth fuzzy tconnected space pairwise smooth newlinefuzzy tdisconnected spaces pairwise smooth fuzzy basically newlinetdisconnected spaces and pairwise smooth fuzzy extremally newlinetdisconnected spaces are discussed in smooth fuzzy bitopological newlinespaces Upper and lower tirresolute multifunctions smooth fuzzy newlinecontra tcontinuity rgeneralized fuzzy 13interior rgeneralized fuzzy newline13border rgeneralized fuzzy 13exterior rgeneralized fuzzy 13frontier newlinergeneralized smooth fuzzy 13continuous functions and smooth fuzzy newlinegc 3irresolute functions are discussed in smooth fuzzy topological newlinespaces The author also introduced the concept of smooth fuzzy pre newlineT12 space in smooth fuzzy topological spaces Interrelations are also newlinediscussed in some chapters Counter examples are provided wherever newlinenecessary in the thesis newline