Abstract
The aim of this paper is to introduce the concepts of fuzzy faintly continuous functions. These functions have been characterized and investigated mainly in the light of the notions of quasi-concidence, q-neighbourhoods, fuzzy θ-interior and fuzzy θ-closure. It is seen that fuzzy continuity implies fuzzy faintly continuity, but not conversely. The converse is also true if the co-domain of the function is a fuzzy regular space. Finally a comparative study regarding the mutual interrelations among the fuzzy R -map, fuzzy completely continuous, fuzzy almost continuous and fuzzy continuous functions along with fuzzy faintly continuous functions is made.
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