ON RARELY FUZZY e-CONTINUOUS FUNCTIONS IN THE SENSE OF SOSTAK'S

ON RARELY FUZZY e-CONTINUOUS FUNCTIONS IN THE SENSE OF SOSTAK'S

E. Elavarasan, A. Vadivel

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Abstract

In this paper, we introduce the concepts of rarely fuzzy e-continuous functions in the sense of   Sostak's is introduced. Some interesting properties and characterizations of rarely fuzzy e-continuous and weakly fuzzy e-continuous are investigated. Also, fuzzy eT1=2-space, rarely fuzzy eT2-spaces and some applications to fuzzy compact spaces are established.

Keywords

Rarely fuzzy e-continuous, fuzzy e-compact space, rarely fuzzy e-almost compact space, fuzzy eT1=2-space, and rarely fe-T2-spaces.