Abstract

The aim of this paper is to introduce some new classes of fuzzy sets and some new classes of fuzzy continuity namely fuzzy e ∗ -open sets, fuzzy (D, S)-sets, fuzzy (DS, ε)-sets, fuzzy (D, S)∗ -sets, fuzzy (DS, ε) ∗ -sets, fuzzy e-continuity, fuzzy (D, S)∗ - continuity and fuzzy (DS, ∈)∗ -continuity. Properties of these new concepts are investigated. Moreover, some new decompositions of fuzzy continuity are provided.

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