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In this paper we introduce the concepts of θ-connectedness and δ-connectedness with the help of quasi coincidence due to Pu and Liu for fuzzy sets in fuzzy bitopological setting as a weaker version of connectedness. In particular, we investigate their properties in almost regular, semi-regular and regular spaces, their invariants and preservations under mappings.
The concepts of θ-closure and δ-closure operators are introduced and studied in the light of quasi-coincidence due to Pu and Liu (1980, 1980) in a fuzzy bitopological setting. As applications of these concepts, we give characterizations of fuzzy pairwise regularity and some of its weaker forms in terms of θ-closures and δ-closures. The concept of fuzzy pairwise δ-continuity has been introduced and...
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