Generalized Topological Notions by Operators

Abstract

In this paper, it is introduced the notion of r-fuzzy β-Ti , i = 0, 1, 2 separation axioms related to a fuzzy operator β on the initial set X which is a generalization of previous fuzzy separation axioms. An r-fuzzy α-connectedness related to a fuzzy operator α on the set X is introduced which is a generalization of many types of r-fuzzy connectedness. An r-fuzzy α-compactness related to a fuzzy operator α on the set X is introduced which is a generalization of many types of fuzzy compactness. 

Keywords

• Fuzzy operators,fuzzy separation axioms,fuzzy compactness,fuzzy connectedness

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