Generalized Topological Notions by Operators

Year 2018, Issue: 25, 16 - 28, 06.10.2018

İsmail Ibedou

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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