Preprint Article Version 1 This version is not peer-reviewed

Generalized Topological Notions by Operators

Version 1 : Received: 3 May 2018 / Approved: 3 May 2018 / Online: 3 May 2018 (13:13:28 CEST)

How to cite: Ibedou, I. Generalized Topological Notions by Operators. Preprints 2018, 2018050080 (doi: 10.20944/preprints201805.0080.v1). Ibedou, I. Generalized Topological Notions by Operators. Preprints 2018, 2018050080 (doi: 10.20944/preprints201805.0080.v1).

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.

Subject Areas

fuzzy operators; fuzzy separation axioms; fuzzy compactness; fuzzy connectedness

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