Article
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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. https://doi.org/10.20944/preprints201805.0080.v1 Ibedou, I. Generalized Topological Notions by Operators. Preprints 2018, 2018050080. https://doi.org/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.
Keywords
fuzzy operators; fuzzy separation axioms; fuzzy compactness; fuzzy connectedness
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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