Generalized Topological Notions by Operators

Ismail Ibedou

doi:10.20944/preprints201805.0080.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

In this paper, it is introduced the notion of r-fuzzy β-T_i, 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.

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

Computer Science and Mathematics, Geometry and Topology

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Generalized Topological Notions by Operators

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