Elsevier

Fuzzy Sets and Systems

Volume 104, Issue 3, 16 June 1999, Pages 397-405
Fuzzy Sets and Systems

Closure operators and fuzzy connectedness

https://doi.org/10.1016/S0165-0114(98)00315-7Get rights and content

Abstract

A general notion of connectedness with respect to a closure operator on an arbitrary category X is used to produce some connectedness notions in the category of fuzzy topological spaces. All these notions turn out to be connectednesses in the sense of Preuβ. Some already existing notions of connectedness in the category of fuzzy topological spaces are obtained as special cases of ours.

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  • Cited by (1)

    • Fuzzy Topological Spaces

      2003, Encyclopedia of General Topology
    1

    The first author acknowledges support from the Foundation for Research Development, Pretoria.

    2

    The second author acknowledges support from the Research Office of the Faculty of Arts and Sciences of the University of Puerto Rico — Mayagüez campus.

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