Regularity in fuzzy convergence spaces

Authors:
J. Minkler;G. Minkler;G. Richardson
Affiliations:
Department of Mathematics, University of Central Florida, P.O. Box 161364, Orlando, FL;Department of Mathematics, University of Central Florida, P.O. Box 161364, Orlando, FL;Department of Mathematics, University of Central Florida, P.O. Box 161364, Orlando, FL
Venue:
Fuzzy Sets and Systems - Mathematics
Year:
2002

Citing 3
Cited 1

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Abstract and concrete categories
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Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
Convergence

Fuzzy Sets and Systems - Special issue on fuzzy topology

Fuzzy convergence: open and proper maps

Fuzzy Sets and Systems

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Abstract

The notions of regularity and weak regularity are introduced in the category of fuzzy convergence spaces, and each is shown to be an extension of regularity with respect to the embedding functor from the category of convergence spaces. Moreover, the category whose objects are weakly regular fuzzy spaces is topological and thus initial and final regular structures exist. The relationship between regularity and a diagonal condition is given.