Title

Fuzzy Convergence: Open And Proper Maps

Keywords

Fuzzy convergence; Fuzzy maps; Probabilistic convergence

Abstract

The notions of open and proper maps are introduced in the category FCS of fuzzy convergence spaces and each is shown to be an extension of the same notion with respect to the embedding functor from the category PCS of probabilistic convergence spaces. Proper maps in FCS are shown to be productive and, moreover, preserve closures of fuzzy sets, regularity and local precompactness. All projection maps in FCS are open and open maps are finitely productive. © 2004 Elsevier B.V. All rights reserved.

Publication Date

6-1-2005

Publication Title

Fuzzy Sets and Systems

Volume

152

Issue

2

Number of Pages

373-384

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.fss.2004.11.007

Socpus ID

17444390053 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/17444390053

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