Special properties, closures and interiors of crisp and fuzzy relations
type: Item
instance of: scholarly article
title: Special properties, closures and interiors of crisp and fuzzy relations
zbMATH Open document ID: 0664.04001
DOI: 10.1016/0165-0114(88)90126-1
author: Wyllis Bandler
author: Ladislav J. Kohout
published in: Fuzzy Sets and Systems
publication date: 1988-01-01T00:00:00Z
review text: This paper offers optimal definitions of the special properties which relations on a set may possess, and which combine to define the classically important types of preorders, both kinds of orders, tolerances and equivalences. The useful concept of local properties is introduced. The concepts of closure and interior of a relation with respect to a property are defined. Finally, fast algorithms are given for the computer calculation of the more troublesome closures, and a standardized procedure for the analysis of local orders is presented.
Mathematics Subject Classification ID: 03E20
Mathematics Subject Classification ID: 03-04
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4085646
zbMATH Keywords: similarity
zbMATH Keywords: relations
zbMATH Keywords: preorders
zbMATH Keywords: tolerances
zbMATH Keywords: equivalences
zbMATH Keywords: local properties
zbMATH Keywords: closure
zbMATH Keywords: interior
zbMATH Keywords: fast algorithms
zbMATH Keywords: local orders
MaRDI profile type: Publication
full work available at URL: 0165-0114(88)90126-1
OpenAlex ID: W1978933272
cites work: Fuzzy power sets and fuzzy implication operators
cites work: Q3265688
cites work: Q4096943
cites work: Q5582292
cites work: Similarity relations and fuzzy orderings
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description: scientific article; zbMATH DE number 4085646