Reduction of fuzzy strict order relations

Fuzzy strict order relations and the notion of their reduction are defined. A necessary and sufficient condition is obtained for the transitive closure of the reduction to coincide with the strict order itself. Some possible graph-theoretic significances of these results are discussed in the conclus...

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Veröffentlicht in:	Fuzzy sets and systems 1985-01, Vol.15 (1), p.33-44
Hauptverfasser:	Chakraborty, M.K., Das, Mili
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Chain Computer science control theory systems Consecutive pair Control theory. Systems Exact sciences and technology Fuzzy relations Fuzzy strict order Length of a chain Reduction of a strict order System theory Transitive closure Weakest link of a chain
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Beschreibung
Zusammenfassung:	Fuzzy strict order relations and the notion of their reduction are defined. A necessary and sufficient condition is obtained for the transitive closure of the reduction to coincide with the strict order itself. Some possible graph-theoretic significances of these results are discussed in the conclusion.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/0165-0114(85)90014-4