Minimal Solutions of Fuzzy Relation Inequalities With Addition-Min Composition and Their Applications

Minimal Solutions of Fuzzy Relation Inequalities With Addition-Min Composition and Their Applications

This paper deals with the set of minimal solutions for fuzzy relation inequalities with addition-min composition. We first show a necessary and sufficient condition for a solution of the fuzzy relation inequalities being a minimal one, then we propose an algorithm to find all minimal solutions of th...

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Veröffentlicht in:IEEE transactions on fuzzy systems 2023-05, Vol.31 (5), p.1-11
Hauptverfasser: Li, Meng, Wang, Xue-ping
Format: Artikel
Sprache:eng
Schlagworte:
Addition-min composition
algorithm
Algorithms
Bandwidth
Composition
fuzzy relation inequality
Indexes
Inequalities
Manganese
minimal solution
Minimax techniques
optimal solution
Optimization
Peer-to-peer computing
Search problems
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Zusammenfassung:This paper deals with the set of minimal solutions for fuzzy relation inequalities with addition-min composition. We first show a necessary and sufficient condition for a solution of the fuzzy relation inequalities being a minimal one, then we propose an algorithm to find all minimal solutions of the fuzzy relation inequalities. Finally, we use all minimal solutions of the fuzzy relation inequalities to solve the related optimization problems, which will be illustrated by a series of numeral examples.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2022.3213884