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

This article 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...

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Published inIEEE transactions on fuzzy systems Vol. 31; no. 5; pp. 1665 - 1675
Main Authors Li, Meng, Wang, Xue-ping
Format Journal Article
LanguageEnglish
Published New York IEEE 01.05.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
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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Abstract This article 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.
AbstractList This article 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.
Author Wang, Xue-ping
Li, Meng
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Snippet This article deals with the set of minimal solutions for fuzzy relation inequalities with addition-min composition. We first show a necessary and sufficient...
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SubjectTerms 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
Title Minimal Solutions of Fuzzy Relation Inequalities With Addition-Min Composition and Their Applications
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