Some Results of the Fuzzy Relation Inequalities With Addition-Min Composition

In this paper, some results of the fuzzy relation inequalities with addition-min composition are given. First, the uniqueness of minimal solutions of this system is discussed. Then, the relation between this system and the corresponding equations' system is introduced. The definition of the cri...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2018-02, Vol.26 (1), p.239-245
Main Author: Yang, Shao-Jun
Format: Article
Language:English
Subjects:
Bandwidth
Critical set
critical system
Data communication
Fuzzy control
fuzzy relation inequalities
Indexes
Knowledge engineering
Mathematical model
minimal solutions
Optimization
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Summary:In this paper, some results of the fuzzy relation inequalities with addition-min composition are given. First, the uniqueness of minimal solutions of this system is discussed. Then, the relation between this system and the corresponding equations' system is introduced. The definition of the critical set is presented, and an algorithm of the critical system is obtained. Finally, an algorithm for the fuzzy relation inequalities is presented.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2017.2648864