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Maximum-Amplitude Solution of Addition-Min Fuzzy Relation Inequalities Considering the Stability in the P2P Network System.
- Source :
- IEEE Transactions on Fuzzy Systems; Jan2022, Vol. 30 Issue 1, p1-13, 13p
- Publication Year :
- 2022
-
Abstract
- Maximum amplitude and its corresponding maximum-amplitude solution are defined in an addition-min fuzzy relation inequalities system. The maximum-amplitude solution could be viewed as a stable solution, since it is able to survive the biggest fluctuation or perturbation appearing in its components. For solving the maximum amplitude and maximum-amplitude solution, we construct a relevant optimization problem and then convert it into several subproblems. Some auxiliary functions and index sets are introduced to deal with these subproblems. Algorithm I is developed to find their optimal solutions. Based on the optimal solutions of the subproblems, we further propose Algorithm II for obtaining the maximum amplitude and maximum-amplitude solution of an addition-min fuzzy relation inequalities system. Numerical examples illustrate the validness and efficiency of our proposed algorithms. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10636706
- Volume :
- 30
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 154800269
- Full Text :
- https://doi.org/10.1109/TFUZZ.2020.3029633