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The solution set of fuzzy relation equations with addition-min composition
October 29, 2022 Β· Declared Dead Β· π arXiv.org
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Authors
Meng Li, Xue-Ping Wang
arXiv ID
2210.16502
Category
cs.AI: Artificial Intelligence
Citations
2
Venue
arXiv.org
Last Checked
4 months ago
Abstract
This paper deals with the resolutions of fuzzy relation equations with addition-min composition. When the fuzzy relation equations have a solution, we first propose an algorithm to find all minimal solutions of the fuzzy relation equations and also supply an algorithm to find all maximal solutions of the fuzzy relation equations, which will be illustrated, respectively, by numeral examples. Then we prove that every solution of the fuzzy relation equations is between a minimal solution and a maximal one, so that we describe the solution set of the fuzzy relation equations completely.
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