The solution set of fuzzy relation equations with addition-min composition
Artificial Intelligence
2022-11-01 v1
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.
Keywords
Cite
@article{arxiv.2210.16502,
title = {The solution set of fuzzy relation equations with addition-min composition},
author = {Meng Li and Xue-Ping Wang},
journal= {arXiv preprint arXiv:2210.16502},
year = {2022}
}
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