Resolution of Fuzzy Relation Equations with Constraints
<p>This paper studies the resolution of the max-min compositional fuzzy relation equation with the constraint of <inline-formula id="M1"><math id="mathml_M1" display="inline" overflow="scroll"><munderover><mo movablelimits="fals...
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2023-09-01
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| Series: | Fuzzy Information and Engineering |
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| Online Access: | https://www.sciopen.com/article/10.26599/FIE.2023.9270017 |
| Summary: | <p>This paper studies the resolution of the max-min compositional fuzzy relation equation with the constraint of <inline-formula id="M1"><math id="mathml_M1" display="inline" overflow="scroll"><munderover><mo movablelimits="false">∑</mo><mrow class="MJX-TeXAtom-ORD"><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover><mrow class="MJX-TeXAtom-ORD"><mrow class="MJX-TeXAtom-ORD"><msub><mi>x</mi><mi>i</mi></msub></mrow></mrow><mo>=</mo><mn>1</mn></math></inline-formula>. The solvability and the unique solvability of this constrained fuzzy relation equation are characterized. Furthermore, this paper presents a resolution of it and designs a corresponding tabular method. Finally, a numerical example is provided to illustrate the resolution procedure.</p> |
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| ISSN: | 1616-8658 1616-8666 |