Abstract
This paper considers resolving the inconsistency of a system of fuzzy relational equations with max-T composition by simultaneously modifying the coefficient matrix and the right hand side vector. We show that resolving the inconsistency of fuzzy relational equations with max-T composition by means of Chebyshev approximation is closely related to the generalized solvability of interval-valued fuzzy relational equations with max-T composition. An efficient procedure is proposed to obtain a consistent system with the smallest perturbation in the sense of Chebyshev distance.
The work is supported by US NSF Grant #DMI-0553310.
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Li, P., Fang, SC. (2010). Chebyshev Approximation of Inconsistent Fuzzy Relational Equations with Max-T Composition. In: Lodwick, W.A., Kacprzyk, J. (eds) Fuzzy Optimization. Studies in Fuzziness and Soft Computing, vol 254. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13935-2_5
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DOI: https://doi.org/10.1007/978-3-642-13935-2_5
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