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Value-based-matrix-pattern (VBMP) algorithm for fuzzy relation equations with linear objective

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Abstract

In this paper a new algorithm is proposed to solve the optimization problem of fuzzy relation equations with linear objective function. Fuzzy relation equation is composed of max–min or max-product composition operator. This algorithm operates systematically on the matrix-pattern to get the solution(s). It is found easier to work with this algorithm. Two examples are given to illustrate the effectiveness of this algorithm.

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Acknowledgement

Author is thankful to anonymous referees for their valuable suggestions.

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Correspondence to Dhaneshwar Pandey.

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Pandey, D. Value-based-matrix-pattern (VBMP) algorithm for fuzzy relation equations with linear objective. OPSEARCH 48, 53–64 (2011). https://doi.org/10.1007/s12597-011-0039-0

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