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Article | Open Access

Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint

School of Financial Mathematics & Statistics, Guangdong University of Finance, Guangzhou 510521, China
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Abstract

In this paper, a new solution method of quadratic programming with max-min fuzzy relation equation constraint is put forward. Firstly, the optimal solution to some special fuzzy relation quadratic programming is researched. Secondly, some rules are presented to simplify the original programming. Finally, the new algorithm is given based on the simplified programming and the branch and bound method, the new algorithm does not need to find all feasible minimal solutions. Some numerical examples are given to illustrate the feasibility and effectiveness of the presented new algorithm.

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Fuzzy Information and Engineering
Pages 300-313

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Cite this article:
Zhou X-G. Qudratic Programming with Max-Min Fuzzy Relation Equations Constraint. Fuzzy Information and Engineering, 2024, 16(4): 300-313. https://doi.org/10.26599/FIE.2024.9270047

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Received: 10 January 2023
Revised: 12 November 2023
Accepted: 05 November 2024
Published: 31 December 2024
© The Author(s) 2024. Published by Tsinghua University Press.

This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).