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Communicated by T. Allahviranloo.
This work was supported by the National Natural Science Foundation of China under Grants 61203131, 11171177, and 71301084.
This paper discusses the linear optimization problem constrained by a system of bipolar fuzzy relational equations with max-\(T\) composition, where the involved triangular norm is the Łukasiewicz t-norm. Although it is in general NP-hard, such an optimization problem can be reformulated in polynomial time into a 0-1 integer linear optimization problem and then solved taking advantage of well developed techniques in integer optimization.
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De Baets B (2000) Analytical solution methods for fuzzy relational equations. In: Dubois D, Prade H (eds) Fundamentals of fuzzy sets, the handbooks of fuzzy sets series, vol 1. Kluwer, Dordrecht, pp 291–340 CrossRef
Di Nola A, Sessa S, Pedrycz W, Sanchez E (1989) Fuzzy relation equations and their applications to knowledge engineering. Kluwer, Dordrecht
Li P (2009) Fuzzy relational equations: resolution and optimization. Ph.D. Dissertation, North Carolina State University
Li P, Jin Q (2013) On the resolution of bipolar max-min equations. In: IEEE transactions on fuzzy systems, 2nd review
Peeva K, Kyosev Y (2004) Fuzzy relational calculus: theory, applications and software. World Scientific, New Jersey
- Linear optimization with bipolar fuzzy relational equation constraints using the Łukasiewicz triangular norm
- Publication date
- Springer Berlin Heidelberg
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