Geodesic
On the resolution of bipolar max-min equations
Kybernetika, Tome 52 (2016) no. 4, pp. 514-530.

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This paper investigates bipolar max-min equations which can be viewed as a generalization of fuzzy relational equations with max-min composition. The relation between the consistency of bipolar max-min equations and the classical boolean satisfiability problem is revealed. Consequently, it is shown that the problem of determining whether a system of bipolar max-min equations is consistent or not is NP-complete. Moreover, a consistent system of bipolar max-min equations, as well as its solution set, can be fully characterized by a system of integer linear inequalities.
DOI : 10.14736/kyb-2016-4-0514
Classification : 49M37, 90C70
Keywords: bipolar max-min equations; fuzzy relational equations; satisfiability; linear inequalities 
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Li, Pingke; Jin, Qingwei. On the resolution of bipolar max-min equations. Kybernetika, Tome 52 (2016) no. 4, pp. 514-530. doi : 10.14736/kyb-2016-4-0514. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-4-0514/

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