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Subjects
49-XX Calculus of variations and optimal control; optimization
49Mxx Numerical methods
49M37 Methods of nonlinear programming type

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On discrete control problems having a minmax type objective functional

Jaroslav Doležal, Ronald R. Mohler (1981)

Kybernetika

On the resolution of bipolar max-min equations

Pingke Li, Qingwei Jin (2016)

Kybernetika

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,...

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