A fuzzy control system with application to production planning problems.

*(English)*Zbl 1208.93051Summary: A considerable part of the literature on fuzzy sets is devoted to the field of fuzzy control system. In this paper, an alternative control system is introduced to describe a dynamic system with fuzzy white noise. In order to find optimal ways to control such a system, fuzzy optimal control theory is further developed. Specifically, a linear quadratic model is formulated and solved as a fuzzy optimal control problem. The formulation and solution of this model provide an economic interpretation of a production planning model both in the finite horizon and in the infinite horizon.

##### Keywords:

credibility theory; production planning; optimal control; fuzzy control system; Liu process
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##### References:

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