A fuzzy control system with application to production planning problems

  • Authors:
  • Zhongfeng Qin;Manying Bai;Dan Ralescu

  • Affiliations:
  • School of Economics and Management, Beihang University, Beijing 100191, China;School of Economics and Management, Beihang University, Beijing 100191, China;Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, USA

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2011

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Abstract

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.