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D. Dubois and H. Prade, “Operations on Fuzzy Numbers,” International Journal of System Science, Vol. 9, No. 6, 1978, pp. 613-626.

has been cited by the following article:

• TITLE: Stability of Production Planning Problem with Fuzzy Parameters

  AUTHORS: Samir Abdou Abass

  KEYWORDS: Production Planning; Stability; Linear Programming; Fuzzy Parameters

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.2 No.3, September 28, 2012

  ABSTRACT: The traditional production planning model based upon the famous linear programming formulation has been well known in the literature. The consideration of uncertainty in manufacturing systems supposes a great advance. Models for production planning which do not recognize the uncertainty can be expected to generate inferior planning decisions as compared to models that explicitly account the uncertainty. This paper deals with production planning problem with fuzzy parameters in both of the objective function and constraints. We have a planning problem to maximize revenues net of the production inventory and lost sales cost. The existing results concerning the qualitative and quantitative analysis of basic notions in parametric production planning problem with fuzzy parameters. These notions are the set of feasible parameters, the solvability set and the stability set of the first kind.