Optimization Model By Fuzzy Environment | ||||
| The International Conference on Mathematics and Engineering Physics | ||||
| Article 12, Volume 4, International Conference on Mathematics and Engineering Physics (ICMEP-4), May 2008, Page 1-13 PDF (221.71 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/icmep.2008.29890 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| M. Afwat A. E.; A. A.M. Salama | ||||
| Abstract | ||||
| Abstract A well known linear programming model and its equivalent model are introduced as a handling type of Fuzzy optimal problem. Linear programming (LP) with Crisp objective function and crisp constraints is modified and presented to be Fuzzy linear programming (FLP) with Fuzzy objective function and Fuzzy constraints (Zimmermann 1983, Wemers 1984). For each value ri of the objective function r = cTx, ro < ri < r1, the membership r C ~μ of the constraints obtained by the min-max method and the membership r G ~μ of the objective function are to be found. The Fuzzy set { ri, r G ~μ . r C ~μ } implies the optimal value ri which satisfies the equality approach r G ~μ = r C ~μ , or the product approach : i max { r G ~μ . r C ~μ }. | ||||
| Keywords | ||||
| Fuzzy optimization; Min-max; Membership Function; fuzzy decision making; fuzzy linear programming | ||||
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