A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming

Iranian Journal of Optimization

مقاله 5، دوره 7، شماره 2، اسفند 2015، صفحه 849-855   

نوع مقاله: Research Paper

نویسندگان

S.H Nasseri^{* 1}؛ E. Darban Jafari²؛ R. Chameh²

¹Department of Mathematics, University of Mazandaran, Babolsar, Iran

²Department of Mathematics, University of Mazandaran, Babolsar, Iran.

چکیده

Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. For overcoming the above problems, we propose a new method for ranking fuzzy quantities based on the distance method. Then, an application of using fuzzy ordering in the fuzzy mathematical programming as well as fuzzy primal simplex algorithm is indicated. In particular, we emphasize that the fuzzy ordering will be useful when a decision maker needs to evaluate the optimality condition in any solving process.

کلیدواژه‌ها

Fuzzy linear programming؛ fuzzy number؛ fuzzy ordering؛ simplex algorithm

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