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

Subject Areas : linear Programming

Seyyed Hadi Nasseri ¹ , Elham Darban Jafari ² , Roghayyeh Chameh ³

1 - Department of Mathematics, University of Mazandaran, Babolsar, Iran
2 - Department of Mathematics, University of Mazandaran, Babolsar, Iran.
3 - Department of Mathematics, University of Mazandaran, Babolsar, Iran.

Received: 2015-07-16 Accepted : 2015-09-19 Published : 2015-12-01

Keywords: fuzzy number, Fuzzy linear programming, simplex algorithm, fuzzy ordering,

Abstract :

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.

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