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Title

FUZZY LINEAR PROGRAMMING WITH GRADES OF SATISFACTION IN CONSTRAINTS

Year: 1388
COI: JR_IJFS-6-3_003
Language: EnglishView: 29
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Authors

Nikbakhsh Javadian - Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran
Yashar Maali - Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran
Nezam Mahdavi-Amiri - Department of Mathematical Sciences, Sharif University of Technology, P.O. Box ۱۱۳۶۵-۹۴۱۵, Tehran, Iran

Abstract:

We present a new model and a new approach for solving fuzzylinear programming (FLP) problems with various utilities for the satisfactionof the fuzzy constraints. The model, constructed as a multi-objective linearprogramming problem, provides flexibility for the decision maker (DM), andallows for the assignment of distinct weights to the constraints and the objectivefunction. The desired solution is obtained by solving a crisp problemcontrolled by a parameter. We establish the validity of the proposed modeland study the effect of the control parameter on the solution. We also illustratethe efficiency of the model and present three algorithms for solving theFLP problem, the first of which obtains a desired solution by solving a singlecrisp problem. The other two algorithms, interact with the decision maker,and compute a solution which achieves a given satisfaction level. Finally, wepresent an illustrative example showing that the solutions obtained are ofteneven more satisfactory than asked for.

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Paper COI Code

This Paper COI Code is JR_IJFS-6-3_003. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1466715/

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Javadian, Nikbakhsh and Maali, Yashar and Mahdavi-Amiri, Nezam,1388,FUZZY LINEAR PROGRAMMING WITH GRADES OF SATISFACTION IN CONSTRAINTS,https://civilica.com/doc/1466715

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Type of center: دانشگاه دولتی
Paper count: 11,187
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