International Journal of Innovative Research in Engineering and Management
Year: 2016, Volume: 3, Issue: 4
First page : ( 314) Last page : ( 319)
Online ISSN : 2350-0557.
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Samir A. Abass , Asmaa S. Abdallah
This paper proposes a solution method for three level programming (TLP) problem with interval coefficients in both of objective functions and constraints. This method uses the concepts of tolerance membership function at each level to develop a fuzzy Max–Min decision model for generating Pareto optimal (satisfactory) solution. The first level decision maker (FLDM) specifies his/her objective functions and decisions with possible tolerances. Then, the second level decision-maker (SLDM) specifies his/her objective functions and decisions, in the view of the FLDM, with possible. Finally, the third level decision-maker (TLDM) uses the preference information for the FLDM and SLDM to solve his/her problem subject to the two upper level decision-makers restrictions. An illustrative numerical example is provided to clarify the proposed approach.
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Atomic Energy Authority, Nuclear Research Center, Cairo, Egypt. P.O. Box 13759, Egypt.
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