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- W2103752539 abstract "This paper studies a three-level non-linear multi-objective decision-making (TLN-MODM) problem with linear (or non-linear) constraints, and in which the objective function at every level are non-linear functions which are to be maximized. This paper makes an extension work of Abo-Sinna [J. Operat. Res. Soc. India (OPSEARCH) 38 (5) (2001) 484-495] which deal with a bi-level non-linear multi-objective decision-making problem under Fuzziness. The three level programming (TLP) problem, whether from the stand point of the three-planner Stackelberg behavior or from the interactive organizational behavior, is a very practical problem and encountered frequently in actual practice. This paper proposes a three-planner multi-objective decision-making model and solution method for solving this problem. This method uses the concepts of tolerance membership function and multi-objective optimization at each level to develop a fuzzy Max-Min decision model for generating Pareto optimal (satisfactory) solution for TLN-MODM problem; the first level decision maker (FLDM) specifies his/her objective functions and decisions with possible tolerances which are described by membership functions of fuzzy set theory. Then, the second level decision-maker (SLDM) specifies his/her objective functions and decisions, in the view of the FLDM, with possible tolerances which are described by membership functions of fuzzy set theory. Finally, the third level decision-maker (TLDM) uses the preference information for the FLDM and SLDM to solves his/her problem subject to the two upper level decision-makers restrictions. An illustrative numerical example is given to demonstrate the obtained results." @default.
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- W2103752539 date "2004-05-01" @default.
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- W2103752539 title "A multi-level non-linear multi-objective decision-making under fuzziness" @default.
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- W2103752539 doi "https://doi.org/10.1016/s0096-3003(03)00628-3" @default.
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