A multi-level non-linear multi-objective decision-making under fuzziness

Osman, M. S.; Abo-Sinna, Mahmoud A.; Amer, Azza H.; Emam, O. E.

doi:10.1016/s0096-3003(03)00628-3

Cited by 86 publications

(58 citation statements)

References 11 publications

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“…Osman et al [43] extended the fuzzy approach of Abo-Sinna [15] for solving non-linear bi-level and tri-level multi-objective decision making under fuzziness. Their method based on the concept that the lower level decision maker maximizes membership goals taking a goal or preference of the ULDM into consideration.…”

Section: Related Workmentioning

confidence: 99%

Quadratic Bi-level Programming Problem Based On Fuzzy Goal Programming Approach

Pramanik¹,

Dey²,

Ghosh³

et al. 2011

IJSEA

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Section: Related Workmentioning

confidence: 99%

Quadratic Bi-level Programming Problem Based On Fuzzy Goal Programming Approach

Pramanik¹,

Dey²,

Ghosh³

et al. 2011

IJSEA

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“…Lai [1] at first proposed a new solution concept based on tolerance membership functions as well as multiple objective optimizations to develop an effective fuzzy approach for solving MLPP. Shih et al [2] extended Lai's concept and proposed a supervised search procedure by employing non-compensatory max-min aggregation operator for solving MLPP.…”

Section: Introductionmentioning

confidence: 99%

Solving Large-scale Three-level Linear Fractional Programming Problem with Rough Coefficient in Objective Function

Omran¹,

Emam²,

Abd-Elatif³

et al. 2017

IJCA

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In this paper a Large-Scale three level fractional problem is considered with random rough coefficient in objective function, in order to solve this problem, The intervals technique used to convert rough nature in objective into equivalent crisp , Then Tailor Series transformation is used to convert the Large-Scale three level fractional to an equivalent three level linear programming problem , then a Traditional Method used to constructed solution of the three-level programming problem, then we will use Decomposition Technique to solve Large-ScaleProblem. Finally an auxiliary problem is discussed as well as an example is presented.

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“…Abo-Sinha [23] discussed multi-objective optimization for solving non-linear multi-objective bi-level programming problems in fuzzy environment. Osman et al [24] extended fuzzy approaches [23] for solving non-linear bi-level and tri-level multi-objective decision making under fuzziness. Baky [25] studied FGP algorithm for solving decentralized bi-level multi-objective programming problems.…”

Section: Introductionmentioning

confidence: 99%

A new methodological development for solving linear bilevel integer programming problems in hybrid fuzzy environment

Biswas¹,

Kumar²

2016

ntmsci

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This paper deals with fuzzy goal programming approach to solve fuzzy linear bilevel integer programming problems with fuzzy probabilistic constraints following Pareto distribution and Frechet distribution. In the proposed approach a new chance constrained programming methodology is developed from the view point of managing those probabilistic constraints in a hybrid fuzzy environment. A method of defuzzification of fuzzy numbers using α−cut has been adopted to reduce the problem into a linear bilevel integer programming problem. The individual optimal value of the objective of each DM is found in isolation to construct the fuzzy membership goals. Finally, fuzzy goal programming approach is used to achieve maximum degree of each of the membership goals by minimizing under deviational variables in the decision making environment. To demonstrate the efficiency of the proposed approach, a numerical example is provided.

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A multi-level non-linear multi-objective decision-making under fuzziness

Cited by 86 publications

References 11 publications

Quadratic Bi-level Programming Problem Based On Fuzzy Goal Programming Approach

Quadratic Bi-level Programming Problem Based On Fuzzy Goal Programming Approach

Solving Large-scale Three-level Linear Fractional Programming Problem with Rough Coefficient in Objective Function

A new methodological development for solving linear bilevel integer programming problems in hybrid fuzzy environment

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