Fuzzy Approach for Three Level Linear Programming Problems

Zaher, Hegazy; Saeid, Naglaa Ragaa; Serag, Ahmed

doi:10.5120/ijca2016908205

Cited by 4 publications

(2 citation statements)

References 26 publications

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“…The sequence of the play is very important and the decision of the upper-level limitations affects the decision of the lower-levels [10] [11] .…”

Section: Introductionmentioning

confidence: 99%

Fully Fuzzy Multi-Level Linear Programming Problem

Emam¹,

Fathy²,

Helmy³

2016

IJCA

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This paper focuses on the solution of fully fuzzy multi-level linear programming (FFMLLP) Problem, where all of its decision parameters and variables are fuzzy numbers. An algorithm depending on the fuzzy decision approach and bound and decomposition method will be developed to find a fuzzy optimal solution for the problem under consideration. The main results obtained in this paper will be clarified by an illustrative numerical example. KeywordsMulti-level programming; Fuzzy decision approach; Bound and decomposition method; Fuzzy linear programming.

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“…The sequence of the play is very important and the decision of the upper-level limitations affects the decision of the lower-levels [10] [11] .…”

Section: Introductionmentioning

confidence: 99%

Fully Fuzzy Multi-Level Linear Programming Problem

Emam¹,

Fathy²,

Helmy³

2016

IJCA

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“…Solution procedures of MLP assign each decision maker a unique objective, a set of decision variables and a set of general constraints that affect all decision makers. Each DM independently investigates itself interest but is affected by the actions of other DMs [3,4,5].…”

Section: Introductionmentioning

confidence: 99%

An Interactive Model for Fully Rough Three Level Large Scale Integer Linear Programming Problem

Emam¹,

Fathy²,

Abohany³

2016

IJCA

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The motivation behind this paper is to focus on the solution of Fully Rough Three Level Large Scale Integer Linear Programming (FRTLLSILP) problem, in which all decision parameters and decision variables in the objective functions and the constraints are rough intervals, and have block angular structure of the constraints. The optimal values of decision rough variables are rough integer intervals. The proposed model is based on interval method and slice-sum method in an interactive model to find a compromised solution for the problem under consideration. Furthermore, the concepts of satisfactoriness are advanced as the upper level decisionmakers' preferences until the preferred solution is obtained.

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