Interactive stability of multiobjective integer nonlinear programming problems

Elshafei, Mervat M.

doi:10.1016/j.amc.2005.09.046

Cited by 4 publications

(3 citation statements)

References 8 publications

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“…In this paper we have integrated different methods like normalized trade-off in [9] and compromised method by Kassem [11] to find a modified method which can be used to solve and obtain an optimal solution to the assumed problem.…”

Section: Discussionmentioning

confidence: 99%

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A Modified Interactive Stability Algorithm for Solving Multi-Objective NLP Problems with Fuzzy Parameters in Its Objective Functions

Kassem¹,

Tarabia²,

El-Badry³

2016

AJOR

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This paper presents a modified method to solve multi-objective nonlinear programming problems with fuzzy parameters in its objective functions and these fuzzy parameters are characterized by fuzzy numbers. The modified method is based on normalized trade-off weights. The obtained stability set corresponding to α-Pareto optimal solution, using our method, is investigated. Moreover, an algorithm for obtaining any subset of the parametric space which has the same corresponding α-Pareto optimal solution is presented. Finally, a numerical example to illustrate our method is also given.

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Section: Discussionmentioning

confidence: 99%

“…Jameel and Sadeghi [8] solved nonlinear programming problem in fuzzy enlivenment. Recently, Elshafei [9] and Parag [10] gave an interactive stability compromise programming method for solving fuzzy multi-objective integer nonlinear programming problems.…”

Section: Introductionmentioning

confidence: 99%

A Modified Interactive Stability Algorithm for Solving Multi-Objective NLP Problems with Fuzzy Parameters in Its Objective Functions

Kassem¹,

Tarabia²,

El-Badry³

2016

AJOR

View full text Add to dashboard Cite

show abstract

“…Loganathan and Sherali [6] presented an interactive cuttingplane algorithm for determining a best-compromise solution to a multiobjective optimization problem in situations with an implicitly defined utility function. Recently, Elshafei [7] introduced an interactive stability compromise programming method for solving fuzzy multiobjective integer nonlinear programming problems. This paper presents an interactive cutting-plane algorithm for solving multiobjective nonlinear programming problems with fuzzy parameters in the objective functions.…”

Section: Introductionmentioning

confidence: 99%