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Ain Shams Engineering Journal
Article . 2021 . Peer-reviewed
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Ain Shams Engineering Journal
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Ain Shams Engineering Journal
Article . 2021
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A novel algorithm for generating Pareto frontier of bi-level multi-objective rough nonlinear programming problem

Authors: M.A. Elsisy; M.A. El Sayed; Y. Abo-Elnaga;

A novel algorithm for generating Pareto frontier of bi-level multi-objective rough nonlinear programming problem

Abstract

This paper discusses a new algorithm for generating the Pareto frontier for bi-level multi-objective rough nonlinear programming problem (BL-MRNPP). In this algorithm, the uncertainty exists in constraints which are modeled as a rough set. Initially, BL-MRNPP is transformed into four deterministic models. The weighted method and the Karush-Kuhn-Tucker optimality condition are combined to obtain the Pareto front of each model. The nature of the problem solutions is characterized according to newly proposed definitions. The location of efficient solutions depending on the lower/upper approximation set is discussed. The aim of the proposed solution procedure for the BL-MRNPP is to avoid solving four problems. A numerical example is solved to indicate the applicability of the proposed algorithm.

Keywords

Multi-objective programming, Rough set, Bi-level programming, KKT optimality, TA1-2040, Engineering (General). Civil engineering (General)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
38
Top 10%
Top 10%
Top 10%
gold