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CHARACTERIZATION OF EFFICIENT SOLUTIONS FOR multi-objective optimization problems INVOLVING SEMI-STRONG AND GENERALIZED SEMI-STRONG E-CONVEXITY

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Acta Mathematica Scientia 2008年第1期28卷 7-16页

作者： E.A.Youness Tarek Emam Department of Mathematics Faculty of ScienceTanta UniversityTantaEgypt Department of Mathematics Faculty of Education in SuezSuez Canal UniversitySuezEgypt

The authors of this article are interested in characterization of efficient solutions for special classes of problems. These classes consider semi-strong E-convexity of involved functions. Sufficient and necessary con... 详细信息

关键词： multi-objective optimization problems semi-strong E-convex efficient solutions properly efficient solutions

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Improved hybrid Strength Pareto Evolutionary Algorithms for multi-objective optimization

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International Journal of Intelligent Computing and Cybernetics 2018年第1期11卷 20-46页

作者： K.Shankar Akshay S.Baviskar Department of mechanical engineering indian institute of technology madraschennaiindia

Purpose–The purpose of this paper is to design an improved multi-objective algorithm with better spread and convergence than some current *** proposed application is for engineering design ***/methodology/approach–This study proposes two novel approaches which focus on faster convergence to the Pareto front(PF)while adopting the advantages of Strength Pareto Evolutionary Algorithm-2(SPEA2)for better *** first method,decision variables corresponding to the optima of individual objective functions(Utopia Point)are strategically used to guide the search toward *** second method,boundary points of the PF are calculated and their decision variables are seeded to the initial ***–The proposed methods are tested with a wide range of constrained and unconstrained multi-objective test functions using standard performance *** evaluation demonstrates the superiority of proposed algorithms over well-known existing algorithms(such as NSGA-II and SPEA2)and recent ones such as NSLS and E-NSGA-II in most of the benchmark *** is also tested on an engineering design problem and compared with a currently used *** implications–The algorithms are intended to be used for practical engineering design problems which have many variables and conflicting objectives.A complex example of Welded Beam has been shown at the end of the *** implications–The algorithm would be useful for many design problems and social/industrial problems with conflicting ***/value–This paper presents two novel hybrid algorithms involving SPEA2 based on:local search;and Utopia point directed search *** concept has not been investigated before.

关键词： Evolutionary algorithms Boundary points multi-objective optimization problems Strength Pareto Evolutionary Algorithm 2(SPEA2)

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