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انجمن مهندسی مکانیک

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انجمن علمی مهندسی پزشکی

انجمن بیومکانیک

آموزش تعمیر تجهیزات پزشکی

آموزش تعمیرات تجهیزات پزشکی

دوره های مهندسی پزشکی

دوره های آموزشی مهندسی پزشکی

انجمن مهندسی پزشکی

آموزش تعمیر تجهیزات دندانپزشکی

آموزش بازرسی جوش

آموزش پایپینگ


             

A study of interval metric and its application in Multi-objective optimization with interval objective

Abstract

The aim of this paper is to discuss the optimality of interval multi-objective optimization problems with the help of different interval metric. For this purpose, we have proposed the new definitions of interval order relations by modifying the existing definitions and also modified different definitions of interval mathematics. Using the definitions of interval order relations and interval metric, the multi-objective optimization problem is converted into single objective optimization problem by different techniques. Then the corresponding problems have been solved by hybrid Tournament Genetic Algorithm with modified whole arithmetic crossover and modified double mutation (combination of non-uniform and boundary mutations). To illustrate the methodology, five numerical examples have been solved and the computational results have been compared. Finally, to test the efficiency of the proposed hybrid Tournament Genetic Algorithm, sensitivity analyses have been carried out graphically with respect to genetic algorithm parameters.

Keywords

  • Multiple objective programming;
  • Interval objective;
  • Interval order relations;
  • Pareto optimality;
  • Tournament Genetic Algorithm

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