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On an Optimization Method Based on Z-Numbers and the Multi-Objective Evolutionary Algorithm

機(jī)譯:基于Z數(shù)和多目標(biāo)進(jìn)化算法的優(yōu)化方法研究。

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摘要

In this paper, we research the optimization problems with multiple Z-number valued objectives. First, we convert Z-numbers to classical fuzzy numbers to simplify the calculation. A new dominance relationship of two fuzzy numbers based on the lower limit of the possibility degree is proposed. Then according to this dominance relationship, we present a multi-objective evolutionary algorithm to solve the optimization problems. Finally, a simple example is used to demonstrate the validity of the suggested algorithm.
機(jī)譯:在本文中,我們研究了具有多個(gè)Z值目標(biāo)的優(yōu)化問題。首先,我們將Z數(shù)轉(zhuǎn)換為經(jīng)典模糊數(shù)以簡化計(jì)算。提出了基于可能性度下限的兩個(gè)模糊數(shù)的新支配關(guān)系。然后根據(jù)這種優(yōu)勢關(guān)系,提出了一種多目標(biāo)進(jìn)化算法來解決優(yōu)化問題。最后,使用一個(gè)簡單的例子來證明所建議算法的有效性。

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