Original scientific paper

https://doi.org/10.31803/tg-20230515054622

A Probability-based Fuzzy Multi-objective Optimization for Material Selection

Maosheng Zheng orcid.org/0000-0003-3361-4060 ; School of Chemical Engineering, Northwest University, No. 229, Taibai North Road, Xi’an, 710069, Shaanxi Province, China *
Jie Yu ; The College of Life Science, Northwest University, No. 229, Taibai North Road, Xi’an, 710069, Shaanxi Province, China

* Corresponding author.

Abstract

In the present paper, a rational fuzzy multi-objective optimization for material selection is developed in respect of probabilistic method for multi-objective optimization, which agrees with the viewpoint of system theory for the whole optimization of a system and is the novelty of this work. The basic ideas and algorithms of fuzzy theory together with probability theory are taken as the cornerstone to perform the formulation. In the treatment, the intersection of the membership function of fuzzy numbers of alternative material performance and the membership function of fuzzy numbers of desired material performance is used as the utility of the material performance index. Thereafter, the utility of each material performance index is further used to conduct the assessment of its partial preferable probability and formulate the multi-objective optimization by means of probability theory. Moreover, a typical example is presented to provide the rational process of the probabilistic fuzzy multi-objective optimization for material selection.

Keywords

fuzzy; intersection; multi-objective optimization; probability; utility

Hrčak ID:

316897

URI

https://hrcak.srce.hr/316897

Publication date:

31.5.2024.

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