A Fuzzy Approach for Ranking Discrete Multi-Attribute Alternatives under Uncertainty

Mathematics

Lihui Liu¹  Hepu Deng¹ 

[1] Business and Law School, Foshan University, Foshan, Guangdong 528000, China;

关键词: fuzzy extent analysis;    pairwise comparison;    multi-attribute decision-making;    ideal solutions;    degree of dominance;    fuzzy numbers;   

DOI  :  10.3390/math8060945

来源: DOAJ

【 摘 要 】

This paper presents a fuzzy approach for ranking discrete alternatives in multi-attribute decision-making under uncertainty. Linguistic variables approximated by fuzzy numbers were applied for facilitating the making of pairwise comparison by the decision maker in determining the alternative performance and attribute importance using fuzzy extent analysis. The resultant fuzzy assessments were aggregated using the simple additive utility method for calculating the fuzzy utility of each alternative across all the attributes. An ideal solution-based procedure was developed for comparing and ranking these fuzzy utilities, leading to the determination of the overall ranking of all the discrete multi-attribute alternatives. An example is provided that shows the proposed approach is effective and efficient in solving the multi-attribute decision making problem under uncertainty, due to the simplicity and comprehensibility of the underlying concept and the efficiency and effectiveness of the computation involved.

【 授权许可】

Unknown