理想溶液
托普西斯
模糊逻辑
数学优化
排名(信息检索)
数学
模糊数
理想(伦理)
光学(聚焦)
计算机科学
数据挖掘
模糊集
运筹学
人工智能
热力学
认识论
光学
物理
哲学
作者
S. A. Sadabadi,A. Hadi‐Vencheh,Ali Jamshidi,Mohammad Jalali
标识
DOI:10.1142/s0219622021500620
摘要
Owing to vague concepts frequently represented in decision data, the crisp values are inadequate to model real-life situations. In this paper, the rating of each alternative and the weight of each criterion is described by linguistic terms which can be expressed in triangular fuzzy numbers. Next, we focus on fuzzy TOPSIS (FTOPSIS) method. We show that, however, the conventional FTOPSIS is interesting, but it suffers from some flaws. The shortcomings of classical FTOPSIS are shown and some solutions are given. Further, a new similarity index is proposed and then is illustrated using numerical examples. By treating the separations of an alternative from the fuzzy positive ideal solution (FPIS) and the fuzzy negative ideal solution (FNIS) as “cost” criterion and “benefit” criterion, respectively, we reduce the original fuzzy multiple criteria decision making (FMCDM) problem to a new one with two criteria. Illustrative examples are given to show the advantages of the proposed approach.
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