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Comparative analysis of SAW and TOPSIS based on interval-valued fuzzy sets: Discussions on score functions and weight constraints

机译:基于区间值模糊集的SAW和TOPSIS的比较分析:关于得分函数和权重约束的讨论

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摘要

Interval-valued fuzzy sets involve more uncertainties than ordinary fuzzy sets and can be used to capture imprecise or uncertain decision information in fields that require multiple-criteria decision analysis (MCDA). This paper takes the simple additive weighting (SAW) method and the technique for order preference by similarity to an ideal solution (TOPSIS) as the main structure to deal with interval-valued fuzzy evaluation information. Using an interval-valued fuzzy framework, this paper presents SAW-based and TOPSIS-based MCDA methods and conducts a comparative study through computational experiments. Comprehensive discussions have been made on the influence of score functions and weight constraints, where the score function represents an aggregated effect of positive and negative evaluations in performance ratings and the weight constraint consists of the unbiased condition, positivity bias, and negativity bias. The correlations and contradiction rates obtained in the experiments suggest that evident similarities exist between the interval-valued fuzzy SAW and TOPSIS rankings.
机译:间隔值模糊集比普通模糊集具有更多的不确定性,可用于捕获需要多标准决策分析(MCDA)的领域中不精确或不确定的决策信息。本文以简单相加加权法(SAW)和与理想解相似性(TOPSIS)的顺序偏好技术为处理区间值模糊评价信息的主要结构。利用区间值模糊框架,提出了基于声表面波和基于TOPSIS的MCDA方法,并通过计算实验进行了比较研究。关于得分函数和权重约束的影响已进行了全面的讨论,其中得分函数代表了绩效评估中正面和负面评估的综合效果,而权重约束则由无偏状态,正偏性和负偏性组成。在实验中获得的相关性和矛盾率表明,区间值模糊SAW与TOPSIS等级之间存在明显的相似性。

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