2022
DOI: 10.3390/math10224200
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Improved TOPSIS Method Considering Fuzziness and Randomness in Multi-Attribute Group Decision Making

Abstract: Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) is a commonly used decision model in multi-attribute group decision making (MAGDM), and a probabilistic linguistic term set (PLTS) is the linguistic variable that can effectively express the fuzziness of decision makers’ (DMs’) preference. However, in actual decision use, PLTS type decision preference needs to be processed before use, which can distort the decision results. The randomness of DM’s preference which also affects the final … Show more

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Cited by 6 publications
(4 citation statements)
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“…The ranking method of approximating ideal values (TOPSIS) is a multi-attribute decision analysis method. Its basic principle is to rank the evaluation object by detecting the distance between the object and the optimal solution and the worst solution, if the object is close to the optimal solution and far from the worst solution at the same time, it is the best; if it is the opposite, it is the worst [ 41 , 45 , 46 , 47 , 48 , 49 ]. By calculating the level value, the optimal solution, and the worst solution of community emergency management capability, calculating the distance between the level value with the optimal solution and the worst solution respectively, and finally comparing and ranking the evaluation results, the most likely evaluation result of community emergency management capability is determined.…”
Section: Community Emergency Management Capacity Evaluation Modelmentioning
confidence: 99%
“…The ranking method of approximating ideal values (TOPSIS) is a multi-attribute decision analysis method. Its basic principle is to rank the evaluation object by detecting the distance between the object and the optimal solution and the worst solution, if the object is close to the optimal solution and far from the worst solution at the same time, it is the best; if it is the opposite, it is the worst [ 41 , 45 , 46 , 47 , 48 , 49 ]. By calculating the level value, the optimal solution, and the worst solution of community emergency management capability, calculating the distance between the level value with the optimal solution and the worst solution respectively, and finally comparing and ranking the evaluation results, the most likely evaluation result of community emergency management capability is determined.…”
Section: Community Emergency Management Capacity Evaluation Modelmentioning
confidence: 99%
“…The Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is a typical multi-attribute decision-making method [14,15]. For the object to be evaluated, two distances need to be calculated: one is the distance to the positive ideal solution (i.e., the optimal solution) and the other is the distance to the negative ideal solution (i.e., the worst solution).…”
Section: Introductionmentioning
confidence: 99%
“…In the research in the field of decision making, aggregated fuzzy decision information in the form of cloud models to obtain decision results, and proposed a large-scale group classification decision method with dual trust-benefit factors in social networks. Cai et al (2022) proposed an asymmetric probabilistic linguistic cloud TOPSIS method. proposed a multi-stage decision making framework considering quantum-guided expert transfer based on a normal cloud model.…”
Section: Introductionmentioning
confidence: 99%