TOPSIS Sorting with Optimized Cutoff Values

Chichang Jou

《International Journal of Information and Management Sciences》 35卷2期 (2024/06) Pp. 175-190

https://doi.org/10.6186/IJIMS.202406_35(2).0005

摘要

Many real-world decision problems require sorting alternatives into ordered classes, and often they involve multiple measures, making them multi-criteria sorting problems. Previous research on applying TOPSIS (The Technique for Order of Preference by Similarity to Ideal Solution) to these practical problems has focused on proposing criteria weights and computing relative closeness, obtained by comparing distances of alternatives to the positive and negative ideal solutions. However, the issue of how to determine the cutoff values has not been attacked before. We propose a general approach to determine optimized cutoff values, with objective weights for the TOPSIS sorting process. These cutoff values are obtained by minimizing the sum of deviations for randomly selected representative alternatives of neighboring classes. The procedure is demonstrated using two public datasets. It is then analyzed and compared with previous research and traditional data mining techniques, and the results demonstrate that TOPSIS is an effective tool for ordered sorting.

關鍵字

Multiple criteria decision making ； TOPSIS ； Ordered sorting ； Cutoff value

參考文獻

Aruldoss, M.,Travis, M. L.,Venkatesan, V. P.(2015).A reference model for business intelligence to predict bankruptcy.Journal of Enterprise Information Management.28,186-217.

Baccour, L.(2018).Amended fused TOPSIS-VIKOR for classification (ATOVIC) applied to some UCI data sets.Expert Systems with Applications.99,115-125.

Chen, Y.,Hipel, K. W.,Kilgour, D. M.(2007).Multiple-Criteria sorting using case-based distance models with an application in water resources management.IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans.37(5),680-691.

de Lima Silva, D. F.,de Almeida Filho, A. T.(2020).Sorting with TOPSIS through boundary and characteristic profiles.Computers and Industrial Engineering.141,106328.

de Lima Silva, D. F.,Ferreira, L.,de Almeida-Filho, A. T.(2020).A new preference disaggregation TOPSIS approach applied to sort corporate bonds based on financial statements and expert’s assessment.Expert Systems with Applications.152,113369.