Location of medical warehouse applying BBTOPSIS based multi-criteria decision making with basic uncertain information

Article type: Research Article

Authors: Tao, Zhifu^a | Wang, Xinyu^a | Zhu, Benji^a | Wu, Peng^{b; *}

Affiliations: [a] School of Big Data and Statistics, Anhui University, Hefei, Anhui China | [b] School of Business, Anhui University, Hefei, Anhui China

Correspondence: [*] Corresponding author. Peng Wu, School of Business, Anhui University, Hefei, Anhui China 230601. E-mail: [email protected].

Abstract: The aim of this paper is to introduce a combination of Basic Uncertain Information (BUI) and a Bag Based Technique for Order Preference by Similarity to Ideal Solution (BBTOPSIS), which is further applied to multi-attribute decision making (MADM) with BUI. To realize the decision process, a novel comparison law is developed to derive the superiority, inferiority and noninferiority multi-attribute canonical fuzzy bags. Mathematical properties of the developed comparison law is discussed. Besides, to extend traditional TOPSIS method in BUI, a novel distance measure between BUI is also introduced, which is composed by distance between transformed intervals and similarity between BUI. Superiority of the developed distance measure is illustrated. Finally, a decision algorithm is presented to solve MADM with BUI by using the developed BBTOPSIS under BUI. A numerical example on location of medical warehouse is presented to illustrate the feasibility and validity of the developed decision method.

Keywords: Basic uncertain information, BBTOPSIS, multi-attribute decision making, medical warehouse, location

DOI: 10.3233/JIFS-223835

Journal: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 5, pp. 8627-8636, 2023