Topsis method for multiple attribute decision making under trapezoidal intuitionistic fuzzy environment

Article type: Research Article

Authors: Liu, Ai-Fang

Affiliations: College of Architecture Engineering of Shandong University of Technology, Zibo, China

Note: [] Corresponding author. Ai-Fang Liu, College of Architecture Engineering of Shandong University of Technology, Zibo 255046, China. Tel.: +86 013792182382; Fax: +86 5332182378; E-mail: liuaifang329@163.com

Abstract: The aim of this paper is to investigate the multiple attribute decision making problems with trapezoidal intuitionistic fuzzy information, in which the information about attribute weights is completely unknown or partially known, and the attribute values take the form of trapezoidal intuitionistic fuzzy number. We developed a multiple attribute decision making method by closeness to ideal alternative in trapezoidal intuitionistic fuzzy setting, by which the attribute weights can be determined. For the special situations where the information about attribute weights is completely unknown, we establish another optimization model. By solving this model, we get a simple and exact formula, which can be used to determine the attribute weights. Then, we calculate the distances between the ideal alternative and all alternatives to determine the ranking of all alternatives. Finally, an example about supplier selection is shown to highlight the procedure of the proposed algorithm.

Keywords: Multiple attribute decision making, trapezoidal intuitionistic fuzzy number, weight information, distances measure, supplier selection

DOI: 10.3233/IFS-130911

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 5, pp. 2403-2409, 2014