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A hesitant fuzzy multiple attribute decision making method based on linear programming and TOPSIS

IFAC-PapersOnLine 2015年第28期48卷 427-431页

作者： Zhang, Yingjun Xie, Ang Wu, Yuting School of computer and Information Technology Beijing Key Lab of Traffic Data Analysis and Mining Beijing Jiaotong University Beijing100044 China

Hesitant fuzzy set (HFS) provides an effective tool in dealing with decision making situation when only some values of a membership are possible for an alternative on certain attribute. In this paper, we propose a method based on linear programming and TOPSIS to solve the multiple attribute decision making (MADM) problem with partially known attribute weight information under hesitant fuzzy environment. To begin with, we present a linear programming model for assessing objective attribute weights from the decision making matrix and partially known attribute weight information. Moreover, we utilize the weighted correlation coefficient values between every alternative and the positive ideal point to rank all the alternatives based on TOPSIS. Furthermore, a numerical example is utilized to validate the MADM method proposed in this paper. © 2015

关键词： decision making fuzzy sets Linear programming Numerical methods decision making analysis fuzzy multiple attribute decision making methods Hesitant fuzzy set (HFS) Linear programming models multiple attribute decision making multiple attribute decision making (MADM) problems TOPSIS Weighted correlation coefficients

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