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Entropy-based procedures for intuitionistic fuzzy multiple attribute decision making

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2 Author(s)
Zeshu, Xu ; School of Economics and Management, Southeast Univ., Nanjing 210096, P. R. China Inst. of Sciences, PLA Univ. of Sciences and Technology, Nanjing 210007, P. R. China ; Hu, Hu

The class of multiple attribute decision making (MADM) problems is studied, where the attribute values are intuitionistic fuzzy numbers, and the information about attribute weights is completely unknown. A score function is first used to calculate the score of each attribute value and a score matrix is constructed, and then it is transformed into a normalized score matrix. Based on the normalized score matrix, an entropy-based procedure is proposed to derive attribute weights. Furthermore, the additive weighted averaging operator is utilized to fuse all the normalized scores into the overall scores of alternatives, by which the ranking of all the given alternatives is obtained. This paper is concluded by extending the above results to interval-valued intuitionistic fuzzy set theory, and an illustrative example is also provided.

Published in:

Systems Engineering and Electronics, Journal of  (Volume:20 ,  Issue: 5 )