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New approach to MCDM under interval-valued intuitionistic fuzzy environment

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Abstract

It is well-known that how to determine the weights of criteria is an important problem of multicriteria decision making. To make further description of the aforementioned, in this paper we introduce an extended TOPSIS method for multicriteria decision making with interval-valued intuitionistic fuzzy information, where the weighted vector of each alternative is determined by ranking corresponding evaluation information. Meanwhile, we construct a new method to measure the distance between alternatives and positive ideal solution as well as negative ideal solution, which is score distance. Finally, the detailed decision making procedure is proposed and an illustrative example is applied to demonstrate its validity. It is worth while to point out that the weights determination for criteria will be helpful to future research on decision making analysis.

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Acknowledgments

This work is supported by National Natural Science Foundation of China (Nos. 60775032 and 10971243), and Beijing Natural Science Foundation (No. 4112031: Clustering and forecasting of large scale temporal data based on knowledge-guidance and optimal granulation of information). It is also sponsored by the priority discipline of Beijing Normal University.

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Authors and Affiliations

  1. School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, 100875, People’s Republic of China

    Shihu Liu & Fusheng Yu

  2. School of Mathematics and Statistics, Chongqing University of Technology, Chongqing, 400054, People‘s Republic of China

    Weihua Xu

  3. School of Science, Xi’an Jiaotong University, Xi’an, 710049, People‘s Republic of China

    Wenxiu Zhang

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  1. Shihu Liu
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  2. Fusheng Yu
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  3. Weihua Xu
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Correspondence to Shihu Liu.

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Liu, S., Yu, F., Xu, W. et al. New approach to MCDM under interval-valued intuitionistic fuzzy environment. Int. J. Mach. Learn. & Cyber. 4, 671–678 (2013). https://doi.org/10.1007/s13042-012-0143-3

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  • DOI: https://doi.org/10.1007/s13042-012-0143-3

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