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Aggregation and decision making using intuitionistic multiplicative triangular fuzzy information

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Abstract

The intuitionistic triangular fuzzy set is a generalization of the intuitionistic fuzzy set. In practical applications, we find that the results derived by using the traditional intuitionistic triangular fuzzy aggregation operators based on intuitionistic triangular fuzzy sets are sometimes inconsistent with intuition. To overcome this issue, based on the [1/9, 9] scale, we define the concepts of intuitionistic multiplicative triangular fuzzy set and intuitionistic multiplicative triangular fuzzy number, and then we discuss their operational laws and some desirable properties. Based on the operational laws, we develop a series of aggregation operators for intuitionistic multiplicative triangular fuzzy information, and then apply them to propose an approach to multi-attribute decision making under intuitionistic fuzzy environments. Finally, we use a practical example involving the evaluation of investment alternatives of an investment company to demonstrate our aggregation operators and decision making approach.

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Authors and Affiliations

  1. College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu, 210007, China

    Shan Yu

  2. Business School, Sichuan University, Chengdu, China

    Zeshui Xu

Authors
  1. Shan Yu
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  2. Zeshui Xu
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Corresponding author

Correspondence to Zeshui Xu.

Additional information

The work was supported in part by the National Natural Science Foundation of China (Nos. 71071161 and 61273209).

Shan Yu Received the Master degree in basic mathematics from Harbin Institute of Technology, Harbin, China, in 2005.

Zeshui Xu received the Ph.D. degree in management science and engineering from Southeast University, Nanjing, China, in 2003. From April 2003 to May 2005, he was a Postdoctoral Researcher with the School of Economics and Management, Southeast University. From October 2005 to December 2007, he was a Postdoctoral Researcher with the School of Economics and Management, Tsinghua University, Beijing, China. He is currently the Yangtze River Scholars Distinguished Professor with Business School, Sichuan University, Chengdu, China. He has authored five monographs: Uncertain Multiple Attribute Decision Making: Methods and Applications (Tsinghua Univ. Press), Intuitionistic Fuzzy Information Aggregation: Theory and Applications (Science, Springer-Verlag), Linguistic Decision Making: Theory and Methods (Science, Springer-Verlag), Intuitionistic Fuzzy Aggregation and Clustering (Springer-Verlag), Intuitionistic Fuzzy Preference Modeling and Interactive Decision Making (Springer-Verlag). He has contributed more than 330 journal articles to professional journals. The published papers have been cited over 18000 times. He is also peer reviewer for more than 140 professional journals, and his h-index is 70 (Google Scholar). He is currently the associate editors of Fuzzy Optimization and Decision Making, Journal of Intelligence Systems, and also a member of Editorial Boards of Information: An International Journal, International Journal of Applied Management Science, International Journal of Data Analysis Techniques and Strategies, Journal of Applied and Computational Mathematics, International Journal of Research in Industrial Engineering, System Engineering-Theory and Practice, Fuzzy Systems and Mathematics, Journal of Systems Engineering, Chinese Journal of Management Science, and Journal of Intelligence Systems. His current research interests include group decision making, computing with words, aggregation operators, preference relations, and intuitionistic fuzzy sets.

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Yu, S., Xu, Z. Aggregation and decision making using intuitionistic multiplicative triangular fuzzy information. J. Syst. Sci. Syst. Eng. 23, 20–38 (2014). https://doi.org/10.1007/s11518-013-5237-2

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  • DOI: https://doi.org/10.1007/s11518-013-5237-2

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