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Ranking Alternatives Based on Intuitionistic Preference Relation

Author

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  • Zeshui Xu

    (Business School, Sichuan University, Chengdu 610064, China)

Abstract

In fuzzy decision-making environments, intuitionistic preference relation is highly useful in depicting uncertainty and vagueness of preference information provided by the decision maker. In the process of decision making with intuitionistic preference relation, the most crucial issue is how to derive the ranking of alternatives from intuitionistic preference relation. In this article, we investigate the ranking methods of alternatives on the basis of intuitionistic preference relation from various angles, which are based on the intuitionistic fuzzy ordered weighted averaging operator, the intuitionistic fuzzy ordered weighted geometric operator, the uncertain averaging operator, the uncertain geometric operator, the uncertain ordered weighted averaging operator, and the uncertain ordered weighted geometric operator, respectively, and study their desirable properties. Moreover, we give a numerical analysis of the developed ranking methods by a practical example, and finally discuss further research directions.

Suggested Citation

  • Zeshui Xu, 2014. "Ranking Alternatives Based on Intuitionistic Preference Relation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 13(06), pages 1259-1281.
    • Handle: RePEc:wsi:ijitdm:v:13:y:2014:i:06:n:s0219622014500254
    DOI: 10.1142/S0219622014500254
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