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Intuitionistic Fuzzy Three-Factor Ratio Models and Multi-preference Fusion

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Abstract

Generally, decision-makers (DMs) can provide subjective opinions based on their risk attitude and intuitionistic preference for specific alternatives and attributes, which can be taken as cognitive information. For instance, alternative A is better than alternatives B and C, or attribute 3 is the most important. These multi-dimensional preferences and social cognitive behavior described by DMs based on their subjective evaluation should be taken into account when making a decision. How to fuse multiple, uncertain, imprecise but important preferences and cognitive information and then make a decision in an intuitionistic fuzzy environment is becoming a practical issue. Therefore, this paper defines a three-factor ratio of the intuitionistic fuzzy number and then proposes a basic intuitionistic fuzzy three-factor ratio (IFTR) model. To present DMs’ risk preferences, this paper constructs two extreme IFTR models and describes risk preferences with a risk appetite parameter. For DMs’ alternative preferences, this paper develops a continuous IFTR model in which alternative preferences are fused to calculate the optimal risk appetite parameter. To fully consider DMs’ risk, alternative, and attribute preferences, this paper further proposes a generalized IFTR model. Thus, risk, alternative, and attribute preferences, which can be viewed as the social cognitive information, can be fused in an intuitionistic fuzzy decision-making and group decision-making process simultaneously. An illustrative example to address the problem of demolishing old urban villages is provided to show the effectiveness of the proposed models.

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Funding

This work was supported by the Natural Science Foundation of China [grant numbers 71561026, 71840001].

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Authors and Affiliations

  1. School of Finance, Yunnan University of Finance and Economics, Kunming, 650221, People’s Republic of China

    Wei Zhou

  2. Business School, Sichuan University, Chengdu, 610064, People’s Republic of China

    Wei Zhou & Zeshui Xu

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  1. Wei Zhou
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  2. Zeshui Xu
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Correspondence to Zeshui Xu.

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Zhou, W., Xu, Z. Intuitionistic Fuzzy Three-Factor Ratio Models and Multi-preference Fusion. Cogn Comput 13, 1246–1262 (2021). https://doi.org/10.1007/s12559-021-09928-4

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