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The Likelihood Ranking Methods for Interval Type-2 Fuzzy Sets Considering Risk Preferences

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  • Meng Zhao
  • Song-song Qin
  • Qi-wang Li
  • Fu-qiang Lu
  • Zhe Shen

Abstract

This paper proposes a ranking method that considers the risk preferences of decision makers for multiple-attribute decision-making problems in a multiple-interval type-2 trapezoidal fuzzy set environment. First, decision makers are classified according to the risk preferences and a measurement method of risk preferences is proposed. Second, a risk preference decision matrix is obtained and a new calculation formula of likelihood is defined. Finally, we obtain the ranking results of alternatives by calculating the signed distance. Our example analysis shows that the proposed method is scientific and reasonable, and different risk preferences influence the results of decision making. Comparison with previous methods shows that the proposed algorithm is more feasible; it is applicable for decision making on both risk preferences and risk conservation.

Suggested Citation

  • Meng Zhao & Song-song Qin & Qi-wang Li & Fu-qiang Lu & Zhe Shen, 2015. "The Likelihood Ranking Methods for Interval Type-2 Fuzzy Sets Considering Risk Preferences," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-12, September.
    • Handle: RePEc:hin:jnlmpe:680635
    DOI: 10.1155/2015/680635
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    Cited by:

    1. Pasura Aungkulanon & Walailak Atthirawong & Woranat Sangmanee & Pongchanun Luangpaiboon, 2023. "Fuzzy Techniques and Adjusted Mixture Design-Based Scenario Analysis in the CLMV (Cambodia, Lao PDR, Myanmar and Vietnam) Subregion for Multi-Criteria Decision Making in the Apparel Industry," Mathematics, MDPI, vol. 11(23), pages 1-32, November.
    2. Aleksandra Kaczyńska & Piotr Sulikowski & Jarosław Wątróbski & Wojciech Sałabun, 2023. "Enhancing Sustainable Assessment of Electric Vehicles: A Comparative Study of the TOPSIS Technique with Interval Numbers for Uncertainty Management," Energies, MDPI, vol. 16(18), pages 1-17, September.
    3. Dilshad Alghazzawi & Maryam Liaqat & Abdul Razaq & Hanan Alolaiyan & Umer Shuaib & Jia-Bao Liu, 2023. "Selection of Optimal Approach for Cardiovascular Disease Diagnosis under Complex Intuitionistic Fuzzy Dynamic Environment," Mathematics, MDPI, vol. 11(22), pages 1-23, November.
    4. Anna Kędzior & Konrad Kułakowski, 2023. "Multiple-Criteria Heuristic Rating Estimation," Mathematics, MDPI, vol. 11(13), pages 1-19, June.

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