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Multi-attribute decision making with generalized fuzzy numbers

Author

Listed:
  • Guangxu Li

    (University of Electronic Science and Technology of China, Chengdu, China)

  • Gang Kou

    (Southwestern University of Finance and Economics, Chengdu, China)

  • Changsheng Lin

    (Yangtze Normal University, Chongqing, China)

  • Liang Xu

    (Southwestern University of Finance and Economics, Chengdu, China)

  • Yi Liao

    (Southwestern University of Finance and Economics, Chengdu, China)

Abstract

This paper proposes a multi-attribute decision-making method with generalized fuzzy numbers (GFNs). In the proposed method, the distance between GFNs is calculated using the Hausdorff distance. Based on the maximizing deviation degree, the attribute weights are determined by a linear programming model. Furthermore, a ranking formula with a modified possibility degree is adopted to rank alternatives. A numerical example is introduced to validate the proposed model, and the results indicate that the proposed model offers a practical and effective way to meet the different assessment requirements of decision makers.

Suggested Citation

  • Guangxu Li & Gang Kou & Changsheng Lin & Liang Xu & Yi Liao, 2015. "Multi-attribute decision making with generalized fuzzy numbers," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(11), pages 1793-1803, November.
    • Handle: RePEc:pal:jorsoc:v:66:y:2015:i:11:p:1793-1803
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    Cited by:

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    2. Honghao Zhang & Yong Peng & Guangdong Tian & Danqi Wang & Pengpeng Xie, 2017. "Green material selection for sustainability: A hybrid MCDM approach," PLOS ONE, Public Library of Science, vol. 12(5), pages 1-26, May.
    3. Jing Wang & Jian-Qiang Wang & Hong-Yu Zhang & Xiao-Hong Chen, 2017. "Distance-Based Multi-Criteria Group Decision-Making Approaches with Multi-Hesitant Fuzzy Linguistic Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 1069-1099, July.
    4. Yongming Song & Jun Hu, 2017. "Vector similarity measures of hesitant fuzzy linguistic term sets and their applications," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-13, December.
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    7. Mustafa Batuhan Ayhan, 2018. "A New Decision Making Approach for Supplier Selection: Hesitant Fuzzy Axiomatic Design," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 1085-1117, July.
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    9. Taewook Huh, 2020. "Comparative and Relational Trajectory of Economic Growth and Greenhouse Gas Emission: Coupled or Decoupled?," Energies, MDPI, vol. 13(10), pages 1-13, May.
    10. Gia Sirbiladze & Otar Badagadze, 2017. "Intuitionistic Fuzzy Probabilistic Aggregation Operators Based on the Choquet Integral: Application in Multicriteria Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 245-279, January.
    11. Peide Liu & Xiaoxiao Liu & Guiying Ma & Zhaolong Liang & Changhai Wang & Fawaz E. Alsaadi, 2020. "A Multi-Attribute Group Decision-Making Method Based on Linguistic Intuitionistic Fuzzy Numbers and Dempster–Shafer Evidence Theory," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(02), pages 499-524, April.
    12. Jie Tang & Qingxian An & Fanyong Meng & Xiaohong Chen, 2017. "A Natural Method for Ranking Objects from Hesitant Fuzzy Preference Relations," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(06), pages 1611-1646, November.
    13. Xunjie Gou & Zeshui Xu & Huchang Liao, 2019. "Hesitant Fuzzy Linguistic Possibility Degree-Based Linear Assignment Method for Multiple Criteria Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 35-63, January.
    14. Guodong Yu & Li Zhang & Huiping Sun, 2018. "A Method for Partner Selection of Supply Chain Using Interval-Valued Fuzzy Sets — Fuzzy Choquet Integral and Improved Dempster–Shafer Theory," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(06), pages 1777-1804, November.
    15. Gia Sirbiladze & Irina Khutsishvili & Otar Badagadze & Mikheil Kapanadze, 2016. "More Precise Decision-Making Methodology in the Temporalized Body of Evidence. Application in the Information Technology Management," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(06), pages 1469-1502, November.
    16. Gia Sirbiladze, 2016. "New Fuzzy Aggregation Operators Based on the Finite Choquet Integral — Application in the MADM Problem," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 517-551, May.
    17. Gia Sirbiladze & Anna Sikharulidze, 2018. "Extensions of Probability Intuitionistic Fuzzy Aggregation Operators in Fuzzy MCDM/MADM," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 621-655, March.
    18. Taewook Huh & Yunyoung Kim & Jiyoung Hailiey Kim, 2018. "Towards a Green State: A Comparative Study on OECD Countries through Fuzzy-Set Analysis," Sustainability, MDPI, vol. 10(9), pages 1-17, September.
    19. Aleksandras Krylovas & Stanislavas Dadelo & Natalja Kosareva & Edmundas Kazimieras Zavadskas, 2017. "Entropy–KEMIRA Approach for MCDM Problem Solution in Human Resources Selection Task," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(05), pages 1183-1209, September.
    20. Nguyen Dinh Hoa Cuong & Ngamnij Arch-Int & Somjit Arch-Int, 2018. "FUSE: A Fuzzy-Semantic Framework for Personalizing Learning Recommendations," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 1173-1201, July.
    21. Shaher H. Zyoud & Daniela Fuchs-Hanusch, 2019. "Comparison of Several Decision-Making Techniques: A Case of Water Losses Management in Developing Countries," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 1551-1578, September.

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