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Projection Models For Intuitionistic Fuzzy Multiple Attribute Decision Making

Author

Listed:
  • ZESHUI XU

    (School of Economics and Management, Southeast University, Nanjing, Jiangsu 210096, P. R. China)

  • HUI HU

    (Institute of Communications Engineering, PLA University of Sciences and Technology, Nanjing, Jiangsu 210007, P. R. China)

Abstract

The aim of this paper is to investigate the intuitionistic fuzzy multiple attribute decision-making problems where the attribute values are expressed in intuitionistic fuzzy numbers or interval-valued intuitionistic fuzzy numbers. We introduce some notions, such as intuitionistic fuzzy ideal point, interval-valued intuitionistic fuzzy ideal point, the modules of intuitionistic fuzzy numbers, and interval-valued intuitionistic fuzzy numbers. We also introduce the cosine of the included angle between the attribute value vectors of each alternative and the intuitionistic fuzzy ideal point, and the cosine of the included angle between the attribute value vectors of each alternative and the interval-valued intuitionistic fuzzy ideal point. Then we establish two projection models to measure the similarity degrees between each alternative and the intuitionistic fuzzy ideal point, and between each alternative and the interval-valued intuitionistic fuzzy ideal point. Based on the projection models, we can rank the given alternatives and then select the most desirable one. Finally, we illustrate the developed projection models with a numerical example.

Suggested Citation

  • Zeshui Xu & Hui Hu, 2010. "Projection Models For Intuitionistic Fuzzy Multiple Attribute Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 267-280.
    • Handle: RePEc:wsi:ijitdm:v:09:y:2010:i:02:n:s0219622010003816
    DOI: 10.1142/S0219622010003816
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    Cited by:

    1. Na Li & Harish Garg & Lei Wang, 2019. "Some Novel Interactive Hybrid Weighted Aggregation Operators with Pythagorean Fuzzy Numbers and Their Applications to Decision Making," Mathematics, MDPI, vol. 7(12), pages 1-25, November.
    2. Zeb, Aurang & Ahmad, Waseem & Asif, Muhammad & Simic, Vladimir & Senapati, Tapan & Hou, Muzhou, 2024. "Optimizing decision-making in electric power system selection: A generalized approach based on Hamacher aggregation operators for q-rung orthopair fuzzy soft sets," Applied Energy, Elsevier, vol. 367(C).
    3. Tuyet Thi Anh Nguyen & Shuo-Yan Chou, 2022. "Fusion of interval-valued neutrosophic sets and financial assessment for optimal renewable energy portfolios with uncertainties," Energy & Environment, , vol. 33(4), pages 783-808, June.
    4. Chunqiao Tan & Xiaohong Chen, 2016. "Generalized Archimedean Intuitionistic Fuzzy Averaging Aggregation Operators and their Application to Multicriteria Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 311-352, March.
    5. Qin, Quande & Liang, Fuqi & Li, Li & Wei, Yi-Ming, 2017. "Selection of energy performance contracting business models: A behavioral decision-making approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 72(C), pages 422-433.
    6. Wang Feng, 2019. "Aggregation Similarity Measure Based on Hesitant Fuzzy Closeness Degree and Its Application to Clustering Analysis," Journal of Systems Science and Information, De Gruyter, vol. 7(1), pages 70-89, February.
    7. Mohsen Ahmadi, 2021. "A Computational Approach to Uncovering Economic Growth Factors," Computational Economics, Springer;Society for Computational Economics, vol. 58(4), pages 1051-1076, December.
    8. Runtong Zhang & Jun Wang & Xiaomin Zhu & Meimei Xia & Ming Yu, 2017. "Some Generalized Pythagorean Fuzzy Bonferroni Mean Aggregation Operators with Their Application to Multiattribute Group Decision-Making," Complexity, Hindawi, vol. 2017, pages 1-16, August.
    9. Sujit Kumar De & Shib Sankar Sana, 2018. "The (p, q, r, l) model for stochastic demand under Intuitionistic fuzzy aggregation with Bonferroni mean," Journal of Intelligent Manufacturing, Springer, vol. 29(8), pages 1753-1771, December.
    10. Cen Zuo & Anita Pal & Arindam Dey, 2019. "New Concepts of Picture Fuzzy Graphs with Application," Mathematics, MDPI, vol. 7(5), pages 1-18, May.
    11. Yang Liu & Jian-Wu Bi & Zhi-Ping Fan, 2017. "A Method for Ranking Products Through Online Reviews Based on Sentiment Classification and Interval-Valued Intuitionistic Fuzzy TOPSIS," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(06), pages 1497-1522, November.
    12. Hu, Kejia & Tan, Qian & Zhang, Tianyuan & Wang, Shuping, 2020. "Assessing technology portfolios of clean energy-driven desalination-irrigation systems with interval-valued intuitionistic fuzzy sets," Renewable and Sustainable Energy Reviews, Elsevier, vol. 132(C).
    13. Deng-Feng Li & Shu-Ping Wan, 2017. "Minimum Weighted Minkowski Distance Power Models for Intuitionistic Fuzzy Madm with Incomplete Weight Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(05), pages 1387-1408, September.
    14. Peide Liu & Lili Zhang & Xi Liu & Peng Wang, 2016. "Multi-Valued Neutrosophic Number Bonferroni Mean Operators with their Applications in Multiple Attribute Group Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1181-1210, September.
    15. Shouzhen Zeng & Jianping Chen & Xingsen Li, 2016. "A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 403-422, March.

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