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Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital

Author

Listed:
  • Yanran Hong

    (School of Science, Southwest Petroleum University, Chengdu 610500, China)

  • Dongsheng Xu

    (School of Science, Southwest Petroleum University, Chengdu 610500, China
    School of Economics and Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, China)

  • Kaili Xiang

    (School of Economics and Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, China)

  • Han Qiao

    (School of Science, Southwest Petroleum University, Chengdu 610500, China)

  • Xiangxiang Cui

    (School of Science, Southwest Petroleum University, Chengdu 610500, China)

  • Huaxiang Xian

    (School of Science, Southwest Petroleum University, Chengdu 610500, China)

Abstract

Fuzzy information in venture capital can be well expressed by neutrosophic numbers, and TODIM method is an effective tool for multi-attribute decision-making. The distance measure is an essential step in TODIM method. The keystone of this paper is to define several new distance measures, in particular the improved interval neutrosophic Euclidean distance, and these measures are applied in the TODIM method for multi-attribute decision-making. Firstly, the normalized generalized interval neutrosophic Hausdorff distance is defined and proved to be valid in this paper. Secondly, we define a weighted parameter interval neutrosophic distance and discuss whether different weight parameters affect the decision result based on TODIM method. Thirdly, considering the preference perspective of decision-makers in behavioral economics, we define the improved interval neutrosophic Euclidean distance with the known parameter of risk preference. Finally, an application example is given to compare the effects of different parameters on the result and discuss the feasibility of these two distance measures in TODIM method.

Suggested Citation

  • Yanran Hong & Dongsheng Xu & Kaili Xiang & Han Qiao & Xiangxiang Cui & Huaxiang Xian, 2019. "Multi-Attribute Decision-Making Based on Preference Perspective with Interval Neutrosophic Sets in Venture Capital," Mathematics, MDPI, vol. 7(3), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:257-:d:213226
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    References listed on IDEAS

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    2. Huan Zhou & Jian-qiang Wang & Hong-yu Zhang, 2018. "Multi-criteria decision-making approaches based on distance measures for linguistic hesitant fuzzy sets," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(5), pages 661-675, May.
    3. Chunfang Liu & YueSheng Luo, 2016. "The Weighted Distance Measure Based Method to Neutrosophic Multiattribute Group Decision Making," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-8, May.
    4. Yun Kang & Shunxiang Wu & Da Cao & Wei Weng, 2018. "New hesitation-based distance and similarity measures on intuitionistic fuzzy sets and their applications," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(4), pages 783-799, March.
    5. Maria Rosaria Guarini & Fabrizio Battisti & Anthea Chiovitti, 2018. "A Methodology for the Selection of Multi-Criteria Decision Analysis Methods in Real Estate and Land Management Processes," Sustainability, MDPI, vol. 10(2), pages 1-28, February.
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    Cited by:

    1. Zhaoyu Cao & Yucheng Zou & Xu Zhao & Kairong Hong & Yanwei Zhang, 2021. "Multidimensional Fairness Equilibrium Evaluation of Urban Housing Expropriation Compensation Based on VIKOR," Mathematics, MDPI, vol. 9(4), pages 1-26, February.

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