IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i3p257-d213226.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/3/257/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/3/257/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Juan-juan Peng & Jian-qiang Wang & Xiao-hui Wu & Hong-yu Zhang & Xiao-hong Chen, 2015. "The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-criteria decision-making," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(13), pages 2335-2350, October.
    2. 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.
    3. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mudassar Arsalan & Omar Mubin & Fady Alnajjar & Belal Alsinglawi, 2020. "COVID-19 Global Risk: Expectation vs. Reality," IJERPH, MDPI, vol. 17(15), pages 1-10, August.
    2. Akpan, Uduak & Morimoto, Risako, 2022. "An application of Multi-Attribute Utility Theory (MAUT) to the prioritization of rural roads to improve rural accessibility in Nigeria," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).
    3. Muhammad Asif, 2020. "Role of Energy Conservation and Management in the 4D Sustainable Energy Transition," Sustainability, MDPI, vol. 12(23), pages 1-3, November.
    4. Marttunen, Mika & Haara, Arto & Hjerppe, Turo & Kurttila, Mikko & Liesiö, Juuso & Mustajoki, Jyri & Saarikoski, Heli & Tolvanen, Anne, 2023. "Parallel and comparative use of three multicriteria decision support methods in an environmental portfolio problem," European Journal of Operational Research, Elsevier, vol. 307(2), pages 842-859.
    5. Daikun Wang & Victor Jing Li & Huayi Yu, 2020. "Mass Appraisal Modeling of Real Estate in Urban Centers by Geographically and Temporally Weighted Regression: A Case Study of Beijing’s Core Area," Land, MDPI, vol. 9(5), pages 1-18, May.
    6. Mahmut Baydaş & Dragan Pamučar, 2022. "Determining Objective Characteristics of MCDM Methods under Uncertainty: An Exploration Study with Financial Data," Mathematics, MDPI, vol. 10(7), pages 1-25, March.
    7. Puthearath Chan & Myeong-Hun Lee, 2019. "Developing Sustainable City Indicators for Cambodia through Delphi Processes of Panel Surveys," Sustainability, MDPI, vol. 11(11), pages 1-32, June.
    8. Boris Prevolšek & Aleksandar Maksimović & Adis Puška & Karmen Pažek & Maja Žibert & Črtomir Rozman, 2020. "Sustainable Development of Ethno-Villages in Bosnia and Herzegovina—A Multi Criteria Assessment," Sustainability, MDPI, vol. 12(4), pages 1-18, February.
    9. Punys, P. & Radzevičius, A. & Kvaraciejus, A. & Gasiūnas, V. & Šilinis, L., 2019. "A multi-criteria analysis for siting surface-flow constructed wetlands in tile-drained agricultural catchments: The case of Lithuania," Agricultural Water Management, Elsevier, vol. 213(C), pages 1036-1046.
    10. Zenonas Turskis & Nikolaj Goranin & Assel Nurusheva & Seilkhan Boranbayev, 2019. "A Fuzzy WASPAS-Based Approach to Determine Critical Information Infrastructures of EU Sustainable Development," Sustainability, MDPI, vol. 11(2), pages 1-25, January.
    11. Beriro, Darren & Nathanail, Judith & Salazar, Juan & Kingdon, Andrew & Marchant, Andrew & Richardson, Steve & Gillet, Andy & Rautenberg, Svea & Hammond, Ellis & Beardmore, John & Moore, Terry & Angus,, 2022. "A decision support system to assess the feasibility of onshore renewable energy infrastructure," Renewable and Sustainable Energy Reviews, Elsevier, vol. 168(C).
    12. Małgorzata Fedorczak-Cisak & Anna Kotowicz & Elżbieta Radziszewska-Zielina & Bartłomiej Sroka & Tadeusz Tatara & Krzysztof Barnaś, 2020. "Multi-Criteria Optimisation of an Experimental Complex of Single-Family Nearly Zero-Energy Buildings," Energies, MDPI, vol. 13(7), pages 1-30, March.
    13. Oscar González-Quiroz & Josabel Belliure & Antonio Gómez-Sal, 2021. "Assessing Land Dynamics and Sustainability on the Pacific Coast of Nicaragua: A Method Based on Comprehensive Land Units," Land, MDPI, vol. 10(5), pages 1-20, April.
    14. Adis Puška & Miroslav Nedeljković & Živče Šarkoćević & Zoran Golubović & Vladica Ristić & Ilija Stojanović, 2022. "Evaluation of Agricultural Machinery Using Multi-Criteria Analysis Methods," Sustainability, MDPI, vol. 14(14), pages 1-17, July.
    15. Muhammad Riaz & Hafiz Muhammad Athar Farid & Jurgita Antucheviciene & Gülay Demir, 2023. "Efficient Decision Making for Sustainable Energy Using Single-Valued Neutrosophic Prioritized Interactive Aggregation Operators," Mathematics, MDPI, vol. 11(9), pages 1-29, May.
    16. Valero Alfonso, 2024. "Transforming Megacities: Value and Impacts of Mixed-Use Developments with Multi-Criteria Decision-Making," Real Estate Management and Valuation, Sciendo, vol. 32(2), pages 112-125.
    17. Cinelli, Marco & Kadziński, Miłosz & Gonzalez, Michael & Słowiński, Roman, 2020. "How to support the application of multiple criteria decision analysis? Let us start with a comprehensive taxonomy," Omega, Elsevier, vol. 96(C).
    18. Jedrzej Charlampowicz & Slawomir Skiba, 2023. "Relationship between Various Components of Management in Pomeranian Communes Based on FUZZY-DEMATEL Approach," European Research Studies Journal, European Research Studies Journal, vol. 0(3), pages 197-207.
    19. Majed Albaity & Tahir Mahmood, 2022. "Medical Diagnosis and Pattern Recognition Based on Generalized Dice Similarity Measures for Managing Intuitionistic Hesitant Fuzzy Information," Mathematics, MDPI, vol. 10(15), pages 1-15, August.
    20. Pengyu Chen, 2019. "A Novel Coordinated TOPSIS Based on Coefficient of Variation," Mathematics, MDPI, vol. 7(7), pages 1-17, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:257-:d:213226. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.