IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i11p1081-d285255.html
   My bibliography  Save this article

Single-Valued Neutrosophic Power Shapley Choquet Average Operators and Their Applications to Multi-Criteria Decision-Making

Author

Listed:
  • Juan-juan Peng

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Chao Tian

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China
    School of Accounting, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Zhi-qiang Zhang

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Hai-yu Song

    (School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China)

  • Jian-qiang Wang

    (School of Business, Central South University, Changsha 410083, China)

Abstract

Single-valued neutrosophic sets (SVNSs), which involve in truth-membership, indeterminacy-membership and falsity-membership, play a significant role in describing the decision-makers’ preference information. In this study, a single-valued neutrosophic multi-criteria decision-making (MCDM) approach is developed based on Shapley fuzzy measures and power aggregation operator that takes a correlative relationship among criteria into account and also simultaneously reduces the effects of abnormal preference information. Firstly, two aggregation operators, namely, generalized weighted single-valued neutrosophic power Shapley Choquet average (GWSVNPSCA) operator and generalized weighted single-valued neutrosophic power Shapley Choquet geometric (GWSVNPSCG) operator, are accordingly defined, and the corresponding properties are discussed as well. Secondly, based on the proposed aggregation operators, an integrated MCDM approach is proposed to effectively solve single-valued neutrosophic problems where the weight information is incompletely known. A programming model is constructed to obtain the optimal Shapley fuzzy measure. Next, the proposed operators are utilized to aggregate the decision-makers’ preference information. Finally, a theoretical example with tourism attraction selection is provided to examine the efficacy of the developed approach, in which the results is found reasonable and credible.

Suggested Citation

  • Juan-juan Peng & Chao Tian & Zhi-qiang Zhang & Hai-yu Song & Jian-qiang Wang, 2019. "Single-Valued Neutrosophic Power Shapley Choquet Average Operators and Their Applications to Multi-Criteria Decision-Making," Mathematics, MDPI, vol. 7(11), pages 1-27, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1081-:d:285255
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/11/1081/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/11/1081/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. JosÉ Figueira & Salvatore Greco & Matthias Ehrogott, 2005. "Multiple Criteria Decision Analysis: State of the Art Surveys," International Series in Operations Research and Management Science, Springer, number 978-0-387-23081-8, April.
    2. Juan-juan Peng & Jian-qiang Wang & Jing Wang & Hong-yu Zhang & Xiao-hong Chen, 2016. "Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2342-2358, July.
    Full references (including those not matched with items on IDEAS)

    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. Fancello, Giovanna & Tsoukiàs, Alexis, 2021. "Learning urban capabilities from behaviours. A focus on visitors values for urban planning," Socio-Economic Planning Sciences, Elsevier, vol. 76(C).
    2. Bana e Costa, Carlos A. & Oliveira, Carlos S. & Vieira, Victor, 2008. "Prioritization of bridges and tunnels in earthquake risk mitigation using multicriteria decision analysis: Application to Lisbon," Omega, Elsevier, vol. 36(3), pages 442-450, June.
    3. Denys Yemshanov & Frank H. Koch & Yakov Ben‐Haim & Marla Downing & Frank Sapio & Marty Siltanen, 2013. "A New Multicriteria Risk Mapping Approach Based on a Multiattribute Frontier Concept," Risk Analysis, John Wiley & Sons, vol. 33(9), pages 1694-1709, September.
    4. Corrente, Salvatore & Figueira, José Rui & Greco, Salvatore, 2014. "The SMAA-PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 239(2), pages 514-522.
    5. Comino, E. & Ferretti, V., 2016. "Indicators-based spatial SWOT analysis: supporting the strategic planning and management of complex territorial systems," LSE Research Online Documents on Economics 64142, London School of Economics and Political Science, LSE Library.
    6. Kaveh Madani & Laura Read & Laleh Shalikarian, 2014. "Voting Under Uncertainty: A Stochastic Framework for Analyzing Group Decision Making Problems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(7), pages 1839-1856, May.
    7. Kadziński, MiŁosz & Greco, Salvatore & SŁowiński, Roman, 2012. "Extreme ranking analysis in robust ordinal regression," Omega, Elsevier, vol. 40(4), pages 488-501.
    8. Haurant, P. & Oberti, P. & Muselli, M., 2011. "Multicriteria selection aiding related to photovoltaic plants on farming fields on Corsica island: A real case study using the ELECTRE outranking framework," Energy Policy, Elsevier, vol. 39(2), pages 676-688, February.
    9. Growiec, Jakub, 2018. "Factor-specific technology choice," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 1-14.
    10. José M. Merigó & Anna M. Gil-Lafuente & Daniel Palacios-Marqués, 2014. "A new method for fuzzy decision making under risk and uncertainty," International Journal of Business Continuity and Risk Management, Inderscience Enterprises Ltd, vol. 5(1), pages 29-42.
    11. Franceschini, Fiorenzo & Maisano, Domenico, 2015. "Checking the consistency of the solution in ordinal semi-democratic decision-making problems," Omega, Elsevier, vol. 57(PB), pages 188-195.
    12. Bouyssou, Denis & Marchant, Thierry, 2007. "An axiomatic approach to noncompensatory sorting methods in MCDM, II: More than two categories," European Journal of Operational Research, Elsevier, vol. 178(1), pages 246-276, April.
    13. Grabisch, Michel & Kojadinovic, Ivan & Meyer, Patrick, 2008. "A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package," European Journal of Operational Research, Elsevier, vol. 186(2), pages 766-785, April.
    14. Pablo Aragonés‐Beltrán & Mª. Carmen González‐Cruz & Astrid León‐Camargo & Rosario Viñoles‐Cebolla, 2023. "Assessment of regional development needs according to criteria based on the Sustainable Development Goals in the Meta Region (Colombia)," Sustainable Development, John Wiley & Sons, Ltd., vol. 31(2), pages 1101-1121, April.
    15. Boris Yatsalo & Sergey Gritsyuk & Terry Sullivan & Benjamin Trump & Igor Linkov, 2016. "Multi-criteria risk management with the use of DecernsMCDA: methods and case studies," Environment Systems and Decisions, Springer, vol. 36(3), pages 266-276, September.
    16. Juliana Martins Ruzante & Valerie J. Davidson & Julie Caswell & Aamir Fazil & John A. L. Cranfield & Spencer J. Henson & Sven M. Anders & Claudia Schmidt & Jeffrey M. Farber, 2010. "A Multifactorial Risk Prioritization Framework for Foodborne Pathogens," Risk Analysis, John Wiley & Sons, vol. 30(5), pages 724-742, May.
    17. Becchio, Cristina & Bottero, Marta Carla & Corgnati, Stefano Paolo & Dell’Anna, Federico, 2018. "Decision making for sustainable urban energy planning: an integrated evaluation framework of alternative solutions for a NZED (Net Zero-Energy District) in Turin," Land Use Policy, Elsevier, vol. 78(C), pages 803-817.
    18. Tunjo Perić & Zoran Babić & Josip Matejaš, 2018. "Comparative analysis of application efficiency of two iterative multi objective linear programming methods (MP method and STEM method)," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(3), pages 565-583, September.
    19. Morgenroth, Edgar & FitzGerald, John & FitzGerald, John, 2006. "Summary and Conclusions," Book Chapters, in: Morgenroth, Edgar (ed.),Ex-Ante Evaluation of the Investment Priorities for the National Development Plan 2007-2013, chapter 24, pages 317-333, Economic and Social Research Institute (ESRI).
      • Baker, Terence J. & FitzGerald, John & Honohan, Patrick & FitzGerald, John & Honohan, Patrick, 1996. "Summary and Conclusions," Book Chapters, in: Baker, Terence J. (ed.),Economic Implications for Ireland of EMU, chapter 12, pages 339-352, Economic and Social Research Institute (ESRI).
    20. Fernandez, Eduardo & Navarro, Jorge & Bernal, Sergio, 2010. "Handling multicriteria preferences in cluster analysis," European Journal of Operational Research, Elsevier, vol. 202(3), pages 819-827, May.

    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:11:p:1081-:d:285255. 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.