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Application of fuzzy TOPSIS to scoring the negotiation offers in ill-structured negotiation problems

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  • Roszkowska, Ewa
  • Wachowicz, Tomasz

Abstract

In this paper we analyze the applicability of the TOPSIS method to support the process of building the scoring system for negotiation offers in ill-structured negotiations. When discussing the ill-structured negotiation problem we consider two major issues: the imprecisely defined negotiation space, and the vagueness of the negotiator's preferences that cannot be defined by means of crisp values. First we introduce the traditional fuzzy TOPSIS model showing the alternative ways of normalizing the data and measuring the distances, which allows to avoid the problem of ranking reversals. Then we formalize ill-structured negotiations using a model which allows the negotiation problem to be defined in a simplified way by means of the aspiration and reservation levels only. Such a definition requires changes in the traditional fuzzy TOPSIS algorithm the development of a mechanism for scoring the offers that fall outside of the negotiation space defined independently and subjectively by the negotiator. We propose three different approaches to handle this problem, that keep the scoring system stable and unchanged throughout the whole negotiation process.

Suggested Citation

  • Roszkowska, Ewa & Wachowicz, Tomasz, 2015. "Application of fuzzy TOPSIS to scoring the negotiation offers in ill-structured negotiation problems," European Journal of Operational Research, Elsevier, vol. 242(3), pages 920-932.
    • Handle: RePEc:eee:ejores:v:242:y:2015:i:3:p:920-932
    DOI: 10.1016/j.ejor.2014.10.050
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    2. Ewa Roszkowska & Marzena Filipowicz-Chomko & Tomasz Wachowicz, 2020. "Using individual and common reference points to measure the performance of alternatives in multiple criteria evaluation," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(3), pages 77-96.
    3. He, Shawei, 2022. "A time sensitive graph model for conflict resolution with application to international air carbon negotiation," European Journal of Operational Research, Elsevier, vol. 302(2), pages 652-670.
    4. Muhammad Akram & Maham Arshad, 2019. "A Novel Trapezoidal Bipolar Fuzzy TOPSIS Method for Group Decision-Making," Group Decision and Negotiation, Springer, vol. 28(3), pages 565-584, June.
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    6. Adiel T. Almeida & Tomasz Wachowicz, 2017. "Preference Analysis and Decision Support in Negotiations and Group Decisions," Group Decision and Negotiation, Springer, vol. 26(4), pages 649-652, July.
    7. Ewa Roszkowska & Marzena Filipowicz-Chomko, 2020. "Measuring sustainable development in the education area using multi-criteria methods: a case study," 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. 28(4), pages 1219-1241, December.
    8. Urszula Kwast-Kotlarek & Maria Hełdak, 2019. "Evaluation of the Construction and Investment Process of a High-Pressure Gas Pipeline with Use of the Trenchless Method and Open Excavation Method. Analytic Hierarchy Process (AHP)," Sustainability, MDPI, vol. 11(8), pages 1-18, April.
    9. Yasir Ahmed Solangi & Qingmei Tan & Muhammad Waris Ali Khan & Nayyar Hussain Mirjat & Ifzal Ahmed, 2018. "The Selection of Wind Power Project Location in the Southeastern Corridor of Pakistan: A Factor Analysis, AHP, and Fuzzy-TOPSIS Application," Energies, MDPI, vol. 11(8), pages 1-26, July.
    10. Lubiano, María Asunción & Montenegro, Manuel & Sinova, Beatriz & de la Rosa de Sáa, Sara & Gil, María Ángeles, 2016. "Hypothesis testing for means in connection with fuzzy rating scale-based data: algorithms and applications," European Journal of Operational Research, Elsevier, vol. 251(3), pages 918-929.
    11. Joshi, Deepa & Kumar, Sanjay, 2016. "Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS method for multi-criteria group decision making," European Journal of Operational Research, Elsevier, vol. 248(1), pages 183-191.
    12. Sławomir Kalinowski & Aleksandra Łuczak & Adam Koziolek, 2022. "The Social Dimension of Security: The Dichotomy of Respondents’ Perceptions during the COVID-19 Pandemic," Sustainability, MDPI, vol. 14(3), pages 1-20, January.
    13. Leandro Peçanha De Souza & Carlos Francisco Simões Gomes & Alexandre Pinheiro De Barros, 2018. "Implementation of New Hybrid AHP–TOPSIS-2N Method in Sorting and Prioritizing of an it CAPEX Project Portfolio," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 977-1005, July.
    14. Ewa Roszkowska, 2020. "The extention rank ordering criteria weighting methods in fuzzy enviroment," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(2), pages 91-114.
    15. Solangi, Yasir Ahmed & Longsheng, Cheng & Shah, Syed Ahsan Ali, 2021. "Assessing and overcoming the renewable energy barriers for sustainable development in Pakistan: An integrated AHP and fuzzy TOPSIS approach," Renewable Energy, Elsevier, vol. 173(C), pages 209-222.

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