IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-00968057.html
   My bibliography  Save this paper

Bipolar aggregation method for fuzzy nominal classification using Weighted Cardinal Fuzzy Measure (WCFM)

Author

Listed:
  • Ayeley Tchangani

    (LGP - Laboratoire Génie de Production - ENIT - Ecole Nationale d'Ingénieurs de Tarbes - Toulouse INP - Institut National Polytechnique (Toulouse) - UT - Université de Toulouse)

Abstract

The issue of designing a procedure to assign objects (candidates, projects, decisions, options, etc.) characterized by multiple attributes or criteria to predefined classes characterized by fuzzyly defined multiple features, conditions or constraints, is considered in this paper. Such assignment problems are known in the literature as nominal or non ordered classification problems as opposed to ordinal classification in which case classes are ordered according to some desires of decision maker(s). Because of the importance of these problems in many domains such as social, economics, medical, engineering, mangement etc., there is a need to design sound and appropriate evaluation algorithms and methods to deal with them. In this paper we will consider an approach based on an evaluation strategy that consists in aggregating separately elements that act in the same sens (either contributing to the exlusion of a class from assignment or its consideration for inclusion given an object) that we refer to as bipolar analysis. Then, relying on the fact that elements to aggregate have synergetic relationships (they are complementary), we propose to use Choquet integral as the appropriate aggregation operator with a proposed fuzzy measure or capacity known as weighted cardinal fuzzy measure (WCFM) which tractability permits to overcome dificulties that dissuade the use of Choquet integral in practices. Furthermore, bipolar property results in evaluation by two degrees: classifiability measure that measures to what extent an object can be considered for inclusion in a class and rejectability measure, a degree that measures the extent to which one must avoid including an object to a class rendering final choice flexible as many classes may be qualified for inclusion of an object. Application of this approach to a real world problem in the domain of banking has shown a real potentiality.

Suggested Citation

  • Ayeley Tchangani, 2013. "Bipolar aggregation method for fuzzy nominal classification using Weighted Cardinal Fuzzy Measure (WCFM)," Post-Print hal-00968057, HAL.
    • Handle: RePEc:hal:journl:hal-00968057
    Note: View the original document on HAL open archive server: https://hal.science/hal-00968057
    as

    Download full text from publisher

    File URL: https://hal.science/hal-00968057/document
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Patrice Perny, 1998. "Multicriteria filtering methods based onconcordance and non-discordance principles," Annals of Operations Research, Springer, vol. 80(0), pages 137-165, January.
    2. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1984. "Prométhée: a new family of outranking methods in multicriteria analysis," ULB Institutional Repository 2013/9305, ULB -- Universite Libre de Bruxelles.
    3. Leger, Julien & Martel, Jean-Marc, 2002. "A multicriteria assignment procedure for a nominal sorting problematic," European Journal of Operational Research, Elsevier, vol. 138(2), pages 349-364, April.
    4. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1986. "How to select and how to rank projects: the Prométhée method," ULB Institutional Repository 2013/9307, ULB -- Universite Libre de Bruxelles.
    5. Brans, J. P. & Vincke, Ph. & Mareschal, B., 1986. "How to select and how to rank projects: The method," European Journal of Operational Research, Elsevier, vol. 24(2), pages 228-238, February.
    6. Grabisch, Michel, 1996. "The application of fuzzy integrals in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 89(3), pages 445-456, March.
    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. Martina Kuncova & Jana Seknickova, 2022. "Two-stage weighted PROMETHEE II with results’ visualization," 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. 30(2), pages 547-571, June.
    2. Zohre Hoseinzade & Asal Zavarei & Kourosh Shirani, 2021. "Application of prediction–area plot in the assessment of MCDM methods through VIKOR, PROMETHEE II, and permutation," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 109(3), pages 2489-2507, December.
    3. Willem Brauers, 2013. "Multi-objective seaport planning by MOORA decision making," Annals of Operations Research, Springer, vol. 206(1), pages 39-58, July.
    4. Wolters, W. T. M. & Mareschal, B., 1995. "Novel types of sensitivity analysis for additive MCDM methods," European Journal of Operational Research, Elsevier, vol. 81(2), pages 281-290, March.
    5. Mareschal, Bertrand & Mertens, Daniel, 1993. "Évaluation financière par la méthode multicritère GAIA : application au secteur de l’assurance en Belgique," L'Actualité Economique, Société Canadienne de Science Economique, vol. 69(1), pages 206-228, mars.
    6. Shokoufeh Pourshahabi & Nasser Talebbeydokhti & Gholamreza Rakhshandehroo & Mohammad Reza Nikoo, 2018. "Spatio-Temporal Multi-Criteria Optimization of Reservoir Water Quality Monitoring Network Using Value of Information and Transinformation Entropy," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(10), pages 3489-3504, August.
    7. Irina Vinogradova, 2019. "Multi-Attribute Decision-Making Methods as a Part of Mathematical Optimization," Mathematics, MDPI, vol. 7(10), pages 1-21, October.
    8. Thyago C. C. Nepomuceno & Cinzia Daraio & Ana Paula C. S. Costa, 2021. "Multicriteria Ranking for the Efficient and Effective Assessment of Police Departments," Sustainability, MDPI, vol. 13(8), pages 1-15, April.
    9. Castillo Manzano Jose Ignacio & Maria Teresa Arevalo Quijada & Maria Mercedes Castro Nuño, 2004. "Economic evaluation of the spanish port system using the promethee multicriteria decision method," ERSA conference papers ersa04p647, European Regional Science Association.
    10. Pinto, Maria Cristina & Crespi, Giulia & Dell'Anna, Federico & Becchio, Cristina, 2023. "Combining energy dynamic simulation and multi-criteria analysis for supporting investment decisions on smart shading devices in office buildings," Applied Energy, Elsevier, vol. 332(C).
    11. Raveh, Adi, 2000. "Co-plot: A graphic display method for geometrical representations of MCDM," European Journal of Operational Research, Elsevier, vol. 125(3), pages 670-678, September.
    12. De Keyser, Wim & Peeters, Peter, 1996. "A note on the use of PROMETHEE multicriteria methods," European Journal of Operational Research, Elsevier, vol. 89(3), pages 457-461, March.
    13. Corrente, S. & Figueira, J.R. & Greco, S., 2021. "Pairwise comparison tables within the deck of cards method in multiple criteria decision aiding," European Journal of Operational Research, Elsevier, vol. 291(2), pages 738-756.
    14. Katarzyna Solecka & Katarzyna Nosal Hoy, 2022. "Using the PROMETHEE II Method for the Assessment of Recreational and Tourist Cycle Routes," European Research Studies Journal, European Research Studies Journal, vol. 0(1), pages 820-845.
    15. Araz, Ceyhun & Ozkarahan, Irem, 2007. "Supplier evaluation and management system for strategic sourcing based on a new multicriteria sorting procedure," International Journal of Production Economics, Elsevier, vol. 106(2), pages 585-606, April.
    16. Majid Baseer & Christian Ghiaus & Roxane Viala & Ninon Gauthier & Souleymane Daniel, 2023. "pELECTRE-Tri: Probabilistic ELECTRE-Tri Method—Application for the Energy Renovation of Buildings," Energies, MDPI, vol. 16(14), pages 1-25, July.
    17. Rezaei, Jafar, 2015. "Best-worst multi-criteria decision-making method," Omega, Elsevier, vol. 53(C), pages 49-57.
    18. Tsuen-Ho Hsu & Ling-Zhong Lin, 2014. "Using Fuzzy Preference Method for Group Package Tour Based on the Risk Perception," Group Decision and Negotiation, Springer, vol. 23(2), pages 299-323, March.
    19. Yang, Chih-Hao & Lee, Kuen-Chang, 2020. "Developing a strategy map for forensic accounting with fraud risk management: An integrated balanced scorecard-based decision model," Evaluation and Program Planning, Elsevier, vol. 80(C).
    20. Goswami Shankha Shubhra, 2020. "Outranking Methods: Promethee I and Promethee II," Foundations of Management, Sciendo, vol. 12(1), pages 93-110, January.

    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:hal:journl:hal-00968057. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.