IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v35y2007i5p505-523.html
   My bibliography  Save this article

Aggregation of aggregating modes in MCDM: Synthesis of Type 2 and Level 2 fuzzy sets

Author

Listed:
  • Sevastjanov, P.
  • Figat, P.

Abstract

A new approach to MCDM in a fuzzy setting based on the aggregation of aggregating modes is proposed. The problem of appropriate common scale for representation of objective and subjective criteria is solved using the simple subsethood measure based on [alpha]-cut representation of fuzzy values. To elaborate an appropriate method for such aggregation, we use the synthesis of the tools of Type 2 and Level 2 fuzzy sets. As the result the final assessments of compared alternatives are presented in form of fuzzy-valued membership function defined on the support composed of considered alternatives. To compare obtained fuzzy assessments we use the probabilistic approach to fuzzy values comparison. Well known Tool Steel Material Selection problem is used as the test task.

Suggested Citation

  • Sevastjanov, P. & Figat, P., 2007. "Aggregation of aggregating modes in MCDM: Synthesis of Type 2 and Level 2 fuzzy sets," Omega, Elsevier, vol. 35(5), pages 505-523, October.
  • Handle: RePEc:eee:jomega:v:35:y:2007:i:5:p:505-523
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(05)00119-2
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sevastjanov, P.V. & Róg, P., 2003. "Fuzzy modeling of manufacturing and logistic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(6), pages 569-585.
    2. Sengupta, Atanu & Pal, Tapan Kumar, 2000. "On comparing interval numbers," European Journal of Operational Research, Elsevier, vol. 127(1), pages 28-43, November.
    3. Bana E Costa, Carlos A. & Stewart, Theodor J. & Vansnick, Jean-Claude, 1997. "Multicriteria decision analysis: Some thoughts based on the tutorial and discussion sessions of the ESIGMA meetings," European Journal of Operational Research, Elsevier, vol. 99(1), pages 28-37, May.
    4. Dyckhoff, Harald, 1985. "Basic concepts for a theory of evaluation: Hierarchical aggregation via autodistributive connectives in fuzzy set theory," European Journal of Operational Research, Elsevier, vol. 20(2), pages 221-233, May.
    5. Steuer, Ralph E. & Na, Paul, 2003. "Multiple criteria decision making combined with finance: A categorized bibliographic study," European Journal of Operational Research, Elsevier, vol. 150(3), pages 496-515, November.
    6. Beynon, Malcolm J. & Peel, Michael J. & Tang, Yu-Cheng, 2004. "The application of fuzzy decision tree analysis in an exposition of the antecedents of audit fees," Omega, Elsevier, vol. 32(3), pages 231-244, June.
    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. Wenstøp, Fred & Koppang, Haavard, 2009. "On operations research and value conflicts," Omega, Elsevier, vol. 37(6), pages 1109-1120, December.
    2. Sevastjanov, Pavel & Dymova, Ludmila, 2009. "Stock screening with use of multiple criteria decision making and optimization," Omega, Elsevier, vol. 37(3), pages 659-671, June.
    3. Ahn, Byeong Seok & Park, Haechurl, 2014. "Establishing dominance between strategies with interval judgments of state probabilities," Omega, Elsevier, vol. 49(C), pages 53-59.
    4. Tang, Lixin & Zhao, Yufang, 2008. "Scheduling a single semi-continuous batching machine," Omega, Elsevier, vol. 36(6), pages 992-1004, December.

    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. Dimova, L. & Sevastianov, P. & Sevastianov, D., 2006. "MCDM in a fuzzy setting: Investment projects assessment application," International Journal of Production Economics, Elsevier, vol. 100(1), pages 10-29, March.
    2. Shuang Yao & Donghua Yu & Yan Song & Hao Yao & Yuzhen Hu & Benhai Guo, 2018. "Dry Bulk Carrier Investment Selection through a Dual Group Decision Fusing Mechanism in the Green Supply Chain," Sustainability, MDPI, vol. 10(12), pages 1-19, November.
    3. Gupta, Pankaj & Mittal, Garima & Mehlawat, Mukesh Kumar, 2013. "Expected value multiobjective portfolio rebalancing model with fuzzy parameters," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 190-203.
    4. Rastegar, Narges & Khorram, Esmaile, 2014. "A combined scalarizing method for multiobjective programming problems," European Journal of Operational Research, Elsevier, vol. 236(1), pages 229-237.
    5. Maciej Nowak, 2010. "Interactive Multicriteria Decision Aiding Under Risk—Methods and Applications," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 12(1), pages 69-91, October.
    6. Mikhailov, L., 2004. "A fuzzy approach to deriving priorities from interval pairwise comparison judgements," European Journal of Operational Research, Elsevier, vol. 159(3), pages 687-704, December.
    7. Carlin C. F. Chu & Simon S. W. Li, 2024. "A multiobjective optimization approach for threshold determination in extreme value analysis for financial time series," Computational Management Science, Springer, vol. 21(1), pages 1-14, June.
    8. Majumdar, J. & Bhunia, A.K., 2007. "Elitist genetic algorithm for assignment problem with imprecise goal," European Journal of Operational Research, Elsevier, vol. 177(2), pages 684-692, March.
    9. Bana e Costa, Carlos A. & Nunes da Silva, Fernando & Vansnick, Jean-Claude, 2001. "Conflict dissolution in the public sector: A case-study," European Journal of Operational Research, Elsevier, vol. 130(2), pages 388-401, April.
    10. Carayannis, Elias G. & Ferreira, Fernando A.F. & Bento, Paulo & Ferreira, João J.M. & Jalali, Marjan S. & Fernandes, Bernardo M.Q., 2018. "Developing a socio-technical evaluation index for tourist destination competitiveness using cognitive mapping and MCDA," Technological Forecasting and Social Change, Elsevier, vol. 131(C), pages 147-158.
    11. Ho, William, 2008. "Integrated analytic hierarchy process and its applications - A literature review," European Journal of Operational Research, Elsevier, vol. 186(1), pages 211-228, April.
    12. Bruno M. B. Pinto & Fernando A. F. Ferreira & Ronald W. Spahr & Mark A. Sunderman & Leandro F. Pereira, 2023. "Analyzing causes of urban blight using cognitive mapping and DEMATEL," Annals of Operations Research, Springer, vol. 325(2), pages 1083-1110, June.
    13. Qi, Yue & Liao, Kezhi & Liu, Tongyang & Zhang, Yu, 2022. "Originating multiple-objective portfolio selection by counter-COVID measures and analytically instigating robust optimization by mean-parameterized nondominated paths," Operations Research Perspectives, Elsevier, vol. 9(C).
    14. Yeudiel Lara Moreno & Carlos Ignacio Hernández Castellanos, 2024. "A Hierarchical Approach to a Tri-Objective Portfolio Optimization Problem Considering an ESG Index," Mathematics, MDPI, vol. 12(19), pages 1-16, October.
    15. Altannar Chinchuluun & Panos Pardalos, 2007. "A survey of recent developments in multiobjective optimization," Annals of Operations Research, Springer, vol. 154(1), pages 29-50, October.
    16. Li, Mo & Fu, Qiang & Singh, Vijay P. & Liu, Dong & Li, Jiang, 2020. "Optimization of sustainable bioenergy production considering energy-food-water-land nexus and livestock manure under uncertainty," Agricultural Systems, Elsevier, vol. 184(C).
    17. Al-Ebbini, Lina & Oztekin, Asil & Chen, Yao, 2016. "FLAS: Fuzzy lung allocation system for US-based transplantations," European Journal of Operational Research, Elsevier, vol. 248(3), pages 1051-1065.
    18. Hayashi, Kiyotada, 1998. "Multicriteria aid for agricultural decisions using preference relations: methodology and application," Agricultural Systems, Elsevier, vol. 58(4), pages 483-503, December.
    19. Zhang-peng Tian & Hong-yu Zhang & Jing Wang & Jian-qiang Wang & Xiao-hong Chen, 2016. "Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(15), pages 3598-3608, November.
    20. Marchioni, Andrea & Magni, Carlo Alberto, 2018. "Investment decisions and sensitivity analysis: NPV-consistency of rates of return," European Journal of Operational Research, Elsevier, vol. 268(1), pages 361-372.

    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:eee:jomega:v:35:y:2007:i:5:p:505-523. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    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.