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A New Method Of Assessment Based On Fuzzy Ranking And Aggregated Weights (Afraw) For Mcdm Problems Under Type-2 Fuzzy Environment

Author

Listed:
  • Mehdi KESHAVARZ GHORABAEE

    (Department of Industrial Management, Faculty of Management and Accounting, AllamehTabataba’i University, Tehran, Iran)

  • Edmundas Kazimieras ZAVADSKAS

    (Department of Construction Technology and Management, Faculty of Civil Engineering, Vilnius Gediminas Technical University, Lithuania)

  • Maghsoud AMIRI

    (Department of Industrial Management, Faculty of Management and Accounting,AllamehTabataba’i University, Tehran, Iran)

  • Jurgita ANTUCHEVICIENE

    (Department of Construction Technology and Management, Faculty of Civil Engineering, Vilnius Gediminas Technical University, Lithuania)

Abstract

Fuzzy multi-criteria decision-making (MCDM) methods and problems have increasingly been considered in the past years. Type-1 fuzzy sets are usually used by decision-makers (DMs) to express their evaluations in the process of decision-making. Interval type-2 fuzzy sets (IT2FSs), which are extensions of type-1 fuzzy sets, have more degrees of flexibility in modeling of uncertainty. In this research, a new ranking method to calculate the ranking values of interval type-2 fuzzy sets is proposed. A comparison is performed to show the efficiency of this ranking method. Using the proposed ranking method and the arithmetic operations of IT2FSs, a new method of Assessment based on Fuzzy Ranking and Aggregated Weights (AFRAW)is developed for multi-criteria group decision-making. To obtain more realistic and practical weights for the criteria, the subjective weights expressed by DMs and objective weights calculated based on a deviation-based method are combined, and the aggregated weights are used in the proposed method. A numerical example related to assessment of suppliers in a supply chain and selecting the best one is used to illustrate the procedure of the proposed method. Moreover, a comparison and a sensitivity analysis are performed in this study. The results of these analyses show the validity and stability of the proposed method.

Suggested Citation

  • Mehdi KESHAVARZ GHORABAEE & Edmundas Kazimieras ZAVADSKAS & Maghsoud AMIRI & Jurgita ANTUCHEVICIENE, 2016. "A New Method Of Assessment Based On Fuzzy Ranking And Aggregated Weights (Afraw) For Mcdm Problems Under Type-2 Fuzzy Environment," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(1), pages 39-68.
    • Handle: RePEc:cys:ecocyb:v:50:y:2016:i:1:p:39-68
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    References listed on IDEAS

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    1. Chen, Ting-Yu & Chang, Chien-Hung & Rachel Lu, Jui-fen, 2013. "The extended QUALIFLEX method for multiple criteria decision analysis based on interval type-2 fuzzy sets and applications to medical decision making," European Journal of Operational Research, Elsevier, vol. 226(3), pages 615-625.
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    3. Ana Nieto-Morote & Francisco Ruz-Vila, 2011. "A Fuzzy Ahp Multi-Criteria Decision-Making Approach Applied To Combined Cooling, Heating, And Power Production Systems," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 497-517.
    4. Celik, Erkan & Bilisik, Ozge Nalan & Erdogan, Melike & Gumus, Alev Taskin & Baracli, Hayri, 2013. "An integrated novel interval type-2 fuzzy MCDM method to improve customer satisfaction in public transportation for Istanbul," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 58(C), pages 28-51.
    5. Zhi-Xin Su, 2011. "A Hybrid Fuzzy Approach To Fuzzy Multi-Attribute Group Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 695-711.
    6. Chin-Tsai Lin & Chuan Lee & Cheng-Shiung Wu, 2010. "Fuzzy Group Decision Making In Pursuit Of A Competitive Marketing Strategy," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 281-300.
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    Cited by:

    1. Deyun Zhou & Yongchuan Tang & Wen Jiang, 2017. "An Improved Belief Entropy and Its Application in Decision-Making," Complexity, Hindawi, vol. 2017, pages 1-15, March.
    2. Joan Carles FERRER-COMALAT & Salvador LINARES-MUSTAROS & Dolors COROMINAS-COLL, 2016. "A Model For Optimal Investment Project Choice Using Fuzzy Probability," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(4), pages 187-203.

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    More about this item

    Keywords

    MCDM; interval type-2 fuzzy sets; fuzzy ranking method; multi-criteria group decision-making; AFRAW.;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • L6 - Industrial Organization - - Industry Studies: Manufacturing

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