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Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS method for multi-criteria group decision making

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  • Joshi, Deepa
  • Kumar, Sanjay

Abstract

Inter-dependency among the decision criteria and difficulty of establishing a common membership grade are two important issues to be addressed in multi-criteria group decision making (MCGDM) problems in the environment of uncertainty. The main purpose of this paper is to define the Choquet integral operator for interval-valued intuitionistic hesitant fuzzy sets (IVIHFS) and to extend the technique for order preference by similarity to ideal solution (TOPSIS) method using Choquet integral operator in interval-valued intuitionistic hesitant fuzzy environment. In the present study we define interval-valued intuitionistic hesitant fuzzy Choquet integral (IVIHFCI) operator and extend the definition of hamming distance for the elements of IVIHFS. Using IVIHFCI operator and hamming distance for IVIHFS, we extend TOPSIS method for MCGDM for interval-valued intuitionistic hesitant fuzzy environment considering the interaction phenomena among the decision criteria. An illustrative example has also been taken in the present study to understand the proposed method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:248:y:2016:i:1:p:183-191
    DOI: 10.1016/j.ejor.2015.06.047
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    1. Chun, Young H., 2015. "Multi-attribute sequential decision problem with optimizing and satisficing attributes," European Journal of Operational Research, Elsevier, vol. 243(1), pages 224-232.
    2. Ahn, Byeong Seok, 2011. "Compatible weighting method with rank order centroid: Maximum entropy ordered weighted averaging approach," European Journal of Operational Research, Elsevier, vol. 212(3), pages 552-559, August.
    3. 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.
    4. Wang, Xiaoting & Triantaphyllou, Evangelos, 2008. "Ranking irregularities when evaluating alternatives by using some ELECTRE methods," Omega, Elsevier, vol. 36(1), pages 45-63, February.
    5. Christophe Labreuche & Michel Grabisch, 2003. "The Choquet integral for the aggregation of interval scales in multicriteria decision making," Post-Print hal-00272090, HAL.
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    15. Runtong Zhang & Yuping Xing & Jun Wang & Xiaopu Shang & Xiaomin Zhu, 2018. "A Novel Multiattribute Decision-Making Method Based on Point–Choquet Aggregation Operators and Its Application in Supporting the Hierarchical Medical Treatment System in China," IJERPH, MDPI, vol. 15(8), pages 1-29, August.
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    17. Yanmin Liu & Hua Zhao & Zeshui Xu, 2018. "The chain and substitution rules of interval-valued intuitionistic fuzzy calculus," Fuzzy Optimization and Decision Making, Springer, vol. 17(3), pages 265-285, September.
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    19. Roman Vavrek, 2019. "Evaluation of the Impact of Selected Weighting Methods on the Results of the TOPSIS Technique," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 1821-1843, November.
    20. Yelin Fu & Kong Xiangtianrui & Hao Luo & Lean Yu, 2020. "Constructing Composite Indicators with Collective Choice and Interval-Valued TOPSIS: The Case of Value Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 152(1), pages 117-135, November.
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