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IFPBMs and their application to multiple attribute group decision making

Author

Listed:
  • Yingdong He

    (College of Management and Economics, Tianjin University, Tianjin, China)

  • Zhen He

    (College of Management and Economics, Tianjin University, Tianjin, China)

  • Yujia Deng

    (College of Management and Economics, Tianjin University, Tianjin, China)

  • Panpan Zhou

    (College of Management and Economics, Tianjin University, Tianjin, China)

Abstract

The Bonferroni mean (BM) had been generalized for its capacity to capture the interrelationship between input arguments. In order to obtain much more information in the process of group decision making, especially in the cases that the relationships between the fused data are considered, this paper combines the power average operator with the intuitionistic fuzzy Bonferroni mean (IFBM) and develops the intuitionistic fuzzy power Bonferroni mean (IFPBM) and the weighted intuitionistic fuzzy power Bonferroni mean (WIFPBM). We investigate the desirable properties of these new extensions of BM and discuss their special cases. We give a comparison of the new extensions of BM with the corresponding existing IFBMs. Furthermore, the detailed steps of multiple attribute group decision making with the presented IFPBM or WIFPBM are given and numerical examples are illustrated to show the validity and feasibility of the new approaches.

Suggested Citation

  • Yingdong He & Zhen He & Yujia Deng & Panpan Zhou, 2016. "IFPBMs and their application to multiple attribute group decision making," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(1), pages 127-147, January.
    • Handle: RePEc:pal:jorsoc:v:67:y:2016:i:1:p:127-147
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    Cited by:

    1. Luu Huu Van & Vincent F. Yu & Luu Quoc Dat & Canh Chi Dung & Shuo-Yan Chou & Nguyen Viet Loc, 2018. "New Integrated Quality Function Deployment Approach Based on Interval Neutrosophic Set for Green Supplier Evaluation and Selection," Sustainability, MDPI, vol. 10(3), pages 1-13, March.
    2. Borut Čampelj & Igor Karnet & Andrej Brodnik & Eva Jereb & Uroš Rajkovič, 2019. "A multi-attribute modelling approach to evaluate the efficient implementation of ICT in schools," 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. 27(3), pages 851-862, September.
    3. Sarfaraz Hashemkhani Zolfani & Edmundas Kazimieras Zavadskas & Payam Khazaelpour & Fausto Cavallaro, 2018. "The Multi-Aspect Criterion in the PMADM Outline and Its Possible Application to Sustainability Assessment," Sustainability, MDPI, vol. 10(12), pages 1-15, November.
    4. Rezaei, Mohsen, 2022. "Prioritization of biodiesel development policies under hybrid uncertainties: A possibilistic stochastic multi-attribute decision-making approach," Energy, Elsevier, vol. 260(C).

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