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Multiattribute Group Decision Making Methods Based on Linguistic Intuitionistic Fuzzy Power Bonferroni Mean Operators

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  • Peide Liu
  • Xi Liu

Abstract

This paper focuses on the multiattribute group decision making problems with linguistic intuitionistic fuzzy information. Firstly the concept of linguistic intuitionistic fuzzy numbers (LIFNs) is introduced, and then based on the LIFNs, some new aggregation operators based on Bonferroni mean and power operator are proposed, such as linguistic intuitionistic fuzzy power Bonferroni mean (LIFPBM) operator, linguistic intuitionistic fuzzy weighted power Bonferroni mean (LIFWPBM) operator, linguistic intuitionistic fuzzy geometric power Bonferroni mean (LIFGPBM) operator, and linguistic intuitionistic fuzzy weighted geometric power Bonferroni mean (LIFWGPBM) operator. Then, some properties are proved such as idempotency, permutation, and boundedness. Besides, some special situations of the operators are explored. After that, an approach based of the LIFWGPBM and LIFWGPBM operators is proposed. Finally an example is used to illustrate the validity of the developed method.

Suggested Citation

  • Peide Liu & Xi Liu, 2017. "Multiattribute Group Decision Making Methods Based on Linguistic Intuitionistic Fuzzy Power Bonferroni Mean Operators," Complexity, Hindawi, vol. 2017, pages 1-15, January.
    • Handle: RePEc:hin:complx:3571459
    DOI: 10.1155/2017/3571459
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    References listed on IDEAS

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    1. Peide Liu & Li He & Xiaocun Yu, 2016. "Generalized Hybrid Aggregation Operators Based on the 2-Dimension Uncertain Linguistic Information for Multiple Attribute Group Decision Making," Group Decision and Negotiation, Springer, vol. 25(1), pages 103-126, January.
    2. Wei Zhou & Jian-min He, 2012. "Intuitionistic Fuzzy Normalized Weighted Bonferroni Mean and Its Application in Multicriteria Decision Making," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-22, September.
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    Cited by:

    1. Jianghong Zhu & Bin Shuai & Rui Wang & Kwai-Sang Chin, 2019. "Risk Assessment for Failure Mode and Effects Analysis Using the Bonferroni Mean and TODIM Method," Mathematics, MDPI, vol. 7(6), pages 1-17, June.
    2. Fu, Chao & Chang, Wenjun & Xue, Min & Yang, Shanlin, 2019. "Multiple criteria group decision making with belief distributions and distributed preference relations," European Journal of Operational Research, Elsevier, vol. 273(2), pages 623-633.
    3. Kamal Kumar & Harish Garg, 2018. "Prioritized Linguistic Interval-Valued Aggregation Operators and Their Applications in Group Decision-Making Problems," Mathematics, MDPI, vol. 6(10), pages 1-26, October.
    4. Mingwei Lin & Jiuhan Wei & Zeshui Xu & Riqing Chen, 2018. "Multiattribute Group Decision-Making Based on Linguistic Pythagorean Fuzzy Interaction Partitioned Bonferroni Mean Aggregation Operators," Complexity, Hindawi, vol. 2018, pages 1-24, November.
    5. Yuchu Qin & Xiaolan Cui & Meifa Huang & Yanru Zhong & Zhemin Tang & Peizhi Shi, 2019. "Archimedean Muirhead Aggregation Operators of q-Rung Orthopair Fuzzy Numbers for Multicriteria Group Decision Making," Complexity, Hindawi, vol. 2019, pages 1-33, December.

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