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The Interval‐Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application

Author

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  • Ya-ming Shi
  • Jian-min He

Abstract

We investigate and propose two new Bonferroni means, that is, the optimized weighted BM (OWBM) and the generalized optimized weighted BM (GOWBM), whose characteristics are to reflect the preference and interrelationship of the aggregated arguments and can satisfy the basic properties of the aggregation techniques simultaneously. Further, we propose the interval‐valued intuitionistic fuzzy optimized weighted Bonferroni mean (IIFOWBM) and the generalized interval‐valued intuitionistic fuzzy optimized weighted Bonferroni mean (GIIFOWBM) and detailed study of their desirable properties such as idempotency, monotonicity, transformation, and boundary. Finally, based on IIFOWBM and GIIFOWBM, we give an approach to group decision making under the interval‐valued intuitionistic fuzzy environment and utilize a practical case involving the assessment of a set of agroecological regions in Hubei Province, China, to illustrate the developed methods.

Suggested Citation

  • Ya-ming Shi & Jian-min He, 2013. "The Interval‐Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:981762
    DOI: 10.1155/2013/981762
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    References listed on IDEAS

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    1. Wei Zhou & Jian-min He, 2012. "Intuitionistic Fuzzy Normalized Weighted Bonferroni Mean and Its Application in Multicriteria Decision Making," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    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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