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Multi-criteria decision-making method based on normal intuitionistic fuzzy-induced generalized aggregation operator

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Abstract

Normal intuitionistic fuzzy numbers (NIFNs), which use normal fuzzy numbers to express their membership and non-membership functions, can reflect the evaluation information exactly in different dimensions. In this paper, we are committed to apply NIFNs to multi-criteria decision-making (MCDM) problems, and meanwhile some new aggregation operators are proposed, including normal intuitionistic fuzzy weighted arithmetic averaging operator, normal intuitionistic fuzzy weighted geometric averaging operator, normal intuitionistic fuzzy-induced ordered weighted averaging operator, normal intuitionistic fuzzy-induced ordered weighted geometric averaging operator and normal intuitionistic fuzzy-induced generalized ordered weighted averaging operator (NIFIGOWA). Based on the NIFIGOWA operator, an approach is introduced to solve MCDM problems where the criteria values are NIFNs and the criteria weight information is fixed. Finally, the proposed method is compared to the existing methods by virtue of a numerical example to verify its feasibility and rationality.

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Acknowledgments

The authors thank the editors and anonymous reviewers for their helpful comments and suggestions. This work was supported by the National Natural Science Foundation of China (Nos. 71271218, 71221061).

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Authors and Affiliations

  1. School of Business, Central South University, Changsha, 410083, China

    Jian-qiang Wang, Peng Zhou, Kang-jian Li, Hong-yu Zhang & Xiao-hong Chen

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  1. Jian-qiang Wang
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  2. Peng Zhou
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  3. Kang-jian Li
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  4. Hong-yu Zhang
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  5. Xiao-hong Chen
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Correspondence to Jian-qiang Wang.

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Wang, Jq., Zhou, P., Li, Kj. et al. Multi-criteria decision-making method based on normal intuitionistic fuzzy-induced generalized aggregation operator. TOP 22, 1103–1122 (2014). https://doi.org/10.1007/s11750-014-0314-3

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  • DOI: https://doi.org/10.1007/s11750-014-0314-3

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