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Choquet integrals of weighted generalized and group generalized intuitionistic fuzzy soft sets

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Abstract

For many real multi-criteria decision-making (MCDM) problems under intuitionistic fuzzy environment, most criteria have interactive characteristics so that it is not suitable for us to aggregate them by traditional aggregation operators based on additive measures. To approximate the human subjective decision-making process, this paper puts forward the new aggregation operators of generalized intuitionistic fuzzy soft set (GIFSS) and group generalized intuitionistic fuzzy soft sets (G-GIFSS) through the Chqouet integral. These new operators not only demonstrate the interaction phenomena among elements, experts (or moderators) or the ordered positions of them, but also consider their importance or the order positions of them. Furthermore, the new operators are not necessary to assume additivity and independence among decision-making criteria. It should be noted that the existing aggregation operators of GIFSS and G-GIFSS are special cases of the new Choquet integral operators. Two Choquet integral operator-based approaches are developed to solve the MCDM under the intuitionistic fuzzy soft set environment. Finally, a practical example of MCDM is given to validate the effectiveness of the proposal.

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Funding

This study was funded by National Natural Science Foundation of China (Grant No. 61490702).

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Authors and Affiliations

  1. School of Information Science and Engineering, Central South University, Changsha, 410083, China

    Sheng Li

  2. School of Science, Jiangxi University of Science and Technology, Ganzhou, 341000, China

    Sheng Li & Yu-xiao Li

  3. School of Information Science and Engineering, Hunan First Normal University, Changsha, 410205, China

    Xiao-qi Peng

Authors
  1. Sheng Li
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  2. Xiao-qi Peng
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  3. Yu-xiao Li
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Correspondence to Sheng Li.

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Sheng Li declares that he has no conflict of interest. Xiao-qi Peng declares that she has no conflict of interest. Yu-xiao Li declares that she has no conflict of interest.

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Communicated by A. Di Nola.

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Li, S., Peng, Xq. & Li, Yx. Choquet integrals of weighted generalized and group generalized intuitionistic fuzzy soft sets. Soft Comput 24, 745–760 (2020). https://doi.org/10.1007/s00500-019-04472-8

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