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Some new operations over the generalized intuitionistic fuzzy sets and their application to decision-making process

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Abstract

Intuitionistic fuzzy sets is one of the successful extensions of the fuzzy set to deal with the data, where the information is vague, imprecise, or insufficient during the decision-making process. The objective of the manuscript is to present generalized intuitionistic fuzzy sets and their corresponding operations. For it, we first presented an idea of the generalized IFSs and their corresponding operational laws. Furthermore, some new arithmetic and geometric mean operations are defined to aggregate the different preferences of the decision makers during the process. Various relations related to these operations are investigated in detail. Finally, a decision-making approach has been presented under the GIFSs environment and illustrated with a numerical example.

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Acknowledgements

The authors are very grateful to the anonymous reviewers for their valuable comments and constructive suggestions, which greatly improved the quality of this paper.

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Authors and Affiliations

  1. Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

    Ezzatallah Baloui Jamkhaneh

  2. School of Mathematics, Thapar University Patiala, Patiala, Punjab, 147004, India

    Harish Garg

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  1. Ezzatallah Baloui Jamkhaneh
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  2. Harish Garg
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Correspondence to Harish Garg.

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Jamkhaneh, E.B., Garg, H. Some new operations over the generalized intuitionistic fuzzy sets and their application to decision-making process. Granul. Comput. 3, 111–122 (2018). https://doi.org/10.1007/s41066-017-0059-0

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  • DOI: https://doi.org/10.1007/s41066-017-0059-0

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