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Several New Hesitant Fuzzy Aggregation Operators and their Application to Multi-criteria Decision Making

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Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Aims and scope Submit manuscript

Abstract

In this paper, we define and develop several operation laws for hesitant fuzzy elements based on the Archimedean t-conorm and t-norm. The developed operators provide a family of hesitant fuzzy aggregation operators that include the existing hesitant fuzzy aggregation operators based on the Algebraic, Einstein, and Hamacher t-conorms and t-norms as special cases. Moreover, we study the operators’ properties and relationships and provide several specific hesitant fuzzy aggregation operators, which can be considered to be the extensions of the known operators. Finally, we apply the developed operators to present an approach for multi-criteria decision making with hesitant fuzzy information and provide a numerical example to illustrate the developed operators and approach.

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Acknowledgments

The author thanks the anonymous referees for their valuable suggestions in improving this paper. This work is supported by the National Natural Science Foundation of China (Grant No. 61375075), the Natural Science Foundation of Hebei Province of China (Grant No. F2012201020) and the Scientific Research Project of Department of Education of Hebei Province of China (Grant No. QN2016235).

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  1. College of Mathematics and Information Science, Hebei University, Baoding, 071002, Hebei, People’s Republic of China

    Zhiming Zhang

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  1. Zhiming Zhang
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Correspondence to Zhiming Zhang.

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Zhang, Z. Several New Hesitant Fuzzy Aggregation Operators and their Application to Multi-criteria Decision Making. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 86, 377–393 (2016). https://doi.org/10.1007/s40010-016-0270-4

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  • DOI: https://doi.org/10.1007/s40010-016-0270-4

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