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Linear assignment method for interval neutrosophic sets

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Abstract

Interval neutrosophic sets are the generalization of interval-valued intuitionistic fuzzy sets by considering the indeterminacy membership. A new multiple attribute decision-making method based on the interval neutrosophic sets and linear assignment has been developed, in which correlation of information has been considered by using the Choquet integral. We first develop the generalized interval neutrosophic fuzzy correlated averaging operator. Then, we generalize linear assignment method to accommodate the interval neutrosophic sets based on the Choquet integral. Finally, we apply it to solve the problem of selecting invest company to illustrate feasibility and practical advantages of the new algorithm in decision making. The comparison of new method with some other methods has been conducted.

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Acknowledgments

The authors would like to express appreciation to the anonymous reviewers for their very helpful comments on improving the paper. This work is partly supported by National Natural Science Foundation of China (Nos. 11401457, 61403298), Postdoctoral Science Foundation of China (2015M582624), Shaanxi Province Natural Science Fund of China (Nos. 2014JQ1019, 2014JM1010), Shaanxi Provincial Education Department fund of China (No. 16JK1435).

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Authors and Affiliations

  1. Xi’an University of Architecture and Technology, Xi’an, 710055, Shaanxi, People’s Republic of China

    Wei Yang, Jiarong Shi, Yongfeng Pang & Xiuyun Zheng

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  1. Wei Yang
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  2. Jiarong Shi
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  3. Yongfeng Pang
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  4. Xiuyun Zheng
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Correspondence to Wei Yang.

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Yang, W., Shi, J., Pang, Y. et al. Linear assignment method for interval neutrosophic sets. Neural Comput & Applic 29, 553–564 (2018). https://doi.org/10.1007/s00521-016-2575-2

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