Neural Computing and Applications

, Volume 29, Issue 9, pp 553–564 | Cite as

Linear assignment method for interval neutrosophic sets

  • Wei Yang
  • Jiarong Shi
  • Yongfeng Pang
  • Xiuyun Zheng
Original Article


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.


Multiple attribute decision making Interval neutrosophic set Linear assignment method Choquet integral Aggregation operator 



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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Copyright information

© The Natural Computing Applications Forum 2016

Authors and Affiliations

  • Wei Yang
    • 1
  • Jiarong Shi
    • 1
  • Yongfeng Pang
    • 1
  • Xiuyun Zheng
    • 1
  1. 1.Xi’an University of Architecture and TechnologyXi’anPeople’s Republic of China

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