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Group decision making method based on single valued neutrosophic Choquet integral operator

HAN Lili1,*WEI Cuiping2   

  1. 1. College of Operations and Management, Qufu Normal University, Rizhao 276800, Shandong, China; 2. College of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China
  • Received:2017-03-28 Online:2017-06-15 Published:2017-06-15

Abstract:

Single valued neutrosophic set (SVNS) depicts not only the incomplete information, but also the indeterminate information and inconsistent information which exist commonly in belief systems. The existing decision making methods for SVNS consider the case that the attributes are independent, and cannot handle the correlation among attributes. Based on the Choquet integral and the cosine similarity degree of single valued neutrosophic number, we propose an operator to aggregate single valued neutrosophic numbers (SVNNs), which can deal with the single valued neutrosophic information with connective attributes. By using the proposed single valued neutrosophic Choquet integral operator, an approach is given for the multi-attribute group decision making problems with SVNNs. An example is showed to illustrate the validity and applicability of the proposed method.

Key words: multi-attribute group decision making, single valued neutrosophic sets, Choquet integral, aggregation operators