Abstract
For real decision-making problems, aggregating the attributes which have interactive or correlated characteristics by traditional aggregation operators is unsuitable. Thus, applying Choquet integral operator to approximate and simulate human subjective decision-making process, in which independence among the input arguments is not necessarily assumed, would be suitable. Moreover, using single-valued neutrosophic uncertain linguistic sets (SVNULSs) can express the indeterminate, inconsistent, and incomplete information better than FSs and IFSs. In this paper, we studied the MAGDM problems with SVNULSs and proposed two single-valued neutrosophic uncertain linguistic Choquet integrate aggregation operators where the interactions phenomena among the attributes or the experts are considered. First, the definition, operational rules, and comparison method of single-valued neutrosophic uncertain linguistic numbers (SVNULNs) are introduced briefly. Second, induced single-valued neutrosophic uncertain linguistic Choquet ordered averaging (I-SVNULCA) operator and induced single-valued neutrosophic uncertain linguistic Choquet geometric (I-SVNULCG) operator are presented. Moreover, a few of its properties are discussed. Further, the procedure and algorithm of MAGDM based on the above single-valued neutrosophic uncertain linguistic Choquet integral operator are proposed. Finally, in the illustrative example, the practicality and effectiveness of the proposed method would be demonstrated.
Highlights
In the real-life, due to the complexity of environment and the limitation of human knowledge, human preference judgments may be difficult to express by crisp numbers
Thereafter, we propose one procedure for MAGDM under the environments of single-valued neutrosophic uncertain linguistic numbers (SVNULNs) based on the proposed operators in this paper
In real decision-making, incomplete, indeterminate, and inconsistent are the common features in the decision-making information of alternatives provided by DMs
Summary
In the real-life, due to the complexity of environment and the limitation of human knowledge, human preference judgments may be difficult to express by crisp numbers. Information aggregation operators generally play an important part in the process of MAGDM problems and thereby attract the attention of an increasing number of researchers [37,38,39,40,41,42,43,44]. These aggregation operators are assembled based on the DM’s preference and attributes are independent of each other [45]. The conclusions and further future research are provided in the end of this paper
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