Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems
By Hong-yu Zhang, Jian-qiang Wang, Xiao-hong Chen. TheScientificWorldJournal, 2014
379 citations recorded by the source corpus.
As a generalization of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete, and inconsistent information existing in the real world. And interval neutrosophic sets (INSs) have been proposed exactly to address issues with a set of numbers in the real unit interval, not just a specific number. However, there are fewer reliable operations for INSs, as well as the INS aggregation operators and decision making method. For this purpose, the operations for INSs are defined and a comparison approach is put forward based on the related research of interval valued intuitionistic fuzzy sets (IVIFSs) in this paper. On the basis of the operations and comparison approach, two interval neutrosophic number aggregation operators are developed. Then, a method for multicriteria decision making problems is explored applying the aggregation operators. In addition, an example is provided to illustrate the application of the proposed method.
Subfields: Artificial Intelligence, Control and Systems Engineering, Management Science and Operations Research
View Paper: https://www.semanticscholar.org/paper/e028d43c5a92593db33c7835678ed93f9d46c59a
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In Artificial Intelligence
In Control and Systems Engineering
In Management Science and Operations Research
Citations in the corpus
- TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment (2014, background): “[16] studied multi-criteria decision-making problems under interval neutrosophic set information.”