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Interval neutrosophic sets and their application in multicriteria decision making problems.
Hong-yu Zhang1, Jian-qiang Wang1, Xiao-hong Chen1
1School of Business, Central South University, Changsha 410083, China.
This study introduces new operations and aggregation operators for interval neutrosophic sets (INSs) to handle uncertain information. A novel decision-making method is developed and demonstrated with an example, enhancing the application of INSs.
Area of Science:
- Information Science
- Decision Science
- Fuzzy Set Theory
Background:
- Neutrosophic sets generalize fuzzy and intuitionistic fuzzy sets for uncertain, imprecise, and inconsistent data.
- Interval neutrosophic sets (INSs) extend this by using intervals, but lack robust operations and decision-making methods.
- Existing research in interval-valued intuitionistic fuzzy sets (IVIFSs) provides a foundation for developing INS methodologies.
Purpose of the Study:
- To define reliable operations for interval neutrosophic sets (INSs).
- To develop new aggregation operators for interval neutrosophic numbers.
- To propose a novel multicriteria decision-making method based on these operators.
Main Methods:
- Defined novel operations for INSs, drawing parallels with interval-valued intuitionistic fuzzy sets (IVIFSs).
- Developed two interval neutrosophic number aggregation operators.
- Formulated a multicriteria decision-making approach utilizing the proposed aggregation operators.
Main Results:
- Established a set of reliable operations for INSs.
- Introduced two effective interval neutrosophic number aggregation operators.
- Demonstrated the applicability of the new decision-making method through a practical example.
Conclusions:
- The developed operations and aggregation operators provide a solid foundation for INS research.
- The proposed decision-making method offers a practical solution for complex problems involving uncertain information.
- This work enhances the utility of interval neutrosophic sets in real-world applications.
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