New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making

• Published in: Pattern analysis and applications : PAA Vol. 22; no. 2; pp. 417 - 427
• Main Authors: Liu, Chun-fang, Luo, Yue-Sheng
• Format: Journal Article
• Language: English
• Published: London Springer London 01.05.2019; Springer Nature B.V
• Subjects: Agglomeration; Computer Science; Decision making; Fuzzy sets; Operators; Pattern Recognition; Theoretical Advances; Multi-attribute decision making (MADM); Single-valued neutrosophic hesitant fuzzy set (SVNHFS); Hybrid aggregation operator (HAO)
• ISSN: 1433-7541; 1433-755X
• DOI: 10.1007/s10044-017-0635-6

The single-valued neutrosophic hesitant fuzzy set (SVNHFS) is a combination of single-valued neutrosophic set and hesitant fuzzy set that is designed for some incomplete, uncertain and inconsistent situations in which each element has a few different values designed by truth membership hesitant function, indeterminacy membership hesitant function and falsity membership hesitant function. In this paper, we define the score function, accuracy function and certainty function of SVNHFS and give the laws to compare the SVNHFS. Then, we propose the single-valued neutrosophic hesitant fuzzy ordered weighted averaging operator and the single-valued neutrosophic hesitant fuzzy hybrid weighted averaging operator and study the properties of the operators. Furthermore, an approach to multi-attribute decision making within the framework of SVNHFS is developed by the proposed aggregation operators. Finally, a practical application of the developed approach is given, and the result shows that our approach is reasonable and effective in dealing with uncertain decision-making problems.