The neutrosophic number generalized weighted power averaging operator and its application in multiple attribute group decision making

• Published in: International journal of machine learning and cybernetics Vol. 9; no. 2; pp. 347 - 358
• Main Authors: Liu, Peide, Liu, Xi
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2018; Springer Nature B.V
• Subjects: Artificial Intelligence; Complex Systems; Computational Intelligence; Control; Decision making; Engineering; Fuzzy sets; Linguistics; Mechatronics; Operators; Original Article; Pattern Recognition; Robotics; Systems Biology; Neutrosophic numbers power aggregation operator; Multiple attribute group decision making (MAGDM); Neutrosophic numbers; Power aggregation operator
• ISSN: 1868-8071; 1868-808X
• DOI: 10.1007/s13042-016-0508-0

Neutrosophic number (NN) is a useful tool which is used to overcome the difficulty of describing indeterminate evaluation information. The purpose of the study is to propose some power aggregation operators based on neutrosophic number which is used to deal with multiple attributes group decision making problems more effectively. Firstly, the basic concepts and the operational rules and the characteristics of NNs are introduced. Then, some aggregation operators based on neutrosophic numbers are developed, included the neutrosophic number weighted power averaging (NNWPA) operator, the neutrosophic number weighted geometric power averaging (NNWGPA) operator, the generalized neutrosophic number weighted power averaging (GNNWPA) operator. At the same time, the properties of above operators are studied such as idempotency, monotonicity, boundedness and so on. Then, the generalized neutrosophic number weighted power averaging (GNNWPA) operator is applied to solve multiple attribute group decision making (MAGDM) problems. Afterwards, a numerical example is given to demonstrate the effective of the new developed method, and some comparison are conducted to verify the influence of different parameters or to reveal the difference with another method. In the end, the main conclusion of this paper is summarized.