Power aggregation operators of simplified neutrosophic sets and their use in multi-attribute group decision making

摘要

The simplified neutrosophic set ( SNS ) is a useful generalization of the fuzzy set that is designed for some practical situations in which each element has different truth membership function, indeterminacy membership function and falsity membership function. In this paper, we develop a series of power aggregation operators called simplified neutrosophic number power weighted averaging ( SNNPWA ) operator, simplified neutrosophic number power weighted geometric ( SNNPWG ) operator, simplified neutrosophic number power ordered weighted averaging ( SNNPOWA ) operator and simplified neutrosophic number power ordered weighted geometric ( SNNPOWG ) operator. We present some useful properties of the operators and discuss the relationships among them. Moreover, an approach to multi-attribute group decision making ( MAGDM ) within the framework of SNSs is developed by the above aggregation operators. Finally, a practical application of the developed approach to deal with the problem of investment is given, and the result shows that our approach is reasonable and effective in dealing with uncertain decision making problems.