Abstract
As a generalization of intuitionistic fuzzy sets, neutrosophic sets (NSs) can be better handle the incomplete, indeterminate and inconsistent information, which have attracted the widespread concerns for researchers. In this paper, some new aggregation operators are proposed under single-valued neutrosophic environment. Firstly, the definition and operational laws of single-valued neutrosophic numbers (SVNNs) are introduced. Then, the single-valued neutrosophic power average (SVNPA) operator and the single- valued neutrosophic power weighted average (SVNPWA) operator are developed, and some properties of SVNPWA operator are also analyzed. Furthermore, a method for solving multi-criteria decision-making (MCDM) problems is explored based on the power aggregation operators and cosine similarity measures. Finally, an illustrative example is shown to verify the effectiveness and practicality of the proposed method.
Highlights
In the real world, the decision-making problems with incomplete or inaccurate information are difficult to be precisely expressed by decision-makers
We will use the single-valued neutrosophic power weighted average (SVNPWA) operator to deal with the multi-criteria decision-making problems under the single-valued neutrosophic environment, where the alternative values are in the form of single-valued neutrosophic numbers (SVNNs) and the criteria weights are in the form of crisp values
The single-valued neutrosophic set is an extension of traditional fuzzy set
Summary
The decision-making problems with incomplete or inaccurate information are difficult to be precisely expressed by decision-makers Under these circumstances, Zadeh [1] firstly proposed the theory of fuzzy sets (FSs), where the membership degree is presented using a crisp value between zero and one, have been applied successfully in many different fields. Liu [20] proposed the concept of the interval neutrosophic hesitant fuzzy set, presented the operations and developed generalized hybrid weighted aggregation operators. Power average operators have not been applied to handle MCDM problems under single-valued neutrosophic environment. The aim of the paper is to develop single-valued neutrosophic power average aggregation operators.
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