Correlated aggregation operators for simplified neutrosophic set and their application in multi-attribute group decision making

Article type: Research Article

Authors: Liu, Chunfang^{a; b; *} | Luo, YueSheng^{a; c}

Affiliations: [a] College of Science, Northeast Forestry University, Harbin, China | [b] College of Automation, Harbin Engineering University, Harbin, China | [c] College of Science, Harbin Engineering University, Harbin, China

Correspondence: [*] Corresponding author. Chunfang Liu. Tel./Fax: +86 15045857220; E-mail: [email protected].

Abstract: The simplified neutrosophic set (SNS) is a generalization of the fuzzy set that is designed for some incomplete, uncertain and inconsistent situations in which each element has different truth membership, indeterminacy membership and falsity membership functions. In this paper, we propose the simplified neutrosophic correlated averaging (SNCA) operator and the simplified neutrosophic correlated geometric (SNCG) operator, and further study the properties of the operators. Then, an approach to multi-attribute group decision making (MAGDM) within the framework of SNS is developed by the proposed aggregation operators. Finally, a practical application of the developed approach to the problem of investment is given, and the result shows that our approach is reasonable and effective in dealing with uncertain decision making problems.

Keywords: Multi-attribute group decisionmaking (MAGDM), simplified neutrosophic set (SNS), correlated aggregation operators (CAO)

DOI: 10.3233/IFS-151886

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 3, pp. 1755-1761, 2016