Affiliations: [a] College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, PR China
| [b] Department of Information and Computing Science, China Jiliang University, Hangzhou, PR China
Correspondence:
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Corresponding author. Minxia Luo, Department of Information and Computing Science, China Jiliang University, Hangzhou, PR China. E-mail: [email protected].
Abstract: The theory of single valued neutrosophic sets, which is a generalization of intuitionistic fuzzy sets, is more capable of dealing with inconsistent information in practice. In this paper, we propose reverse triple I method under single valued neutrosophic environment. Firstly, we give the definitions of single valued neutrosophic t-representation t-norms and single valued neutrosophic residual implications. Secondly, we develop a formula for calculating single valued neutrosophic residual implications. Then we propose reverse triple I method based on left-continuous single valued neutrosophic t-representation t-norms and its solutions. Lastly, we discuss the robustness of reverse triple I method based on the proposed similarity measure.
Keywords: Single valued neutrosophic sets, similarity measure, reverse triple I method
