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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. [ABSTRACT FROM AUTHOR]

In this paper, we propose fuzzy reasoning algorithms based on similarity for fuzzy modus ponens and fuzzy modus tollens and discuss the reducibility of the algorithms. Moreover, we investigate the robustness of fuzzy reasoning algorithms based on similarity. [ABSTRACT FROM AUTHOR]