Affiliations: Department of Mathematics, China Jiliang University, Hangzhou, PR China
Correspondence:
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Corresponding author. Minxia Luo, Department of Mathematics, China Jiliang University, Hangzhou 310018, PR China. Tel./Fax: +86 57186875634; E-mail: [email protected].
Note: [1] This work is supported by the National Natural Science Foundation of China (Nos. 61273018 and 61302190) and the Science Foundation of Zhejiang Education Department (No. Y201328000)
Abstract: In this paper, the interval-valued triple I algorithms based on two inference models, i.e. fuzzy modus ponens and fuzzy modus tollens, are extended to the (1,2,1)-type universal triple I algorithms. The corresponding (1,2,1)-type universal triple I solutions are given. Moreover, the robustness of interval-valued (1,2,1)-type universal triple I algorithms are studied. As the corollaries of the main results, the sensitivity of [α, β]-(1,2,1)-type universal triple I solutions based on interval-valued Lukasiewicz implication and R0 implication are given. In particularly, the sensitivity of α-(1,2,1)-type universal triple I methods based on classical sets are given.
Keywords: Interval-valued fuzzy inference, (1,2,1)-type universal triple I method, the sensitivity of the interval-valued fuzzy inference, robustness
