Affiliations: 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 310018, PR China. Tel.: +86-571-86875634; E-mail: [email protected].
Abstract: In this paper, the concept of α (x, y)-interval-valued pointwise sustaining degree based on the left-continuous t-representable t-norms is put forward. And then, as a general extension based on the interval-valued pointwise sustaining degree, the interval-valued α (x, y)-full implication triple I method model, the interval-valued α (x, y)-quintuple implication principle models and the interval-valued α (x, y)-similarity measure method models are given. Moreover, the interval-valued
R
-type α (x, y)-fuzzy reasoning solutions with triple I method, quintuple implication principle and similarity measure method are given. Some existing results are special cases of the main conclusions in this paper.
