On the logic foundation of fuzzy reasoning
Information Sciences: an International Journal
Fuzzy Sets and Systems - Implication operators
Unified forms of fully implicational restriction methods for fuzzy reasoning
Information Sciences: an International Journal
Unified full implication algorithms of fuzzy reasoning
Information Sciences: an International Journal
Triple I method based on pointwise sustaining degrees
Computers & Mathematics with Applications
Continuity of triple I methods based on several implications
Computers & Mathematics with Applications
Unified forms of Triple I method
Computers & Mathematics with Applications
Toward a generalized theory of uncertainty (GTU)--an outline
Information Sciences: an International Journal
Formalization of implication based fuzzy reasoning method
International Journal of Approximate Reasoning
Robustness analysis of full implication inference method
International Journal of Approximate Reasoning
On robustness of the full implication triple I inference method with respect to finer measurements
International Journal of Approximate Reasoning
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In this paper, we focus on the flexible inference method with parameters, that is the parametric triple I method by the combination of Schweizer-Sklar operators and triple I principles for fuzzy reasoning. Because the Schweizer-Sklar parameter m reflects the interaction between propositions in reasoning processes, the new parameterized triple I algorithms are closer to human reasoning in daily life. Also some properties of the new algorithms such as the reductivity, continuity and approximation are discussed. It is shown that some existing results are special cases of the new algorithms given here and in view of the variability of the parameter m the new algorithms have excellent flexibility in reasoning processes.