Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
On the logic foundation of fuzzy reasoning
Information Sciences: an International Journal
Non-fuzzy versions of fuzzy reasoning in classical logics
Information Sciences—Informatics and Computer Science: An International Journal
R0 implication: characteristics and applications
Fuzzy Sets and Systems - Mathematics
On equivalent forms of fuzzy logic systems NM and IMTL
Fuzzy Sets and Systems
Formalized theory of general fuzzy reasoning
Information Sciences—Informatics and Computer Science: An International Journal
On the strict logic foundation of fuzzy reasoning
Soft Computing - A Fusion of Foundations, Methodologies and Applications
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
Unified forms of Triple I method
Computers & Mathematics with Applications
Fuzzy Description Logics and t-norm based fuzzy logics
International Journal of Approximate Reasoning
Distributive equations of implications based on nilpotent triangular norms
International Journal of Approximate Reasoning
Topology vs generalized rough sets
International Journal of Approximate Reasoning
A novel approach to multi-attribute decision making based on intuitionistic fuzzy sets
Expert Systems with Applications: An International Journal
The role of fuzzy sets in decision sciences: Old techniques and new directions
Fuzzy Sets and Systems
Algebraic structures of interval-valued fuzzy ( S,N)-implications
International Journal of Approximate Reasoning
Triple I algorithms based on Schweizer--Sklar operators in fuzzy reasoning
International Journal of Approximate Reasoning
Robustness analysis of full implication inference method
International Journal of Approximate Reasoning
On fuzzy implications: An axiomatic approach
International Journal of Approximate Reasoning
Hierarchical structure and applications of fuzzy logical systems
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
Simulation for lattice-valued doubly labeled transition systems
International Journal of Approximate Reasoning
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Fuzzy reasoning includes a number of important inference methods for addressing uncertainty. This line of fuzzy reasoning forms a common logical foundation in various fields, such as fuzzy logic control and artificial intelligence. The full implication triple I method (a method only based on implication, TI method for short) for fuzzy reasoning is proposed in 1999 to improve the popular CRI method (a hybrid method based on implication and composition). The current paper delves further into the TI method, and a sound logical foundation is set for the TI method based on the monoidal t-norm based logical system MTL.