Application of Fuzzy Logic to Approximate Reasoning Using Linguistic Synthesis
IEEE Transactions on Computers
Fuzzy conditional inferences and fuzzy inferences with fuzzy quantifiers
IJCAI'79 Proceedings of the 6th international joint conference on Artificial intelligence - Volume 1
Retrieving images in fuzzy object-relational databases using dominant color descriptors
Fuzzy Sets and Systems
Computationally efficient reasoning using approximated fuzzy intervals
Fuzzy Sets and Systems
Infinite fuzzy relation equations with continuous t-norms
Information Sciences: an International Journal
Rule reduction for efficient inferencing in similarity based reasoning
International Journal of Approximate Reasoning
Unified forms of Triple I method
Computers & Mathematics with Applications
Fuzzy reasoning and fuzzy relational equations
Fuzzy Sets and Systems
Solutions of composite fuzzy relational equations with triangular norms
Fuzzy Sets and Systems
A probabilistic interpretation of a case of inference involving fuzzy quantification
Fuzzy Sets and Systems
Parallel and multistage fuzzy inference based on families of α-level sets
Information Sciences: an International Journal
Temperature prediction based on fuzzy clustering and fuzzy rules interpolation techniques
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Fuzzy interpolative reasoning via cutting and transformations techniques
IEA/AIE'07 Proceedings of the 20th international conference on Industrial, engineering, and other applications of applied intelligent systems
Continuity issues of the implicational interpretation of fuzzy rules
Fuzzy Sets and Systems
On the monotonicity of fuzzy-inference methods related to T-S inference method
IEEE Transactions on Fuzzy Systems - Special section on computing with words
Systemic approach to fuzzy logic formalization for approximate reasoning
Information Sciences: an International Journal
A fuzzy expert system architecture for capability assessments in skill-based environments
Expert Systems with Applications: An International Journal
Fuzzy relational equations on complete Brouwerian lattices
Information Sciences: an International Journal
Problems and tools to model uncertainty in expert- and decision support systems
Mathematical and Computer Modelling: An International Journal
Fuzzy interpolative reasoning for sparse fuzzy rule-based systems based on the slopes of fuzzy sets
Expert Systems with Applications: An International Journal
Linear optimization with an arbitrary fuzzy relational inequality
Fuzzy Sets and Systems
An Algebraic Foundation for Linguistic Reasoning
Fundamenta Informaticae
Some properties of infinite fuzzy relational equations with sup-inf composition
Information Sciences: an International Journal
Generalized modus Ponens using various implications and T-norm product with threshold
Annals of Mathematics and Artificial Intelligence
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L.A. Zadeh, E.H. Mamdani, and M. Mizumoto et al. have proposed methods for fuzzy reasoning in which the antecedent involves a fuzzy conditional proposition 'If x is A then y is B', with A and B being fuzzy concepts. Mizumoto et al. have investigated the properties of their methods in the case of 'generalized modus ponens'. This paper deals with the properties of their methods in the case of 'generalized modus tollens', and investigates the other new fuzzy reasoning methods obtained by introducing the implication rules of many valued logic systems. Finally, the properties of syllogism and contrapositive are investigated under each fuzzy reasoning method.