Fuzzy controls under various fuzzy reasoning methods
Information Sciences: an International Journal - Application of Fuzzy Set Theory
On the redundancy of fuzzy partitions
Fuzzy Sets and Systems - Special issue on methods for data analysis in classificatin and control
Guaranteed accurate fuzzy controllers for monotone functions
Fuzzy Sets and Systems
NIPS '97 Proceedings of the 1997 conference on Advances in neural information processing systems 10
A new fuzzy controller for stabilization of parallel-type double inverted pendulum system
Fuzzy Sets and Systems
Parameter conditions for monotonic Takagi-Sugeno-Kang fuzzy system
Fuzzy Sets and Systems - Fuzzy systems
A proposal of SIRMs dynamically connected fuzzy inference model for plural input fuzzy control
Fuzzy Sets and Systems - Fuzzy control
Monotone Mamdani--Assilian models under mean of maxima defuzzification
Fuzzy Sets and Systems
On the Monotonicity of Single Input Type Fuzzy Reasoning Methods
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
On the monotonicity of hierarchical sum--product fuzzy systems
Fuzzy Sets and Systems
Comparison of fuzzy reasoning methods
Fuzzy Sets and Systems
Inequality relation between fuzzy numbers and its use in fuzzy optimization
Fuzzy Sets and Systems
IEEE Transactions on Fuzzy Systems
Derivation of monotone decision models from noisy data
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
A general purpose fuzzy controller for monotone functions
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
How good are fuzzy If-Then classifiers?
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
On stability of fuzzy systems expressed by fuzzy rules with singleton consequents
IEEE Transactions on Fuzzy Systems
A systematic study of fuzzy PID controllers-function-based evaluation approach
IEEE Transactions on Fuzzy Systems
On the Generalization of Single Input Rule Modules Connected Type Fuzzy Reasoning Method
IEEE Transactions on Fuzzy Systems
Brief Ensuring monotonic gain characteristics in estimated models by fuzzy model structures
Automatica (Journal of IFAC)
Are artificial neural networks black boxes?
IEEE Transactions on Neural Networks
Interpretation of artificial neural networks by means of fuzzy rules
IEEE Transactions on Neural Networks
Nonlinear function approximation using fuzzy functional SIRMs inference model
AIKED'12 Proceedings of the 11th WSEAS international conference on Artificial Intelligence, Knowledge Engineering and Data Bases
A hybrid approach based on DCT-Genetic-Fuzzy inference system for speech recognition
IDEAL'12 Proceedings of the 13th international conference on Intelligent Data Engineering and Automated Learning
SIRMs connected fuzzy inference method adopting emphasis and suppression
Fuzzy Sets and Systems
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Computational intelligence models for image processing and information reasoning
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Yubazaki et al. have proposed a "single-input rule modules connected-type fuzzy-inference method" (SIRMs method) whose final output is obtained by combining the products of the importance degrees and the inference results from single-input fuzzy-rule modules. Moreover, Seki et al. have proposed a "functional-type SIRMs method" whose consequent parts are generalized to functions from real numbers. It is expected that inference results from the functional-type SIRMs method are monotone, if the antecedent parts and the consequent parts of fuzzy rules in the functional-type SIRMs rule modules are monotone. However, this paper points out that even if consequent parts in the functional-type SIRMs rule modules are monotone, the inference results are not necessarily monotone when the antecedent parts are noncomparable fuzzy sets, and it clarifies the conditions for themonotonicity of inference results from the functional-type SIRMs method. Moreover, for the Takagi-Sugeno (T-S) inference method, the monotonicity condition is clarified in the case of two inputs by using the equivalence relation of fuzzy inference.