Equality relations as a basis for fuzzy control
Fuzzy Sets and Systems
Fuzzy input-output controllers are universal approximators
Fuzzy Sets and Systems
The relation between inference and interpolation in the framework of fuzzy systems
Fuzzy Sets and Systems
On the semantics of perception-based fuzzy logic deduction: Research Articles
International Journal of Intelligent Systems - Intelligent and Soft Computing Techniques for Information Processing
Fuzzy Control: Fundamentals, Stability and Design of Fuzzy Controllers (Studies in Fuzziness and Soft Computing)
System of fuzzy relation equations as a continuous model of IF-THEN rules
Information Sciences: an International Journal
A comprehensive theory of trichotomous evaluative linguistic expressions
Fuzzy Sets and Systems
Fuzzy transforms: Theory and applications
Fuzzy Sets and Systems
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This paper is devoted to the original idea of fuzzy control -- to apply genuine linguistic description of a control strategy. We present the concept of fuzzy logic control which differs from the generally used techniques (based on Mamdani-Assilian or Takagi-Sugeno rules). The leading idea is to "teach" computer to "understand" genuine linguistic description of a control strategy and follow it analogously as people do. Our technique applies mathematical theory of the meaning of special expressions of natural language and mathematical theory of formal logical deduction on the basis of (vague) linguistic descriptions. The result is a specific control technique which has several advantages, namely intelligibility, robustness, generality, and also adaptation and learning. We present several examples and mention practical applications.