## Fuzzy sets and their applicationsA systematic treatise of fuzzy set theory and of some of its applications, containing many of the author's original results together with those of other Czech scientists. Intended for researchers, teachers and students of artificial intelligence, computational linguistics, system engineering, modelling and control of industrial processes, decision-making and management sciences, mathematics and logic, knowledge engineering and expert systems. |

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### Contents

INTRODUCTION | 11 |

FUZZY SET THEORY | 27 |

THE MODEL OF NATURAL LANGUAGE | 101 |

Copyright | |

8 other sections not shown

### Common terms and phrases

a-cut Analogously applications basic operations bijection binary Boolean lattice Cartesian product classical logic classical set composition of fuzzy compute conditional statements construct defined Definition denote determined element x e example extension principle F-function finite fits the lattice follows from theorem formula fulfilling fuzzy algorithms fuzzy controller fuzzy equality fuzzy function fuzzy logic fuzzy model fuzzy numbers fuzzy relation fuzzy set theory fuzzy system given holds true iff Cx implies important input interpretation linguistic approximation linguistic modifiers linguistic variable mathematical meaning measure membership degree membership function method n-ary natural language obtain operations on fuzzy output parameters problem product-type operation production rules properties proposition quantifiers residuated lattice respectively result rule of inference semantic semiset sets of type structure subset Supp(B symbols syntagm term tion transitive truth values universe vector weights words XA(x zy set