## Fuzzy Set Theory - and Its ApplicationsFuzzy Set Theory - And Its Applications, Third Edition is a textbook for courses in fuzzy set theory. It can also be used as an introduction to the subject. The character of a textbook is balanced with the dynamic nature of the research in the field by including many useful references to develop a deeper understanding among interested readers. The book updates the research agenda (which has witnessed profound and startling advances since its inception some 30 years ago) with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. All chapters have been updated. Exercises are included. |

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### Contents

Fuzzy Mathematics | 11 |

Fuzzy Measures and Measures of Fuzziness | 45 |

Fuzzy Relations and Fuzzy Graphs | 69 |

Copyright | |

11 other sections not shown

### Common terms and phrases

a-level aggregation algebraic algorithm approach approximately areas assignment assume basic Bezdek Boolean logic chapter classical cluster computational concepts considered constraints control action crisp criteria criterion data analysis decision maker defined definition defuzzification degree of membership denotes described determined domain Dubois and Prade empirical evaluation example expert systems extension principle Figure Figure Figure formal Fril fuzzy clustering fuzzy control fuzzy event fuzzy function fuzzy graph fuzzy logic fuzzy numbers fuzzy relation fuzzy set decision fuzzy set theory given goal iA(x inference input integral interpreted intersection interval linear programming linguistic variable Mamdani mathematical matrix maximize membership function methods min-operator objective function operations research optimal parameters partition possibility distribution possibility theory probability probability theory problem proposition PRUF representing respect rules schedule semantic shown in figure solution space structure Sugeno temperature true truth tables truth values Yager Zadeh Zimmermann