## Fuzzy set theory and its applicationsThis introduction to fuzzy set theory and its multitude of applications seeks to balance the character of the book with the dynamic nature of the research. This edition includes new 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. Existing material has been updated, and extended exercises are included. |

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### Contents

Fuzzy SetsBasic Definitions | 11 |

Fuzzy Relations and Fuzzy Graphs | 61 |

Fuzzy Analysis | 83 |

Copyright | |

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### Common terms and phrases

aggregation algebraic algorithm alternative applications of fuzzy approach approximate areas assignment assume Bellman Bezdek Boolean logic chapter classical compute concepts considered crisp decision space degree of membership denotes described Determine domain Dubois and Prade empirical Example expert systems extension principle false Figure formal fuzzy clustering fuzzy control fuzzy environment fuzzy event fuzzy function fuzzy graph fuzzy logic fuzzy measures fuzzy numbers fuzzy relation fuzzy set decision fuzzy set theory fuzzy truth value goal gross audience heuristic instance integral interpreted intersection interval language linear programming linguistic variable mathematical maximizing maximum measure of fuzziness membership function min-operator modus ponens objective function operations research optimal partition pattern recognition possibility distribution possibility theory Prade probability theory problem proposition PRUF relationship representing respect rules scale solution solve statements structure suggested symmetric theoretic true truth tables truth values uncertainty Yager Zadeh Zimmermann