## Fuzzy Set Theory—and Its ApplicationsSince its inception, the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of fuzzy technology can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, robotics, and others. Theoretical advances have been made in many directions. The primary goal of Fuzzy Set Theory - and its Applications, Fourth Edition is to provide a textbook for courses in fuzzy set theory, and a book that can be used as an introduction. To balance the character of a textbook with the dynamic nature of this research, many useful references have been added to develop a deeper understanding for the interested reader. Fuzzy Set Theory - and its Applications, Fourth Edition updates the research agenda 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. Chapters have been updated and extended exercises are included. |

### From inside the book

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... Fuzzy Measures 47 4.2 Measures of Fuzziness 49 5 The Extension Principle and Applications 55 5.1 The Extension Principle 55 5.2 Operations for Type 2 Fuzzy Sets 56 5.3 Algebraic Operations with

... Fuzzy Measures 47 4.2 Measures of Fuzziness 49 5 The Extension Principle and Applications 55 5.1 The Extension Principle 55 5.2 Operations for Type 2 Fuzzy Sets 56 5.3 Algebraic Operations with

**Fuzzy Numbers**59 5.3.1 Special Extended ...Page ix

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### Contents

Introduction to Fuzzy Sets | 1 |

Extensions | 23 |

4 | 44 |

The Extension Principle and Applications | 55 |

Fuzzy Relations on Sets and Fuzzy Sets | 71 |

Fuzzy Analysis | 93 |

4 | 105 |

Uncertainty Modeling | 111 |

3 | 154 |

4 | 160 |

5 | 169 |

Fuzzy Sets and Expert Systems | 185 |

Fuzzy Control | 223 |

Fuzzy Data Bases and Queries | 265 |

Decision Making in Fuzzy Environments | 329 |

Applications of Fuzzy Sets in Engineering and Management | 371 |

2 | 122 |

4 | 131 |

Applications of Fuzzy Set Theory | 139 |

Empirical Research in Fuzzy Set Theory | 443 |

Future Perspectives | 477 |

### Other editions - View all

### Common terms and phrases

a-level aggregation algebraic algorithm applications of fuzzy approach approximately areas base Bezdek chapter classical computational concepts considered constraints crisp criteria customers data analysis DataEngine decision defined definition defuzzification degree of membership described determine domain Dubois and Prade elements engineering example expert systems feature formal Fril fuzzy c-means fuzzy clustering fuzzy control fuzzy control systems fuzzy function fuzzy graph fuzzy logic fuzzy measures fuzzy numbers fuzzy relation fuzzy set Ć fuzzy set theory goal inference inference engine input integral intersection interval linear programming linguistic variable Mamdani mathematical measure of fuzziness membership function methods min-operator objective function operators optimal parameters possibility distribution probability probability theory problem properties respect rules scale level scheduling semantic solution structure Sugeno t-conorms t-norms Table tion trajectories truth tables truth values uncertainty vector X₁ Yager Zadeh Zimmermann µĆ µĆ(x µµ(x

### References to this book

An Introduction to Fuzzy Control Dimiter Driankov,Hans Hellendoorn,Michael Reinfrank No preview available - 1996 |