## 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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Page x

Semantic net. Linguistic descriptors. Label sets for semantic representation. Linguistic variables for occurrence and confirmability. Inference network for damage assessment of existing

Semantic net. Linguistic descriptors. Label sets for semantic representation. Linguistic variables for occurrence and confirmability. Inference network for damage assessment of existing

**structures**[Ishizuka et al. 1982, p. 263]. Page xi

Basic

Basic

**structure**of the knowledge-based system. (a) States of objects at a point of time; (b) projections of trajectories over time into the feature space.**Structural**and pointwise similarity. Fictitious developments of share prices. Page xii

**Structure**of OPAL. Fuzzy sets for the ratio in the “if” part of the rules. Example of an FMS [Hartley 1984, p. 194]. Criteria hierarchies. (a) Release scheduling; (b) Machine scheduling. Principle of approximate reasoning. Page xiv

**Structure**of instruction program. Availability of instructors. PERT output. Availability of weeks for courses. First week's final schedule. Cluster centers of nine optimal classes. Dynamic features describing bank customers. Page 4

For creditworthiness the concept

For creditworthiness the concept

**structure**shown in figure 1–1, which has a symmetrical**structure**, was developed in consultation with 50 credit clerks of banks. Credit experts distinguish between the financial basis and the personality ...### What people are saying - Write a review

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### Contents

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11 | |

16 | |

22 | |

29 | |

Criteria for Selecting Appropriate Aggregation Operators | 43 |

The Extension Principle and Applications | 54 |

Special Extended Operations | 61 |

Applicationoriented Modeling of Uncertainty | 111 |

Linguistic Variables | 140 |

Fuzzy Data Bases and Queries | 265 |

Decision Making in Fuzzy Environments | 329 |

Applications of Fuzzy Sets in Engineering and Management | 371 |

Empirical Research in Fuzzy Set Theory | 443 |

Future Perspectives | 477 |

181 | 485 |

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### Common terms and phrases

aggregation algorithm analysis applications approach appropriate approximately areas assignment assume base called chapter classical clustering compute concepts considered constraints contains corresponding crisp criteria customers decision defined definition degree of membership depends described determine discussed distribution domain elements engineering example exist expert systems expressed extension Figure fuzzy control fuzzy numbers fuzzy set theory given goal human important indicate inference input instance integral interpreted intersection interval knowledge linguistic variable logic mathematical mean measure membership function methods normally objective objective function observed obtain operators optimal positive possible probability problem programming properties provides reasoning relation representing require respect rules scale shown shows similarity situation solution space specific statement structure suggested t-norms Table tion true truth uncertainty values Zadeh