## Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected PapersThis book consists of selected papers written by the founder of fuzzy set theory, Lotfi A Zadeh. Since Zadeh is not only the founder of this field, but has also been the principal contributor to its development over the last 30 years, the papers contain virtually all the major ideas in fuzzy set theory, fuzzy logic, and fuzzy systems in their historical context. Many of the ideas presented in the papers are still open to further development. The book is thus an important resource for anyone interested in the areas of fuzzy set theory, fuzzy logic, and fuzzy systems, as well as their applications. Moreover, the book is also intended to play a useful role in higher education, as a rich source of supplementary reading in relevant courses and seminars.The book contains a bibliography of all papers published by Zadeh in the period 1949-1995. It also contains an introduction that traces the development of Zadeh's ideas pertaining to fuzzy sets, fuzzy logic, and fuzzy systems via his papers. The ideas range from his 1965 seminal idea of the concept of a fuzzy set to ideas reflecting his current interest in computing with words — a computing in which linguistic expressions are used in place of numbers.Places in the papers, where each idea is presented can easily be found by the reader via the Subject Index. |

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粒计算（Granular Computing, GrC）是模拟人类思考问题和解决大规模复杂问题的自然模式的新理论。自Zadeh教授于 1979年发表论文“Fuzzy Sets and Information Granularity”以来，粒计算得到了国际上众多研究人员的关注，由T. Y. Lin教授等人发起的粒计算国际会议从2005年开始每年召开。

### Contents

Bibliography of Papers by Lotfi A Zadeh | 7 |

Fuzzy sets 1 | 21 |

Fuzzy sets and systems 2 | 35 |

Abstraction and pattern classification 3 | 46 |

Shadows of fuzzy sets 4 | 55 |

Note on fuzzy languages 8 | 69 |

Towards a theory of fuzzy systems 10 | 83 |

Quantitative fuzzy semantics 11 | 105 |

Liars paradox and truthqualification principle 41 | 449 |

A framework for the analysis of humanistic systems 49 | 464 |

Possibility theory and soft data analysis 50 | 481 |

Testscore semantics for natural languages and meaning representation | 542 |

A note on prototype theory and fuzzy sets 54 | 587 |

Propositions dispositions and canonical forms 59 | 594 |

Precisiation of meaning via translation into PRUF 65 | 614 |

Fuzzy probabilities 70 | 643 |

A rationale for fuzzy control 15 | 123 |

On fuzzy algorithms 16 | 129 |

Fuzzy languages and their relation to human and machine intelligence 18 | 148 |

On fuzzy mapping and control 20 | 180 |

On the analysis of largescale systems 24 | 195 |

Calculus of fuzzy restrictions 26 | 210 |

Fuzzy logic and approximate reasoning 27 | 238 |

The linguistic approach and its application to decision analysis 29 | 260 |

Local and fuzzy logics 30 | 283 |

Linguistic characterization of preference relations as a basis for choice | 336 |

Fuzzy sets and their application to pattern classification and clustering analysis 34 | 355 |

Fuzzy sets 38 | 394 |

Fuzzy sets and information granularity 40 | 433 |

A formalization of commonsense reasoning based on fuzzy logic 73 | 653 |

A simple view of the DempsterShafer theory of evidence and its implication | 674 |

Outline of a computational approach to meaning and knowledge representation | 680 |

Outline of a theory of usuality based on fuzzy logic 80 | 694 |

A computational theory of dispositions 84 | 713 |

Fuzzy sets usuality and commonsense reasoning 85 | 738 |

Dispositional logic 88 | 759 |

Fuzzy logic neural networks and soft computing 99 | 775 |

The role of fuzzy logic in modeling identification and control 100 | 783 |

Soft computing and fuzzy logic 102 | 796 |

Probability theory and fuzzy logic are complementary rather than competitive 103 | 805 |

821 | |

### Common terms and phrases

analysis application approximate reasoning approximately equal associated assume basic BELLMAN AND L. A. cartesian product characterized compatibility function Computer concept constraint context-free grammar cylindrical extension defined definition degree denotes equivalent example expressed extension principle finite fuzzy algorithm fuzzy languages fuzzy logic fuzzy proposition fuzzy relation fuzzy restriction fuzzy subset Fuzzy Systems given grade of membership HA(X inference Information input-output pairs intersection interval L. A. Zadeh labeled linguistic approach linguistic truth-values linguistic values linguistic variable mapping Math mathematical meaning membership function natural languages nonfuzzy notion objects ordered pairs pattern classification Pattern Recognition possibility distribution precise primary terms probability problem Proc R. E. BELLMAN real numbers relational assignment equations representing respectively rule of inference Sciences semantic rule specifically strings supremum system theory tall theory of fuzzy tion translation rules true Type unit interval universe of discourse young