Fuzzy sets: History and basic notions.

*(English)*Zbl 0967.03047
Dubois, Didier (ed.) et al., Fundamentals of fuzzy sets. Foreword by Lotfi A. Zadeh. Dordrecht: Kluwer Academic Publishers. Handb. Fuzzy Sets Ser. 7, 21-124 (2000).

Summary: This paper is an introduction to fuzzy set theory. It has several purposes. First, it tries to explain the emergence of fuzzy sets from an historical perspective. Looking back to the history of sciences, it seems that fuzzy sets were bound to appear at some point in the 20th century. Indeed, Zadeh’s works have crystallized and popularized a concern that has appeared in the first half of the century, mainly in philosophical circles. Another purpose of the paper is to scan the basic definitions in the field, that are required for a proper reading of the rest of the volume, as well as the other volumes of the Handbooks of Fuzzy Sets Series. This Chapter also contains a discussion on operational semantics of the generally too abstract notion of membership function. Lastly, a survey of variants of fuzzy sets and related matters is provided.

For the entire collection see [Zbl 0942.00007].

For the entire collection see [Zbl 0942.00007].

##### MSC:

03E72 | Theory of fuzzy sets, etc. |

03-03 | History of mathematical logic and foundations |

03-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematical logic and foundations |

03-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to mathematical logic and foundations |

94D05 | Fuzzy sets and logic (in connection with information, communication, or circuits theory) |