Fuzzy Set Theory: Some Aspects of the Early Development

Gottwald, Siegfried

doi:10.1007/978-94-009-6309-2_2

Cited by 9 publications

(6 citation statements)

References 20 publications

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“…In different forms, this idea has been offered and explained e.g. in [16], [18], [21]. This point of view toward fuzzy set theory has been one of the motivations behind the development of mathematical fuzzy logics.…”

Section: Higher Order Fuzzy Logic and Fuzzy Set Theorymentioning

confidence: 98%

Toward Problems for Mathematical Fuzzy Logic

Gottwald

2006

2006 IEEE International Conference on Fuzzy Systems

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Section: Higher Order Fuzzy Logic and Fuzzy Set Theorymentioning

confidence: 98%

Toward Problems for Mathematical Fuzzy Logic

Gottwald

2006

2006 IEEE International Conference on Fuzzy Systems

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“…In different forms, this idea has been offered and explained e.g. in [28,[30][31][32]53]. And it has since been the topic of occasional investigations like in [68,69].…”

Section: Fuzzy Sets Theorymentioning

confidence: 99%

Mathematical fuzzy logic as a tool for the treatment of vague information

Gottwald

2005

Information Sciences

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“…Some aspects of the early developments are described in more details by Gottwald (1984) and Ostasiewicz (1991Ostasiewicz ( , 1992b. The basic philosophical view presented in this section is the one of Ostasiewicz (1992a).…”

Section: The Historical Emergence Of Fuzzy Setsmentioning

confidence: 99%

“…See Gottwald (1984) for an extensive account of the often forgotten works by Klaua (and for their genesis), along with a full bibliography. Gentilhomme (1968) coined the term "ensemble flou" (the French counterpart for "fuzzy set"), without being aware of Zadeh's (1965a) fuzzy sets.…”

Section: Klauamentioning

confidence: 99%

Fuzzy Sets: History and Basic Notions

Dubois¹,

Ostasiewicz

Prade³

2000

The Handbooks of Fuzzy Sets Series

139

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Abstract. 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 cristalized 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.

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Fuzzy Set Theory: Some Aspects of the Early Development

Cited by 9 publications

References 20 publications

Toward Problems for Mathematical Fuzzy Logic

Toward Problems for Mathematical Fuzzy Logic

Mathematical fuzzy logic as a tool for the treatment of vague information

Fuzzy Sets: History and Basic Notions

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