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Fuzzy Class Theory as Foundations for Fuzzy Mathematics
LPi-omega is a deductive first-order theory over fuzzy logic LPi, which axiomatically captures Zadehs notion of fuzzy set and aims at giving a unified formal framework for a large part of fuzzy mathematics. An over...
AB - Dějiny
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
From Fuzzy Logic to Fuzzy Mathematics: A Methodological Manifesto
the constructions and methods of classical mathematics recast in a fuzzy setting. As a particular solution we propose a three-layer architecture of fuzzy mathematics, with the layers of formal fuzzy logic...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Why Fuzzy Logic?
It is generally understood that fuzzy logic deals with vague, imprecise notions and propositions. In spite of several successful applications, the logician may (and should) ask: is this really a logic? Does it have foundations, ...
BA - Obecná matematika
- 2002 •
- C
Rok uplatnění
C - Kapitola v odborné knize
General Logical Formalism for Fuzzy Mathematics: Methodology and Apparatus
There is a programme in the formal foundations of fuzzy mathematics proposed by the authors, the goal of which is to encompass a large part of existing fuzzy mathematics within a general logical formalism....
AB - Dějiny
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
Fuzzy Class Theory
of fuzzy set, based on formal fuzzy logic. The presented formalism is strong enough to serve as foundations of a large part of fuzzy mathematics. Its essence is elementary fuzzyset theory, cast as two-sor...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Handbook of Mathematical Fuzzy Logic - Vol. 3
foundations of fuzzy set theory or in a mathematical apparatus suiOriginating as an attempt to provide solid logical foundations for fuzzy set and imprecision, Mathematical Fuzzy Logic (...
BA - Obecná matematika
- 2015 •
- O
Rok uplatnění
O - Ostatní výsledky
Handbook of Mathematical Fuzzy Logic - Vol. 1
Originating as an attempt to provide solid logical foundations for fuzzy set and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of mathematical logic. Research in this area f...
BA - Obecná matematika
- 2011 •
- O
Rok uplatnění
O - Ostatní výsledky
Handbook of Mathematical Fuzzy Logic - Vol. 2
Originating as an attempt to provide solid logical foundations for fuzzy set and imprecision, Mathematical Fuzzy Logic (MFL) has become a significant subfield of mathematical logic. Research in this area f...
BA - Obecná matematika
- 2011 •
- O
Rok uplatnění
O - Ostatní výsledky
Fuzzy Sets as a Special Mathematical Model of Vagueness Phenomenon
In the paper, the indeterminacy phenomenon is discussed, that is, a phenomenon having two facets: uncertainty and vagueness. We argue that fuzzy sets are a reasonable mathematical tool for modeling of the latter. The necessary sound...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Are Fuzzy Sets a Reasonable Tool for Modeling Vague Phenomena?
In the paper, the indeterminacy phenomenon is discussed, that is, a phenomenon having two facets: uncertainty and vagueness. We argue that fuzzy sets are a reasonable mathematical tool for modeling of the latter. The necessary sound...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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