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Saturated Models in Mathematical Fuzzy Logic [PDF]
This paper considers the problem of building saturated models for first-order graded logics. We define types as pairs of sets of formulas in one free variable which express properties that an element is expected, respectively, to satisfy and to falsify. We show, by means of an elementary chains construction, that each model can be elementarily extended
Badia G., Noguera C.
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Mathematical Fuzzy Logic in the Emerging Fields of Engineering, Finance, and Computer Sciences [PDF]
Mathematical fuzzy logic (MFL) specifically targets many-valued logic and has significantly contributed to the logical foundations of fuzzy set theory (FST).
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Pemodelan Sistem Fuzzy dengan Menggunakan Matlab [PDF]
Fuzzy logic is a method in soft computing category, a method that could process uncertain, inaccurate, and less cost implemented data. Some methods in soft computing category besides fuzzy logic are artificial network nerve, probabilistic reasoning, and ...
Salman, A. G. (Afan)
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From Fuzzy Sets to Mathematical Fuzzy Logic [PDF]
The authors acknowledge financial support by the Spanish FEDER/MINECO project TIN2015-71799-C2-1-P.
Esteva, Francesc+2 more
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Linguistic Interpretation of Mathematical Morphology [PDF]
Mathematical Morphology is a theory based on geometry, algebra, topology and set theory, with strong application to digital image processing. This theory is characterized by two basic operators: dilation and erosion.
Ballarin, Virginia+4 more
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Fuzzy Sets, Fuzzy Logic and Their Applications 2020 [PDF]
The present book contains the 24 total articles accepted and published in the Special Issue “Fuzzy Sets, Fuzzy Logic and Their Applications, 2020” of the MDPI Mathematics journal, which covers a wide range of topics connected to the theory and ...
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COMPARATIVE STUDY OF FUZZY MATHEMATICS AS FUZZY SETS AND FUZZY LOGICS
Fuzzy mathematics is considered to be an important aspect in the field of mathematics that interprets the uncertainties and deals with the unreliable information and vagueness of data. In this chapter we shall discuss the concept of fuzzy mathematics as fuzzy set and fuzzy logics and the beginning of fuzzy set theory and the fuzzy logics with their ...
Sonal Dixit, Kirti Verma
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Assessing Students’ Mathematical Knowledge with Fuzzy Logic
Assessing student mathematical knowledge is an important factor in the mathematics learning process because students obtain important feedback to improve their knowledge and learning. Despite the importance of student assessment, several researchers have shown that student grades comprise noncognitive and metacognitive factors and teachers’ prejudices ...
Daniel Doz, Darjo Felda, Mara Cotič
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AbstractThe last decade has seen an enormous development in infinite-valued systems and in particular in such systems which have become known as mathematical fuzzy logics.The paper discusses the mathematical background for the interest in such systems of mathematical fuzzy logics, as well as the most important ones of them.
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From fuzzy logic to fuzzy mathematics: A methodological manifesto
The paper states the problem of fragmentation of contemporary fuzzy mathematics and the need of a unified methodology and formalism. We formulate several guidelines based on Hajek's methodology in fuzzy logic, which enable us to follow closely the constructions and methods of classical mathematics recast in a fuzzy setting.
Běhounek, L. (Libor)+1 more
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