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Solving Fuzzy Heat Equation by Fuzzy Laplace Transforms
2010In this paper, we solve the fuzzy heat equations under strongly generalized H-differentiability by fuzzy Laplace transforms. To this end, the original fuzzy heat equation is converted to the corresponding fuzzy two point boundary value problem (FBVP) based on the fuzzy Laplace transform.
Soheil Salahshour, Elnaz Haghi
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Fuzzy Set Transformation and Fuzzy Arithmetic
2020The chapter elaborates on the ways of transforming fuzzy sets through functions: one of the fundamental concepts of processing fuzzy sets. The extension principle is discussed in detail. Two key ways of mapping fuzzy sets are discussed: the one based on the representation theorem (which directly links to the mapping realized in interval analysis) and ...
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Approximation of Fuzzy Numbers by F-Transform
2012The fuzzy transform setting (F-transform) is proposed as a tool for representation and approximation of type-1 and type-2 fuzzy numbers; the inverse F-transform on appropriate fuzzy partition of the membership interval [0,1] is used to characterize spaces of fuzzy numbers in such a way that arithmetic operations are defined and expressed in terms of ...
Luciano Stefanini, Laerte Sorini
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2012
Approximation of an image, a union of spatially—contracted and grayscale modified copies of subsets of itself is known as fractal image coding. Generally, images are considered as function u(x) in \( L^{2} \) or \( L^{\infty } , \) and fractal coding method is developed.
R. Uthayakumar, M. Rajkumar
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Approximation of an image, a union of spatially—contracted and grayscale modified copies of subsets of itself is known as fractal image coding. Generally, images are considered as function u(x) in \( L^{2} \) or \( L^{\infty } , \) and fractal coding method is developed.
R. Uthayakumar, M. Rajkumar
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Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569), 2002
I. Perfilieva, E. Haldeeva
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I. Perfilieva, E. Haldeeva
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Fuzzy transform as a new paradigm in fuzzy modeling
Fuzzy Sets and Systems, 2011Irina Perfilieva, Vladik Kreinovich
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Fuzzy Transforms: A Challenge to Conventional Transforms
2007Publisher Summary This chapter focuses on the notion of a fuzzy transform (F-transform) that explains modeling with fuzzy IF–THEN rules as a specific transformation. This allows the comparison of the success of fuzzy modeling with the success of classical transforms.
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On fuzzy Laplace transform in linearly correlated fuzzy space
Soft Computing, 2022Francielle Santo Pedro +4 more
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A rule-based deep fuzzy system with nonlinear fuzzy feature transform for data classification
Information Sciences, 2023Jianhua Yang, Wei Lu, Liyong Zhang
exaly