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FUZZY
2004
Springer
131views Fuzzy Logic» more  FUZZY 2004»
13 years 10 months ago
Approximation of Fuzzy Functions by Extended Fuzzy Transforms
Martin Stepnicka, Stephan Lehmke
FSS
2011
82views more  FSS 2011»
12 years 8 months ago
Fuzzy transforms of higher order approximate derivatives: A theorem
In many practical applications, it is useful to represent a function f(x) by its fuzzy transform, i.e., by the “average” values Fi = f(x) · Ai(x) dx Ai(x) dx over different ...
Irina Perfilieva, Vladik Kreinovich
ISCI
1998
91views more  ISCI 1998»
13 years 4 months ago
The Improper Fuzzy Riemann Integral and its Numerical Integration
The improper fuzzy Riemann integral and its numerical integration are proposed in this paper. Under the setting of the improper fuzzy Riemann integral, we can ®nd the expectation...
Hsien-Chung Wu
AFS
2011
49views more  AFS 2011»
12 years 4 months ago
Towards an (Even More) Natural Probabilistic Interpretation of Fuzzy Transforms (and of Fuzzy Modeling)
In many practical applications, it turns out to be useful to use the notion of fuzzy transform: once we have functions A1(x) ≥ 0, . . . , An ≥ 0, with n∑ i=1 Ai(x) = 1, we c...
Irina Perfilieva, Vladik Kreinovich
RSCTC
2004
Springer
157views Fuzzy Logic» more  RSCTC 2004»
13 years 10 months ago
Rough Approximations under Level Fuzzy Sets
The combination of fuzzy set and rough set theories lead to various models. Functional and set approaches are two categories based on different fuzzy representations. In this pape...
W.-N. Liu, Jingtao Yao, Yiyu Yao