Results 221 to 230 of about 16,154 (258)

Spaces with fuzzy partitions and fuzzy transform

Soft Computing, 2017
\par The paper considers a categorical approach to the setting of \(F\)-transforms of \textit{I. Perfilieva} [Fuzzy Sets Syst. 157, No. 8, 993--1023 (2006; Zbl 1092.41022)] from approximation theory. The author builds his machinery over an integral commutative quantale \(Q=(Q,\bigvee, \otimes, 1_Q)\) (see, e.g., [\textit{P.
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A note on fuzzy-transform approximation of fuzzy numbers

2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC), 2015
A possibilistic representation of fuzzy numbers/intervals can be obtained in terms of a fuzzy distribution function (the average of the possibility and necessity functions). The fuzzy distribution function is monotonic non decreasing upper-semicontinuous and there exists a simple one-to-one correspondence between the space of such functions and the ...
Lucian C. Coroianu, Luciano Stefanini
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Fuzzy transformation and its applications

Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429), 2004
In this paper, we introduce the basic concepts of the fuzzy transformation (FZT) theory and their applications in image denoising. FZT is a data-adaptive nonlinear transformation, where the transformation matrix is a dynamic real-valued spatial-rank (SR) matrix (i.e., fuzzy SR matrix) generated by using an order invariant membership function.
Yao Nie, Kenneth E. Barner
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Approximation of Fuzzy Functions by Extended Fuzzy Transforms

2006
A fuzzy approximation method called fuzzy transforms for approximation of continuous function is presented in this paper. It is shown how can be fuzzy transforms naturally generalized for functions with more variables. A fuzzy function as an approximated mapping is considered. This leads to an extension of fuzzy transforms for fuzzy function as well as
Martin Stepnicka, Stephan Lehmke
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On the approximation properties of fuzzy transform

Journal of Intelligent & Fuzzy Systems, 2017
In this paper, we continue a study of approximation properties of the fuzzy transform (F-transform) with the partition generated by the Shepard kernel. We make the error estimate in terms of a modulus of continuity which has a higher order than the previously known. Also, we obtain the error estimate of the iterative F-transform-based method for linear
Shokrollah Ziari, Irina Perfilieva
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Fuzzy Transforms in Removing Noise

2006
The technique of fuzzy transform (F-transform for short) has been introduced in [6, 5]. It consists of two phases: direct and inverse. We have proved that the inverse F-transform has good approximation properties and is very simple to use.
Irina Perfilieva, Radek Valásek
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Intuitionistic fuzzy transformation semigroups

Information Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A fuzzy medial axis transformation based on fuzzy disks

Pattern Recognition Letters, 1991
Abstract A fuzzy disk with center P is a fuzzy set in which membership depends only on distance from P. For any fuzzy set ƒ , there is a maximal fuzzy disk gpƒ ⩽ ƒ centered at every point P, and ƒ is the sup of the gpƒ's. (Moreover, if ƒ is fuzzy convex, so is every gpƒ, but not conversely.) We call a set S ƒ of points ...
Sankar K. Pal, Azriel Rosenfeld
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Fuzzy partitions and transformations

Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference, 1994
This paper is devoted to an interpretation of fuzzy sets on the basis of indistinguishability. Here we restrict to indistinguishability induced by tolerance bounds /spl epsiv/ that lead to identifying numbers whose difference is less than /spl epsiv/. We admit the modification of the ordinary distance by scaling functions.
F. Klawonn, R. Kruse
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Building a Fuzzy Transformation System

2006
Multi-adjoint logic programming represents a very recent, extremely flexible attempt for introducing fuzzy logic into logic programming. Inspired by previous approaches largely used in other (crisp) declarative paradigms, in this paper we propose the development of a fold/unfold based transformation system for optimizing such kind of fuzzy logic ...
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