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Trapezoidal approximation-preserving the fuzziness of a fuzzy number

2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, 2012
Fuzziness is an important index to capture the relevant information about the fuzzy number's ill-defined magnitude. In this paper, we propose a new trapezoidal approximation of an arbitrary fuzzy number, which preserves its fuzziness. Some properties of translation invariance, scale invariance, preservation of expected value, width and fuzziness of ...
Zhongxing Wang 0001   +2 more
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On Interval Fuzzy Numbers

2011 Workshop-School on Theoretical Computer Science, 2011
Interval fuzzy sets allow us to deal not only with vagueness (lack of sharp class boundaries), but also with uncertainty (lack of information). The aim of this tutorial is to present some basic concepts about interval fuzzy numbers. Several concepts related to fuzzy sets are extended to the interval approach.
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A fuzzy ranking of fuzzy numbers

Fuzzy Sets and Systems, 1989
Abstract We present a fuzzy ranking of fuzzy numbers and then briefly discuss two applications.
openaire   +1 more source

Metric Topology of Fuzzy Numbers and Fuzzy Analysis

2000
This chapter gives an overview of distances between fuzzy numbers and the topology that these metrics induce. The metric structure allows the development of fuzzy analysis and various applications to interpolation, approximation and differential equations.
Diamond, P. M., Kloeden, P.
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New Tools in Fuzzy Arithmetic with Fuzzy Numbers

2010
We present new tools for fuzzy arithmetic with fuzzy numbers, based on the parametric representation of fuzzy numbers and new fuzzy operations, the generalized difference and the generalized division of fuzzy numbers. The new operations are described in terms of the parametric LR and LU representations of fuzzy numbers and the corresponding algorithms ...
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On Alexandrov L-fuzzy nearness (II)

Soft Computing, 2022
Ahmed A Ramadan, Enas H Elkordy
exaly  

Intuitionistic Fuzzy Aggregation Operators

IEEE Transactions on Fuzzy Systems, 2007
Xu Zeshui
exaly  

Neuro-fuzzy modeling and control

Proceedings of the IEEE, 1995
Chuen-Tsai Sun, J -S R Jang
exaly  

Fuzzy Broad Learning System: A Novel Neuro-Fuzzy Model for Regression and Classification

IEEE Transactions on Cybernetics, 2020
Philip N L Chen, Feng Shuang
exaly  

Fuzzy Numbers and Their Applications

Fuzzy Sets and Systems, 2014
Przemyslaw Grzegorzewski   +1 more
openaire   +2 more sources

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