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Trapezoidal approximation-preserving the fuzziness of a fuzzy number
2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, 2012Fuzziness 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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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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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, 1989Abstract We present a fuzzy ranking of fuzzy numbers and then briefly discuss two applications.
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Metric Topology of Fuzzy Numbers and Fuzzy Analysis
2000This 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
2010We 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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Fuzzy Broad Learning System: A Novel Neuro-Fuzzy Model for Regression and Classification
IEEE Transactions on Cybernetics, 2020Philip N L Chen, Feng Shuang
exaly
Fuzzy Numbers and Their Applications
Fuzzy Sets and Systems, 2014Przemyslaw Grzegorzewski +1 more
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