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Approximation of intuitionistic fuzzy numbers by trapezoidal intuitionistic fuzzy numbers
Journal of Intelligent & Fuzzy Systems, 2017The notation of extended intuitionistic fuzzy number is introduced and the representation of the weighted extended trapezoidal intuitionistic approximation of an intuitionistic fuzzy number is given in this paper. The problem related to aggregation is addressed about approximating the given intuitionistic fuzzy numbers or aggregating the given ...
Shuyang Li +2 more
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Fuzzy Portfolio Diversification with Ordered Fuzzy Numbers
2017In this paper, we consider a multi-objective portfolio diversification problem under real constraints in fuzzy environment, where the objective is to minimize the variance of portfolio and maximize expected return rate of portfolio. The return rates of assets are modeled using concept of Ordered Fuzzy Candlesticks, which are Ordered Fuzzy Numbers.
Adam Marszalek, Tadeusz Burczynski
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Fuzzy Numbers and Fuzzy Optimization
2019A fuzzy number is a quantity whose value is imprecise rather than exact as is the case with single-valued number.
Sahidul Islam, Wasim Akram Mandal
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Fuzzy regression by fuzzy number neural networks
Fuzzy Sets and Systems, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
James P. Dunyak, Donald Wunsch
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2005
Algebra of ordered fuzzy numbers (OFN) is defined to handle with fuzzy inputs in a quantitative way, exactly in the same way as with real numbers. Additional two structures: algebraic and normed (topological) are introduced to define a general form of defuzzyfication operators.
Witold Kosinski +2 more
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Algebra of ordered fuzzy numbers (OFN) is defined to handle with fuzzy inputs in a quantitative way, exactly in the same way as with real numbers. Additional two structures: algebraic and normed (topological) are introduced to define a general form of defuzzyfication operators.
Witold Kosinski +2 more
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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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