Results 261 to 270 of about 1,598,904 (304)
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Fuzzy Sets and Systems, 2004
The authors introduce some kind of covariance between marginal possibility distributions and use it as a measure of interactivity between these marginal distributions. Some examples illustrate the usefulness of this notion. The general mathematical background seems to be the theory of copulas.
Robert Fullér, Péter Majlender
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The authors introduce some kind of covariance between marginal possibility distributions and use it as a measure of interactivity between these marginal distributions. Some examples illustrate the usefulness of this notion. The general mathematical background seems to be the theory of copulas.
Robert Fullér, Péter Majlender
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Fuzzy Numbers and Fuzzy Arithmetic
2008The arithmetical and topological structures of fuzzy numbers have been developed in the 1980s and this enabled to design the elements of fuzzy calculus (see [6, 7]); Dubois and Prade stated the exact analytical fuzzy mathematics and introduced the well-known LR model and the corresponding formulas for the fuzzy operations. For the basic concepts see, e.
STEFANINI LUCIANO +2 more
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Information Sciences, 1989
By Zadeh's extension principle a binary operation * on the real numbers \({\mathbb{R}}\) is extended to fuzzy numbers \(f_ i: {\mathbb{R}}\to [0,1]\), \(i=1,2\), as follows \((f_ 1*f_ 2)(z)=\bigvee \{f_ 1(x_ 1)\wedge f_ 2(x_ 2):\) \(x_ 1*x_ 2=z\}\). Then the equation \(f*x=g\) is considered.
Loredana Biacino, Ada Lettieri
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By Zadeh's extension principle a binary operation * on the real numbers \({\mathbb{R}}\) is extended to fuzzy numbers \(f_ i: {\mathbb{R}}\to [0,1]\), \(i=1,2\), as follows \((f_ 1*f_ 2)(z)=\bigvee \{f_ 1(x_ 1)\wedge f_ 2(x_ 2):\) \(x_ 1*x_ 2=z\}\). Then the equation \(f*x=g\) is considered.
Loredana Biacino, Ada Lettieri
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2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2013
In this paper we build the concept of fuzzy quaternion numbers as a natural extension of fuzzy real numbers. We discuss some important concepts such as their arithmetic properties, distance, supremum, infimum and limit of sequences.
Ronildo P. A. Moura +3 more
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In this paper we build the concept of fuzzy quaternion numbers as a natural extension of fuzzy real numbers. We discuss some important concepts such as their arithmetic properties, distance, supremum, infimum and limit of sequences.
Ronildo P. A. Moura +3 more
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On the centroids of fuzzy numbers
Fuzzy Sets and Systems, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ying-Ming Wang 0001 +3 more
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Fuzzy number-valued fuzzy measure and fuzzy number-valued fuzzy integral on the fuzzy set
Fuzzy Sets and Systems, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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PROCESSING OF FUZZY NUMBERS BY FUZZY RELATION EQUATIONS
Kybernetes, 1986In this paper we deal with fuzzy numbers that modelize uncertain quantities present in many fields of applications, such as man‐machine systems. Main attention is paid to inverse operations for fuzzy numbers which allow one to solve equations or systems of equations with fuzzy numbers.
A. Di Nola, W. Pedrycz, SESSA, SALVATORE
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Ranking Fuzzy Numbers Based on the Mean and Fuzzy Degree of Fuzzy Number
Applied Mechanics and Materials, 2012In this paper, a novel approach to ranking fuzzy numbers based on the mean and the fuzzy degree of fuzzy number is proposed. In the approach, a new ranking index that is comprehensive consideration of the mean and the fuzzy degree of fuzzy number is constructed, and then the properties of the ranking index are given.
Gui Xiang Wang, Guang Tao Zhou
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Platform type fuzzy number and separability of fuzzy number space
Fuzzy Sets and Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fachao Li 0001 +3 more
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Trapezoidal approximations of fuzzy numbers
Fuzzy Sets and Systems, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Przemyslaw Grzegorzewski, Edyta Mrówka
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