Results 161 to 170 of about 5,089 (201)
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Fuzzy arithmetic on LR fuzzy numbers with applications to fuzzy programming
Journal of Intelligent & Fuzzy Systems, 2015In practice, some special LR fuzzy numbers, like the triangular fuzzy number, the Gaussian fuzzy number and the Cauchy fuzzy number, are widely used in many areas to deal with various vague information. With regard to these special LR fuzzy numbers, called regular LR fuzzy numbers in this paper, an operational law is proposed for fuzzy arithmetic ...
Jian Zhou 0003, Fan Yang, Ke Wang 0004
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Gradual interval arithmetic and fuzzy interval arithmetic
Granular Computing, 2019This paper proposes an analysis of and a reflection on interval arithmetic (IA) and its extension to gradual interval arithmetic (GIA). Through this reflection, an overview of a part of IA that is directly related to fuzzy interval arithmetic (FIA) is analyzed, compared, and categorized according to two main families of IA: standard interval arithmetic
Reda Boukezzoula +3 more
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On the Weighted Arithmetic Mean Fuzzy Filter
2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2015Noise reduction is a fundamental step in many image processing and computer vision applications. In recent years, several noise filters especially devoted to the removal of high density salt and pepper noise, as a particular case of impulse noise, have been proposed.
Manuel González Hidalgo +3 more
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Type-2 fuzzy variables and their arithmetic
Soft Computing, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhi-Qiang Liu, Yan-Kui Liu
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Fuzzy Arithmetic for Uncertainty Analysis
2013When the theory of fuzzy sets arose as a new mathematical concept in the field of information processing some 50 years ago, it rapidly advanced to becoming a well-established scientific discipline and a challenging object of both theoretical research and practical application. Since its introduction by Lotfi A.
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Fuzzy Set Transformation and Fuzzy Arithmetic
2020The chapter elaborates on the ways of transforming fuzzy sets through functions: one of the fundamental concepts of processing fuzzy sets. The extension principle is discussed in detail. Two key ways of mapping fuzzy sets are discussed: the one based on the representation theorem (which directly links to the mapping realized in interval analysis) and ...
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Complex fuzzy arithmetic aggregation operators
Journal of Intelligent & Fuzzy Systems, 2019A complex fuzzy set, characterized by complex-valued membership functions, is a generalization of a fuzzy set. In this paper, we present complex fuzzy arithmetic aggregation (CFAA) operators, complex fuzzy weighted arithmetic aggregation (CFWAA) operators.
Lvqing Bi +3 more
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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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A probabilistic approach to the arithmetics of fuzzy numbers
Fuzzy Sets and Systems, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2001
Fuzzy numbers may be applied, for example, in the modeling of a system of a known input/output mapping given in terms of a conventional mathematical model y = f (X), where the input signals cannot be measured precisely but only approximately, e.g.: $$\begin{array}{*{20}{c}} {{x_1} = approx.9,}\\ {{x_1} = approx.10,}\\ {y = {x_1} + {x_2}.} \end ...
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Fuzzy numbers may be applied, for example, in the modeling of a system of a known input/output mapping given in terms of a conventional mathematical model y = f (X), where the input signals cannot be measured precisely but only approximately, e.g.: $$\begin{array}{*{20}{c}} {{x_1} = approx.9,}\\ {{x_1} = approx.10,}\\ {y = {x_1} + {x_2}.} \end ...
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