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Fuzzy Arithmetic with Parametric LR Fuzzy Numbers. [PDF]

, 2009
In this paperwe suggest and describe a new family of parametric representations for LR fuzzy numbers and use them for fuzzy calculations and ...
SORINI, LAERTE, STEFANINI, LUCIANO
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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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Real-Time Constrained Fuzzy Arithmetic

IEEE Transactions on Fuzzy Systems, 2009
Klir introduced constrained fuzzy arithmetic (CFA) as a solution to the unnecessary precision loss when dealing with fuzzy quantities that represent linguistic variables. Since then, some attempts have been made to make CFA efficient, but none of these solutions is suitable for real-time applications.
Patricia Victor, Annelies Vroman, Glad Deschrijver, Etienne E. Kerre   +3 more
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A probabilistic approach to the arithmetics of fuzzy numbers

Fuzzy Sets and Systems, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Arithmetic of Fuzzy Sets

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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Cardinality approach to fuzzy number arithmetic

IEEE Transactions on Fuzzy Systems, 2005
To solve problems from the area of computing with words, arithmetic operations often have to be carried out on fuzzy numbers. The author proposes to call fuzzy numbers fuzzy sets of numbers (FSofN) to emphasize the fact that they are sets of many numbers (in the continuous case of infinitely many numbers) and not one, single number as the name fuzzy ...
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Fuzzy arithmetic

2004
M Delgado, M A Vila
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(Ir)relevance of interactivity in fuzzy arithmetic

2014
Summary: We put forward a criterion covering quite a large class of interactive continuous fuzzy numbers, which establishes when the interactivity between the two fuzzy operands is irrelevant to calculate the fuzzy result of a two-argument operation.
Franzoi, Laura, SGARRO, ANDREA
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Fuzzy Arithmetic

2015
Enric Trillas, Luka Eciolaza
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Fuzzy-Affine Arithmetic

2020
Snehashish Chakraverty, Saudamini Rout
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