Results 141 to 150 of about 3,350 (195)

On Fuzzy RDM-Arithmetic

2016
The paper presents notion of horizontal membership function (HMF) and based on it fuzzy, relative distance measure (fuzzy RDM) arithmetic that is compared with standard fuzzy arithmetic (SF arithmetic). Fuzzy RDM-arithmetic possess such mathematical properties which allow for achieving complete fuzzy solution sets of problems, whereas SF-arithmetic, in
Andrzej Piegat, Marek Landowski
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Fuzzy Arithmetic-Based Interpolative Reasoning

IFAC Proceedings Volumes, 1997
Abstract FAIR - Fuzzy Arithmetic based Interpolative Reasoning is presented. Linguistic rules of the Mamdani type with fuzzy numbers as consequents are used in an inference mechanism similar to that of the Takagi-Sugeno model. The inference result is a weighted sum of fuzzy numbers calculated by means of the extension principle.
M. Setnes, U. Kaymak, H.R. van Nauta Lemke, H.B. Verbruggen   +3 more
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Fuzzy Set Transformation and Fuzzy Arithmetic

2020
The 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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Why Multidimensional Fuzzy Arithmetic?

2018
In the paper authors try to convince readers that application of multidimensional fuzzy arithmetic (MFAr) is useful because this arithmetic delivers more precise solutions of uncertain problems than low-dimensional fuzzy arithmetic, which is mostly used at present.
Andrzej Piegat, Marek Landowski
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Interpolative model for fuzzy arithmetic

Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063), 2002
Standard model of fuzzy computations is based on extension principle. It is known to work well, in practice, only for continuous fuzzy numbers, while producing unintuitive results when one or more arguments are discrete. It is also computationally cumbersome for all but linear operations. Another model was proposed for trapezoidal numbers only.
Ramer, Arthur, Bouchon-Meunier, Bernadette, Do Carmo Nicoletti, Maria, Marsala, Christophe, Rifqi, Maria   +4 more
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The fuzzy arithmetic mean

Fuzzy Sets and Systems, 1999
The fuzzy average and the fuzzy arithmetic mean are represented in this paper. It has been proved that with a theorem the fuzzy arithmetic mean converges to the normal arithmetic mean. It is shown how to use the fuzzy average, which is compared with fuzzy control rules with an example.
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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.
P. Victor, A. Vroman, G. Deschrijver, E.E. Kerre   +3 more
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Complex fuzzy arithmetic aggregation operators

Journal of Intelligent & Fuzzy Systems, 2019
A 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.
Bi, Lvqing, Dai, Songsong, Hu, Bo, Li, Sizhao   +3 more
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Extension of the Fuzzy Database with Fuzzy Arithmetic

IFAC Proceedings Volumes, 1983
Abstract The fuzzy relational database model originated by the authors permits fuzzy domain values from a discrete, finite universe. The model is extended here by demonstrating that fuzzy numbers may be employed as domain values without loss of consistency with respect to representation or the relational algebra.
B.P. Buckles, F.E. Petry
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Fuzzy logic and arithmetical hierarchy

Fuzzy Sets and Systems, 1995
For fuzzy logic in the sense of \textit{J. Pavelka} [Z. Math. Logik Grundlagen Math. 25, 45-52, 119-134, 447-464 (1979; Zbl 0435.03020, Zbl 0446.03015, and Zbl 0446.03016)], i.e. for an extension of Łukasiewicz's \([0,1]\)-valued propositional logic with graded notions of proof and of entailment and with truth degree constants for all truth degrees ...
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