Results 111 to 120 of about 466 (158)
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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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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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A concrete reformulation of fuzzy arithmetic
Expert Systems with Applications, 2021Abstract Advancement in fuzzy arithmetic is essential to advancing the applicability of fuzzy set theory (FST) to approximate reasoning problems arose in engineering, medicine, managerial science and many other domains. In the recent FST literature, many of the noteworthy progresses in fuzzy arithmetic have been built upon increasingly sophisticated ...
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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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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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A New Fuzzy Arithmetic for Discrete Fuzzy Numbers
Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007), 2007In this paper, using the representations of discrete fuzzy numbers, we give a new kind of operations of addition and multiplication for discrete fuzzy numbers. Then, we show that the new addition and multiplication keep the closeness of the operation, so they get over the defect that the usual addition and multiplication does not keep the closeness of ...
Guixiang Wang, Chenglin Wen
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Irrelevance in Incomplete Fuzzy Arithmetic
2016 18th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), 2016Irrelevance, a notion which was first put forward by this author jointly with A. Sgarro, is a convenient tool to speed up computations in the arithmetic of interactive fuzzy numbers. In this paper we are trying to understand what happens if the fuzzy quantities one is considering are incomplete, or sub-normal, that is if one allows that a fuzzy ...
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Weak arithmetics of fuzzy numbers
Fuzzy Sets and Systems, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Interpolative model for fuzzy arithmetic
Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063), 2002Standard 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 +4 more
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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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Extension of the Fuzzy Database with Fuzzy Arithmetic
IFAC Proceedings Volumes, 1983Abstract 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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Inclusion principle of fuzzy arithmetic results
Journal of Intelligent & Fuzzy Systems, 2022The paper presents the inclusion principle of fuzzy arithmetic results. This principle explains what features should have the span of the result of calculations realized with use of the fuzzy arithmetic. If some kind of fuzzy arithmetic provides results that do not comply with this principle, it means that the arithmetic has incomplete reliability, has
Piegat, Andrzej, Pluciński, Marcin
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