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Titlebook: Algebraic Techniques and Their Use in Describing and Processing Uncertainty; To the Memory of Pro Hung T. Nguyen,Vladik Kreinovich Book 202

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發(fā)表于 2025-3-21 16:47:22 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Algebraic Techniques and Their Use in Describing and Processing Uncertainty
期刊簡稱To the Memory of Pro
影響因子2023Hung T. Nguyen,Vladik Kreinovich
視頻videohttp://file.papertrans.cn/153/152711/152711.mp4
發(fā)行地址Presents a wide range of algebraic techniques and their use in describing and processing uncertainty.Features papers dedicated to Elbert Walker (1930–2018) and commemorating his work.Written by expert
學(xué)科分類Studies in Computational Intelligence
圖書封面Titlebook: Algebraic Techniques and Their Use in Describing and Processing Uncertainty; To the Memory of Pro Hung T. Nguyen,Vladik Kreinovich Book 202
影響因子This book discusses heuristic methods – methods lacking a solid theoretical justification – which are ubiquitous in numerous application areas, and explains techniques that can make heuristic methods more reliable. Focusing on algebraic techniques, i.e., those that use only a few specific features of a situation, it describes various state-of-the-art applications, ranging from fuzzy methods for dealing with imprecision to general optimization methods and quantum-based methods for analyzing economic phenomena. The book also includes recent results from leading researchers, which could (and hopefully will) provide the basis for future applications. As such, it is a valuable resource for mathematicians interested in potential applications of their algebraic results and ideas, as well as for application specialists wanting to discover how algebraic techniques can help in their domains.?
Pindex Book 2020
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沙發(fā)
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板凳
發(fā)表于 2025-3-22 04:29:17 | 只看該作者
On the Phenomenology of Rubberlike Behavioregrally closed elementary divisor domains. The main result (Theorem .) is a Krull-Schmidt-Azumaya type theorem: if a module . is a direct sum of finite rank torsion-free modules each of which is quasi-isomorphic to a member of a semi-rigid system with the mentioned type of endomorphism ring, then ev
地板
發(fā)表于 2025-3-22 05:28:19 | 只看該作者
Quick Review of Field Theories,he topos of étalé spaces over the topological space . with lower topology. In this topos, the fuzzy subsets of a set . are the subobjects of the constant étalé . where . has the discrete topology. Here we show that the type-2 fuzzy truth value algebra is isomorphic to the complex algebra formed from
5#
發(fā)表于 2025-3-22 12:00:25 | 只看該作者
Field Theory of Deformation and Fracture,rogramming problem. This problem is known to be not easy to solve. Reasonably natural algorithms—such as iterative constraint satisfaction or simplex method—often require exponential time. There exist efficient polynomial-time algorithms, but these algorithms are complicated and not very intuitive.
6#
發(fā)表于 2025-3-22 16:10:02 | 只看該作者
https://doi.org/10.1007/978-3-7643-8417-3ming. In many practical situations, more efficient algorithms for solving new complex equations appear when it turns out that these equations can be reduced to equations from other application areas—equations for which more efficient algorithms are already known. It turns out that some equations in
7#
發(fā)表于 2025-3-22 20:28:12 | 只看該作者
Deformation oder Transformation?reasing bijection) of the set of values. This is the case of all involutive fuzzy negations; an elegant proof was given by Nguyen and Walker (A first course in fuzzy logic, 2nd edn. Chapman & Hall/CRC, Boca Raton, 2000 [.]) . The situation is more tricky for binary operations, triangular norms, tria
8#
發(fā)表于 2025-3-22 21:15:53 | 只看該作者
Deformation qua Externalisierung?ning over three decades. His generosity,?kindness, and mindfullness,?had a transformational effect on all those close to him and?will forever remain etched in memory. He leaves behind a legacy of optimism?and hope that anything is possible?if one tries hard enough, and anything can be learned if one
9#
發(fā)表于 2025-3-23 03:19:06 | 只看該作者
Renationalisierung der Sozialpolitikn-classical logics). The first class is viewed as an algebraic semantics of some logic, whereas the other class constitutes Kripke-style semantics of this logic. The duality principle underlying the duality via truth states that algebras and their corresponding frames provide equivalent semantics fo
10#
發(fā)表于 2025-3-23 05:49:14 | 只看該作者
Deformation qua Externalisierung?Every matrix is permutation equivalent to a matrix that is the direct sum of indecomposable submatrices, and for such a decomposition the number and the dimensions of the summands are uniquely determined. By the tool, . this combinatorial problem turns into an algebraic problem.
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