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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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Algebraic Techniques and Their Use in Describing and Processing Uncertainty978-3-030-38565-1Series ISSN 1860-949X Series E-ISSN 1860-9503
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Specker Algebras: A Survey,ero element of which is faithful. Such algebras have arisen in the study of .-groups, idempotent-generated rings, Boolean powers of commutative rings, Pierce duality, and rings of continuous real-valued functions. We trace the origin of this notion from early studies of subgroups of bounded integer-
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,Least Square Approximations and Linear Values of Cooperative Games,tion framework to explain and clarify this phenomenon in a general setting. The main result shows that every linear value results from some least square approximation problem and that, conversely, every least square approximation problem with linear constraints yields a linear value. This approach i
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Elementary Divisor Domains as Endomorphism Rings,egrally 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
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A Topos View of the Type-2 Fuzzy Truth Value Algebra,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
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Why Bohmian Approach to Quantum Econometrics: An Algebraic Explanation,ming. 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
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In Memory of Dr. Elbert A. Walker,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
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