Algebraic techniques and their use in describing and processing uncertainty : to the memory of Professor Elbert A. Walker /: to the memory of Professor Elbert A. Walker. (2020)

• Record Type: Book
• Further Information: Note: Hung T. Nguyen, Vladik Kreinovich, editors.
• Other Names: Nguyen, Hung T, 1944-; Kreinovich, Vladik
• Contents: Intro -- Preface -- Contents -- Specker Algebras: A Survey -- 1 Introduction -- 2 Specker ell-groups -- 3 Specker Algebras -- 4 Classical Cases: Specker mathbbZ-algebras and Specker mathbbR-algebras -- 4.1 Specker mathbbZ-algebras -- 4.2 Specker mathbbR-algebras -- References -- Least Square Approximations and Linear Values of Cooperative Games -- 1 Introduction -- 2 Least Square Approximations and Linear Operators -- 3 Values of Cooperative Games -- 4 Least Square Values -- 4.1 Weighted Approximation -- 4.2 Regular Weights -- 5 Probabilistic Values -- References Elementary Divisor Domains as Endomorphism Rings -- 1 Introduction -- 2 Preliminaries -- 3 Finite Direct Sums -- 4 Infinite Direct Sums -- References -- A Topos View of the Type-2 Fuzzy Truth Value Algebra -- 1 Introduction -- 2 The Type-2 Fuzzy Truth Value Algebra, and Convolution Algebras -- 3 Topos Theory -- 4 The Convolution Algebra from a Topos Perspective -- References -- A Symmetry-Based Explanation of the Main Idea Behind Chubanov's Linear Programming Algorithm -- 1 Introduction: Why Solve Linear Programming Problems, and How These Problems Are Solved Now 3 Direct Decompositions of Matrices -- 4 Matrices with Structure -- 5 Diagonal Equivalence -- Reference -- Generators of Fuzzy Logical Operations -- 1 Basic Fuzzy Logical Operations and Their Generators -- 1.1 Fuzzy Negations -- 1.2 Triangular Norms -- 1.3 Triangular Conorms -- 1.4 Fuzzy Implications -- 2 Problem and Tools for Its Solution -- 2.1 Problem of Computing the Generators -- 2.2 Notation -- 3 Constructions of Generators of Binary Operations -- 3.1 Generators of Triangular Norms -- 3.2 Generators of Fuzzy Implications -- 4 Examples -- 4.1 Generators of Binary Operations 4.2 Back to Generators of Fuzzy Negations -- 5 Conclusions -- References -- An Enjoyable Journey of Research Collaboration with Elbert A. Walker -- 1 Introduction -- 2 Statistics ch93, ch94 -- 3 Decision Theory ch92, ch95 -- 4 Intelligent Systems ch91, ch96, ch97 -- 4.1 Fuzzy Logics ch98 -- References -- In Memory of Dr. Elbert A. Walker -- 1 His Life and Legacy -- 2 The Intersection of Engineering and Mathematics -- Reference -- Duality via Truth for Some Fuzzy Modal Logic -- 1 Introduction -- 2 Preliminaries -- 3 MTL Algebras and Frames -- 4 Modal MTL Algebras and Modal MTL Frames
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource (173 pages)
• Subjects: 512; Algebra; Mathematical analysis; Algebra; Mathematical analysis; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030385651; 3030385655; 3030385647; 9783030385644; 9783030385668; 3030385663; 9783030385675; 3030385671
• Related ISBNs: 9783030385644
• Notes: Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.