Titlebook: Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their ; Olga Kosheleva,Sergey P. Shary,Roman

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Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their

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Danny Van Den Bulcke,Haiyan Zhanged primitives and gave a fuzzification of Euclid’s first postulate by using of our fuzzy logic. Fuzzy equivalence relation “Extended lines sameness” is introduced. For its approximation we use fuzzy conditional inference, which is based on proposed fuzzy “Degree of indiscernibility” and “Discernibil

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1860-949X actitioners interested in data processing under uncertainty, and an introduction to the latest trends and techniques in this area, suitablefor graduate students. .978-3-030-31043-1978-3-030-31041-7Series ISSN 1860-949X Series E-ISSN 1860-9503

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Constructive Continuity of Increasing Functionscular, it is shown that for each compact interval . which has end points in . and is contained in the interior of .,  and for each . there exist points . of . such that . whenever . and . for each .. As a consequence, there exists a sequence . in . such that . is continuous at each point of . that i

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A Constructive Framework for Teaching Discrete Mathematics informal set theory of Cantor. Here, the axioms of ZFC are explained and illustrated for a general math and computer science audience. Consequences of, and historical objections to the axioms are also discussed. It is argued that the currently orthodox framework has some substantial drawbacks for t

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Fuzzy Logic for Incidence Geometrytion constraints to coordinate points, the geometric primitives point, line, incidence and equality are interpreted as fuzzy predicates of a first order language. An additional predicate for the “distinctness” of point like objects is also used. Fuzzy Logic [.] is discussed as a reasoning system for

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How to Enhance, Use and Understand Fuzzy Relational Compositionseginning of their development. We follow the original works aiming at medical diagnosis, where the compositions were actually used for a sort of classification and/or pattern recognition based on expert knowledge stored in the used fuzzy relations. We provide readers with short repetition of theoret