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Feasible algorithms for approximate reasoning using fuzzy logic
Authors:JF Baldwin  NCF Guild
Institution:Department of Engineering Mathematics, Queens Building, University of Bristol, Bristol BS8 1TR, Great Britain
Abstract:Deductive reasoning with classical logic is hampered when imprecision is present in the variables, although human reasoning can cope quite adequately with vague concepts. A new approach to reasoning which allows imprecise conclusions to be drawn consistently from imprecise premises was introduced by Baldwin 2]. This method is economical in calculation as it avoids the high dimensionality that fuzzy set representations often involve.This paper briefly reviews the method from an operational viewpoint, isolating the individual processes that are used in the method. A feasible algorithm for computing each process is then presented.It is assumed that the reader is familiar with the concept of, and operations on, fuzzy sets introduced by Zadeh 14].
Keywords:Approximate reasoning  Fuzzy logic  Fuzzy truth value restrictions  Algorithms computing
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