Fuzzy Logic

Fuzzy Logic
By:G. Gerla
Published on 2013-03-09 by Springer Science & Business Media

Fuzzy logic in narrow sense is a promising new chapter of formal logic whose basic ideas were formulated by Lotfi Zadeh (see Zadeh [1975]a). The aim of this theory is to formalize the |approximate reasoning| we use in everyday life, the object of investigation being the human aptitude to manage vague properties (as, for example, |beautiful|, |small|, |plausible|, |believable|, etc. ) that by their own nature can be satisfied to a degree different from 0 (false) and I (true). It is worth noting that the traditional deductive framework in many-valued logic is different from the one adopted in this book for fuzzy logic: in the former logics one always uses a |crisp| deduction apparatus, producing crisp sets of formulas, the formulas that are considered logically valid. By contrast, fuzzy logical deductive machinery is devised to produce a fuzzy set of formulas (the theorems) from a fuzzy set of formulas (the hypotheses). Approximate reasoning has generated a very interesting literature in recent years. However, in spite of several basic results, in our opinion, we are still far from a satisfactory setting of this very hard and mysterious subject. The aim of this book is to furnish some theoretical devices and to sketch a general framework for fuzzy logic. This is also in accordance with the non Fregean attitude of the book.

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Book which was published by Springer Science & Business Media since 2013-03-09 have ISBNs, ISBN 13 Code is 9789401596602 and ISBN 10 Code is 9401596603

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