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Fuzzy Logic - Mathematical Tools for Approximate Reasoning (Hardcover, 2001 ed.)
Loot Price: R3,096
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Fuzzy Logic - Mathematical Tools for Approximate Reasoning (Hardcover, 2001 ed.)
Series: Trends in Logic, 11
Expected to ship within 10 - 15 working days
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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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