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What is mathematical fuzzy logic. (English) Zbl 1108.03028
This is an overview paper that was written as a response to the discussion on the question: which of many systems of many-valued logics should be called fuzzy logic? This question has been raised on the international conference “The Logic of Soft Computing IV”, which took place in Ostrava, Czech Republic, in October 2005. The paper comments on the development and present state of fuzzy logic as a branch of mathematical logic. The paper briefly overviews the origin and motivation of fuzzy logic and then presents the main principles of t-norm based fuzzy logic both in its propositional as well as predicate form. Some further generalizations are also outlined.

MSC:
03B52 Fuzzy logic; logic of vagueness
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