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Fuzzy logic and the calculi of fuzzy rules and fuzzy graphs: A precis. (English) Zbl 0906.03022

This survey paper explains the author’s core ideas in the field of fuzzy logic (in its wider sense) and approximate reasoning, which center around the use of linguistic variables, fuzzy information granules, fuzzy rules, and the bunch of ideas for representing and processing linguistically given information which he calls “computing with words”. As often in this author’s inspiring papers, the ideas are essentially explained via examples. Undoubtedless this synopsis of his ideas from the last years will influence a lot of papers in AI related applications, and it should become also a source for more formalized mathematical discussions.

MSC:

03B52 Fuzzy logic; logic of vagueness
68T27 Logic in artificial intelligence
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)