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Families of OWA operators. (English) Zbl 0790.94004

Summary: We introduce the ordered weighted averaging (OWA) operators. We look at some semantics and applications associated with these operators. We discuss the problem of obtaining the associated weighting parameters. We discuss the connection between OWA operators and linguistic quantifiers. We introduce a number of parametrized families of OWA operators; maximum entropy, \(S\)-OWA, step and window are among the most important of these families. We study the evaluation of quantified propositions using these operators. We introduce the idea of aggregate dependent weights.

MSC:

94A15 Information theory (general)
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
94A17 Measures of information, entropy
92B20 Neural networks for/in biological studies, artificial life and related topics
68T35 Theory of languages and software systems (knowledge-based systems, expert systems, etc.) for artificial intelligence
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