Families of OWA operators.

*(English)*Zbl 0790.94004Summary: 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 |

##### Keywords:

aggregation; fuzzy sets; logical operators; ordered weighted averaging operators; linguistic quantifiers; maximum entropy
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\textit{R. R. Yager}, Fuzzy Sets Syst. 59, No. 2, 125--148 (1993; Zbl 0790.94004)

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