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Generalized Bonferroni mean operators in multi-criteria aggregation
journal contribution
posted on 2010-09-01, 00:00 authored by Gleb BeliakovGleb Beliakov, Simon JamesSimon James, J Mordelova, T Ruckschlossová, R YagerIn this paper we provide a systematic investigation of a family of composed aggregation functions which generalize the Bonferroni mean. Such extensions of the Bonferroni mean are capable of modeling the concepts of hard and soft partial conjunction and disjunction as well as that of k-tolerance and k-intolerance. There are several interesting special cases with quite an intuitive interpretation for application.