Generalized Bonferroni mean operators in multi-criteria aggregation
Beliakov, Gleb, James, Simon, Mordelova, Juliana, Ruckschlossová, Tatiana and Yager, Ronald R. 2010, Generalized Bonferroni mean operators in multi-criteria aggregation, Fuzzy sets and systems, vol. 161, no. 17, pp. 2227-2242, doi: 10.1016/j.fss.2010.04.004.
In 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.
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