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Generalized Bonferroni mean operators in multi-criteria aggregation

2010; Elsevier BV; Volume: 161; Issue: 17 Linguagem: Inglês

10.1016/j.fss.2010.04.004

1872-6801

Gleb Beliakov, James N. K. Liu, Juliana Mordelová, Tatiana Rückschlossová, Ronald R. Yager,

Fuzzy Systems and Optimization

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.