Generalized Bonferroni mean operators in multi-criteria aggregation

  • Authors:

  • Gleb Beliakov;Simon James;Juliana Mordelová;Tatiana Rückschlossová;Ronald R. Yager

  • Affiliations:

  • School of Information Technology, Deakin University, 221 Burwood Hwy, Burwood 3125, Australia;School of Information Technology, Deakin University, 221 Burwood Hwy, Burwood 3125, Australia;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia;Machine Intelligence Institute, Iona College, New Rochelle, NY 10801, USA

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2010

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Abstract

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.