Aggregation functions with stronger types of monotonicity

Authors:
Erich Peter Klement;Maddalena Manzi;Radko Mesiar
Affiliations:
Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, Linz, Austria;Department of Pure and Applied Mathematics, University of Padua, Padova, Italy;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia and Institute of Theory of Information and Automation, Czech ...
Venue:
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Year:
2010

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Abstract

Following the ideas of stronger forms of monotonicity for unary real functions and for capacities,k-monotone and stronglyk-monotone aggregation functions are introduced and discussed. In the special casek= 2 also some applications are given.