A graphical interpretation of the Choquet integral

Authors:
M. Grabisch
Affiliations:
Univ. Pierre et Marie Curie, Paris
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2000

Citing 0
Cited 8

Machine intelligence quotient: its measurements and applications

Fuzzy Sets and Systems - Special issue: Approximate Reasoning in Words
Aggregation based on integrals: recent results and trends

Aggregation operators
A theoretical framework for quality-aware cross-layer optimized wireless multimedia communications

Advances in Multimedia
A fuzzy measure identification method by diamond pairwise comparisons and $${\phi_s}$$ transformation

Fuzzy Optimization and Decision Making
Target-Oriented Decision Analysis with Different Target Preferences

MDAI '09 Proceedings of the 6th International Conference on Modeling Decisions for Artificial Intelligence
A new perceptual organization approach to 3D measuring system based on the fuzzy integral

Image and Vision Computing
A fuzzy measure identification method by diamond pairwise comparisons: AHP scales and Grabish's graphical interpretation

KES'07/WIRN'07 Proceedings of the 11th international conference, KES 2007 and XVII Italian workshop on neural networks conference on Knowledge-based intelligent information and engineering systems: Part III
2-order additive fuzzy measure identification method based on diamond pairwise comparison and maximum entropy principle

Fuzzy Optimization and Decision Making

Quantified Score

Hi-index	0.00

Visualization

Abstract

The Choquet integral (1953) is a fuzzy measure used as a powerful aggregation operator over a finite set of elements. We present a graphical interpretation of the Choquet integral, viewed as an aggregation operator in the case of two elements. The interpretation relies on the interaction representation introduced by the author