Journal of Applied Mathematics
Volume 2012 (2012), Article ID 154670, 13 pages
Research Article

Note on the Choquet Integral as an Interval-Valued Aggregation Operators and Their Applications

Department of Computer Engineering, Konkuk University, Chungju 138-701, Republic of Korea

Received 2 November 2011; Revised 15 December 2011; Accepted 16 December 2011

Academic Editor: Hui-Shen Shen

Copyright © 2012 Lee-Chae Jang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The concept of an interval-valued capacity is motivated by the goal to generalize a capacity, and it can be used for representing an uncertain capacity. In this paper, we define the discrete interval-valued capacities, a measure of the entropy of a discrete interval-valued capacity, and, Choquet integral with respect to a discrete interval-valued capacity. In particular, we discuss the Choquet integral as an interval-valued aggregation operator and discuss an application of them.