On inverse problem of Choquet integral
Zhao Zhang and Zeshui Xu*
College of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu 210007, China
- *Corresponding Asuthor:
- Zeshui Xu
College of Sciences
PLA University of Science and Technology
Nanjing, Jiangsu 210007, China
E-mail: [email protected]
Received February 17, 2014; Accepted March 10, 2014; Published March 17, 2014
Citation: Zhang Z, Xu ZS (2014) On inverse problem of Choquet integral. Ind Eng Manage 3:125. doi:10.4172/2169-0316.1000125
Copyright: © 2014 Zhang Z, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
The Choquet integral is a popular tool for dealing with multiple criteria decision making. In practice, if we have a fuzzy measure on the set of criteria, we can use Choquet integral to rank alternatives. In this paper, we consider the inverse problem of Choquet integral: Given a ranking of alternatives, does there exist a fuzzy measure by which we can get the ranking through Choquet integral.