On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria

Details On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria

2008-04-11

arxiv.org/abs/0804.1921v1

European Journal of Operational Research (2003) 28-47

Computer Science

Discrete Mathematics

Scientific paper

The paper presents an analysis on the use of integrals defined for non-additive measures (or capacities) as the Choquet and the \Sipos{} integral, and the multilinear model, all seen as extensions of pseudo-Boolean functions, and used as a means to model interaction between criteria in a multicriteria decision making problem. The emphasis is put on the use, besides classical comparative information, of information about difference of attractiveness between acts, and on the existence, for each point of view, of a ``neutral level'', allowing to introduce the absolute notion of attractive or repulsive act. It is shown that in this case, the Sipos integral is a suitable solution, although not unique. Properties of the Sipos integral as a new way of aggregating criteria are shown, with emphasis on the interaction among criteria.

Affiliated with

Also associated with

No associations

Rating

On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Extension of Pseudo-Boolean Functions for the Aggregation of Interacting Criteria will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-707001