By Topic

An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Marichal, J.-L. ; Inst. of Math., Liege Univ., Belgium

The most often used operator to aggregate criteria in decision making problems is the classical weighted arithmetic mean. However, in many problems the criteria considered interact and a substitute to the weighted arithmetic mean has to be adopted. We show that, under rather natural conditions, the discrete Choquet integral is an adequate aggregation operator that extends the weighted arithmetic mean by taking into consideration of the interaction among criteria. The axiomatic that supports the Choquet integral is presented and an intuitive approach is proposed as well

Published in:

Fuzzy Systems, IEEE Transactions on  (Volume:8 ,  Issue: 6 )