By Topic

Continuous Choquet integrals with respect to random sets

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
$33 $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)
Gader, P.D. ; Dept. of Comput. & Inf. Sci. & Eng., Florida Univ., Gainesville, FL, USA

An interpretation of continuous Choquet integrals with respect to random sets is given in the context of image filtering and shape detection. In this context, random sets represent random shapes defined on the plane. Random sets are characterized by their capacity functionals. Capacity functionals are fuzzy measures. Thus, input images can be integrated with respect to random sets. In this paper, input images are represented as fuzzy sets. The integration is interpreted in the context of mathematical morphology as the average a generalization morphological dilation or erosion. Specifically, the integrals represent the average probability that sets either intersect or are contained in the random sets, the average being over the alpha cuts of the input image. This interpretation has the potential for deriving new learning algorithms for using Choquet integrals in shape detection.

Published in:

Fuzzy Systems, 2003. FUZZ '03. The 12th IEEE International Conference on  (Volume:2 )

Date of Conference:

25-28 May 2003