Zadeh proposes that there are three basic concepts underlying human cognition: granulation, organization and causation and that a granule is a clump of points (objects) drawn together by indistinguishability, similarity, proximity or functionality. Tolerance relation can describe the concept of Granular systems. In this paper, a novel definition of Granular System(GS), which is described by metric function under the framework of tolerance relation, is presented, concepts are created upon GS, and we introduce semi-supervised learning into the Granular computing for concepts creating. For this purpose, a novel back propagation approach is developed for concepts learning. The experiment shows that the new BP is better than traditional EM algorithm when samples do not come from a random source, which has the density we want to estimate.
Swipe to navigate through the chapters of this book
Please log in to get access to this content
To get access to this content you need the following product:
- Back Propagation Approach for Semi-supervised Learning in Granular Computing
- Springer Berlin Heidelberg
- Sequence number
Neuer Inhalt/© ITandMEDIA