Next Article in Journal
An Entropy-Based Weighted Concept Lattice for Merging Multi-Source Geo-Ontologies
Previous Article in Journal
Entropy-Based Fast Largest Coding Unit Partition Algorithm in High-Efficiency Video Coding
Article Menu

Export Article

Open AccessArticle
Entropy 2013, 15(6), 2288-2302; doi:10.3390/e15062288

Multi-Granulation Entropy and Its Applications

School of Computer Science & Engineering, University of Electronic Science and Technology of China, Sichuan, Chengdu 611731, China
Author to whom correspondence should be addressed.
Received: 2 April 2013 / Revised: 22 May 2013 / Accepted: 30 May 2013 / Published: 6 June 2013
View Full-Text   |   Download PDF [248 KB, uploaded 24 February 2015]   |  


In the view of granular computing, some general uncertainty measures are proposed through single-granulation by generalizing Shannon’s entropy. However, in the practical environment we need to describe concurrently a target concept through multiple binary relations. In this paper, we extend the classical information entropy model to a multi-granulation entropy model (MGE) by using a series of general binary relations. Two types of MGE are discussed. Moreover, a number of theorems are obtained. It can be concluded that the single-granulation entropy is the special instance of MGE. We employ the proposed model to evaluate the significance of the attributes for classification. A forward greedy search algorithm for feature selection is constructed. The experimental results show that the proposed method presents an effective solution for feature analysis.
Keywords: multi-granulation; entropy; feature selection multi-granulation; entropy; feature selection
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Zeng, K.; She, K.; Niu, X. Multi-Granulation Entropy and Its Applications. Entropy 2013, 15, 2288-2302.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top