模式识别与人工智能
Tuesday, Jan. 14, 2025 Home      About Journal      Editorial Board      Instructions      Ethics Statement      Contact Us                   中文
  2013, Vol. 26 Issue (8): 777-786    DOI:
article Current Issue| Next Issue| Archive| Adv Search |
Hyperbox Granular Computing Classifiers Based on Fuzzy Lattices
LIU Hong-Bing1, 2, WU Chang-An1, XIONG Sheng-Wu2
1. School of Computer and Information Technology, Xinyang Normal University, Xinyang 464000
2. School of Computer Science and Technology, Wuhan University of Technology, Wuhan 430070

Download: PDF (615 KB)   HTML (1 KB) 
Export: BibTeX | EndNote (RIS)      
Abstract  

Representation, relation and operation of granules are the main research content of granular computing. A hyperbox granule is represented by a vector including a beginning point and an end point. The inconsistency between the partial ordering relation in vector space and the partial ordering relation in hyperbox granule space is analyzed and then eliminated by the order-preserving function. The fuzzy inclusion relation between two hyperbox granules is formed by nonlinear positive valuation function and the order-preserving function between the lattice and its dual lattice. The join operator and decomposition operator between two granules are designed to achieve the granules with different granularity. The algebraic system which is composed of hyperbox granule set, fuzzy inclusion relation and the operators between two granules is proved as fuzzy lattice. Hyperbox granular computing classifiers are formed based on fuzzy lattice, and verified by classification problems on machine learning dataset. The experimental results show that hyperbox granular computing classifiers have a generalization ability comparable to that of fuzzy lattice reasoning classifiers with less number of hyperbox granules.

Key wordsFuzzy Lattice      Granular Computing      Hyperbox Granule      Fuzzy Inclusion Relation     
Received: 26 June 2012     
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
LIU Hong-Bing
WU Chang-An
XIONG Sheng-Wu
Cite this article:   
LIU Hong-Bing,WU Chang-An,XIONG Sheng-Wu. Hyperbox Granular Computing Classifiers Based on Fuzzy Lattices[J]. , 2013, 26(8): 777-786.
URL:  
http://manu46.magtech.com.cn/Jweb_prai/EN/      OR     http://manu46.magtech.com.cn/Jweb_prai/EN/Y2013/V26/I8/777
Copyright © 2010 Editorial Office of Pattern Recognition and Artificial Intelligence
Address: No.350 Shushanhu Road, Hefei, Anhui Province, P.R. China Tel: 0551-65591176 Fax:0551-65591176 Email: bjb@iim.ac.cn
Supported by Beijing Magtech  Email:support@magtech.com.cn