Advances in the quotient space theory and its applications

Authors:
Li-Quan Zhao;Ling Zhang
Affiliations:
Province Key Laboratory of Electronic Business, Nanjing University of Finance and Economics, Nanjing, China;Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education, Anhui University, Hefei, China
Venue:
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Year:
2006

Citing 5
Cited 0

Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic

Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Data mining, rough sets and granular computing

Data mining, rough sets and granular computing
Fuzzy reasoning model under quotient space structure

Information Sciences: an International Journal
The structure analysis of fuzzy sets

International Journal of Approximate Reasoning
Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing

RSFDGrC'03 Proceedings of the 9th international conference on Rough sets, fuzzy sets, data mining, and granular computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

The quotient space theory uses a triplet, including the universe, its structure and attributes, to describe a problem space or simply a space. This paper improves the quotient space's model so as to absorb the methods of rough set. It also generalizes the false-preserving principle and true-preserving principle to the case of probability. Some basic operations on quotient space are introduced. The significant properties of the fuzzy quotient space family are elaborated. The main applications of quotient space theory are discussed