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Mathematical Problems in Engineering
Volume 2014, Article ID 256372, 10 pages
Research Article

Axiomatic Characterizations of IVF Rough Approximation Operators

School of Information and Statistics, Guangxi University of Finance and Economics, Nanning, Guangxi 530003, China

Received 11 May 2013; Revised 13 January 2014; Accepted 13 January 2014; Published 31 March 2014

Academic Editor: Gerhard-Wilhelm Weber

Copyright © 2014 Guangji Yu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is devoted to the study of axiomatic characterizations of IVF rough approximation operators. IVF approximation spaces are investigated. The fact that different IVF operators satisfy some axioms to guarantee the existence of different types of IVF relations which produce the same operators is proved and then IVF rough approximation operators are characterized by axioms.