Welcome to the InfoSci Platform
Reference Hub4
New Approaches of Rough Sets via Ideals

New Approaches of Rough Sets via Ideals

Ali Kandil, M. M. Yakout, A. Zakaria
Copyright: © 2016 |Pages: 18
ISBN13: 9781466697980|ISBN10: 1466697989|EISBN13: 9781466697997
DOI: 10.4018/978-1-4666-9798-0.ch012
Cite Chapter Cite Chapter

MLA

Kandil, Ali, et al. "New Approaches of Rough Sets via Ideals." Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing, edited by Sunil Jacob John, IGI Global, 2016, pp. 247-264. https://doi.org/10.4018/978-1-4666-9798-0.ch012

APA

Kandil, A., Yakout, M. M., & Zakaria, A. (2016). New Approaches of Rough Sets via Ideals. In S. John (Ed.), Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing (pp. 247-264). IGI Global. https://doi.org/10.4018/978-1-4666-9798-0.ch012

Chicago

Kandil, Ali, M. M. Yakout, and A. Zakaria. "New Approaches of Rough Sets via Ideals." In Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing, edited by Sunil Jacob John, 247-264. Hershey, PA: IGI Global, 2016. https://doi.org/10.4018/978-1-4666-9798-0.ch012

Export Reference

Mendeley
Favorite

Abstract

An ideal I on a nonempty set X is a subfamily of P(X) which is closed under finite unions and subsets. In this chapter, a new definition of approximation operators and rough membership functions via ideal has been introduced. The concepts of lower and upper approximations via ideals have been mentioned. These new definitions are comparing with Pawlak's, Yao's and Allam's definitions. It's therefore shown that the current definitions are more generally. Also, it's shown that the present method decreases the boundary region. In addition to these points, the topology generated via present method finer than Allam's one which is a generalization of that obtained by Yao's method. Finally, T1 topological spaces are obtained by relations and ideals which are not discrete.

Request Access

You do not own this content. Please login to recommend this title to your institution's librarian or purchase it from the IGI Global bookstore.