Granular Space Reduction to a β Multigranulation Fuzzy Rough Set

Joint Authors

Li, Jianzhen
Zhou, Junyi
Ma, Shaohui

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-30

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

Multigranulation rough set is an extension of classical rough set, and optimistic multigranulation and pessimistic multigranulation are two special cases of it.

β multigranulation rough set is a more generalized multigranulation rough set.

In this paper, we first introduce fuzzy rough theory into β multigranulation rough set to construct a β multigranulation fuzzy rough set, which can be used to deal with continuous data; then some properties are discussed.

Reduction is an important issue of multigranulation rough set, and an algorithm of granular space reduction to β multigranulation fuzzy rough set for preserving positive region is proposed.

To test the algorithm, experiments are taken on five UCI data sets with different values of β.

The results show the effectiveness of the proposed algorithm.

American Psychological Association (APA)

Zhou, Junyi& Ma, Shaohui& Li, Jianzhen. 2014. Granular Space Reduction to a β Multigranulation Fuzzy Rough Set. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014568

Modern Language Association (MLA)

Zhou, Junyi…[et al.]. Granular Space Reduction to a β Multigranulation Fuzzy Rough Set. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014568

American Medical Association (AMA)

Zhou, Junyi& Ma, Shaohui& Li, Jianzhen. Granular Space Reduction to a β Multigranulation Fuzzy Rough Set. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014568

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014568