๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the compact computational domain of fuzzy-rough sets

โœ Scribed by Rajen B. Bhatt; M. Gopal

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
180 KB
Volume
26
Category
Article
ISSN
0167-8655

No coin nor oath required. For personal study only.

โœฆ Synopsis

Based on some properties of fuzzy t-norm and t-conorm operators, the concept of fuzzy-rough sets on compact computational domain has been put forward. Various mathematical properties of this new definition of fuzzy-rough sets arc discussed from pattern classification viewpoint. It is established that the proposed approach identifies various patterns in the sense of fuzzy-roughness, in addition to providing deeper insight into various concepts of fuzzy-rough sets.

๐Ÿ“œ SIMILAR VOLUMES

Compactness and Convexity on the Space o
Compactness and Convexity on the Space of Fuzzy Sets
โœ Yun Kyong Kim ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 99 KB

In this paper, a criterion for which the convex hull of is relatively compact is given when is a relatively compact subset of the space R p of fuzzy sets endowed with the Skorokhod topology. Also, some examples are given to illustrate the criterion.

On the difference of fuzzy sets
On the difference of fuzzy sets
โœ Claudi Alsina; Enric Trillas ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 98 KB ๐Ÿ‘ 2 views

We formulate and solve a collection of functional equations arising in the framework of fuzzy logic when modeling the concept of a difference operation between couples of fuzzy sets.