On rough multiset relations. (1st January 2014)

• Record Type: Journal Article
• Authors: Girish, K.P.; John, Sunil Jacob
• Is Part Of: International journal of granular computing, rough sets and intelligent systems. Volume 3:Number 4(2014)
• Page Start: 306
• Page End: 326
• Publication Date: 2014-01-01
• Subjects: multiset -- multiset relation -- rough multiset -- rough multiset relation -- rough set; Intelligent agents (Computer science) -- Periodicals; 006.3
• DOI: 10.1504/IJGCRSIS.2014.068036
• Languages: English
• ISSNs: 1757-2703

Abstract

Rough Set Theory is a mathematical model for representing uncertainty that can be considered as an extension of the classical set theory. A convenient mathematical model for representing multi-attribute objects is a multiset (mset, for short) or a set with repeating elements. The concepts of rough set theory can be extended to relations, mainly due to the fact that a relation is also a set, i.e., a subset of a Cartesian product. This paper is providing a new dimension to Pawlak's rough set theory by replacing its universe by multisets. The concept of rough multiset relation is introduced and explores related properties.