Title: On rough multiset relations
Authors: K.P. Girish; Sunil Jacob John
TIFAC Core in Cyber Security, Amrita Vishwa Vidyapeetham, Coimbatore-641 112, Tamil Nadu, India
Department of Mathematics, National Institute of Technology, Calicut-673 601, Kerala, India
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.
Keywords: multiset relations; rough multisets; rough sets; mathematical modelling.
Int. J. of Granular Computing, Rough Sets and Intelligent Systems, 2014 Vol.3, No.4, pp.306 - 326
Date of acceptance: 23 Sep 2014
Available online: 10 Mar 2015