Title: Rough sets on fuzzy approximation spaces and applications to distributed knowledge systems

Authors: D.P. Acharjya, B.K. Tripathy

Addresses: School of Computing Sciences, VIT University, Vellore – 632014, Tamilnadu, India. ' School of Computing Sciences, VIT University, Vellore – 632014, Tamilnadu, India

Abstract: A fuzzy relation is an extension of crisp relation on any set U. Fuzzy proximity relations on U are much more general and abundant than equivalence relations. The fuzzy approximation space which depends upon a fuzzy proximity relation defined on a set U is a generalisation of the concept of knowledge base. So, rough sets defined on fuzzy approximation spaces extend the concept of rough sets on knowledge bases. The results of the present paper extend the basic properties of rough sets and results involving set theoretic operations on types of rough sets that have been established in Tripathy and Mitra (2008).

Keywords: fuzzy relations; fuzzy proximity relation; fuzzy approximation spaces; rough sets; distributed knowledge.

DOI: 10.1504/IJAISC.2008.021260

International Journal of Artificial Intelligence and Soft Computing, 2008 Vol.1 No.1, pp.1 - 14

Published online: 14 Nov 2008 *

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