Rough approximations of multi-fuzzy sets
by Gayathri Varma; Sunil Jacob John
International Journal of Granular Computing, Rough Sets and Intelligent Systems (IJGCRSIS), Vol. 3, No. 4, 2014

Abstract: Rough sets have been invented to cope with uncertainty and to deal with intelligent systems characterised by insufficient and incomplete information. This paper proposes a general framework for the study of relation-based multi-fuzzy rough approximation operators. We define rough multi-fuzzy sets and study their properties. An arbitrary multi-fuzzy relation is used to approximate multi-fuzzy sets. A pair of lower and upper rough approximation operators is hence obtained and basic properties of these approximation operators will be examined. By introducing the cut sets of multi-fuzzy sets, we study the connections between multi-fuzzy rough approximation operators and crisp approximation operators. Finally, the multi-fuzzy approximation operators will be defined by axioms.

Online publication date: Sat, 28-Mar-2015

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