Journal
FUZZY SETS AND SYSTEMS
Volume 121, Issue 2, Pages 315-324Publisher
ELSEVIER
DOI: 10.1016/S0165-0114(00)00023-3
Keywords
algebra; rough set; cover; approximation operator; commutative ring; ideal; fuzzy ideal; prime spectrum; fuzzy prime spectrum
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We use covers of the universal set to define approximation operators on the power set of the given set. In Section 1, we determine basic properties of the upper approximation operator and show how it can be used to give algebraic structural properties of certain subsets. We define a particular cover on the set of ideals of a commutative ring with identity in such a way that both the concepts of the (fuzzy) prime spectrum of a ring and rough set theory can simultaneously be brought to bear on the study of (fuzzy) ideals of a ring. (C) 2001 Elsevier Science B.V. All rights reserved.
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