Journal
FUNDAMENTA INFORMATICAE
Volume 139, Issue 3, Pages 307-328Publisher
IOS PRESS
DOI: 10.3233/FI-2015-1236
Keywords
S-approximation Spaces; Three-way Decisions; Partial Monotone; Complement Compatibility; Rough Set Theory; Rough Mereology
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In this paper, we investigate properties of the lower and upper approximations of an S-approximation space under different assumptions for its S operator. These assumptions are partial monotonicity, complement compatibility and functional partial monotonicity. We also extend the theory of three way decisions to non-inclusion relations. Also in this work, a new representation for partial monotone S-approximation spaces, called inflections, is introduced. We will also discuss the computational complexity of representing an S-approximation space in terms of inflection sets. Finally, the usefulness of the introduced concepts is illustrated by an example.
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