Antichain Based Semantics for Rough Sets
The idea of using antichains of rough objects was suggested by the present author in her earlier papers. In this research basic aspects of such semantics are considered over general rough sets and general approximation spaces over quasi-equivalence relations. Most of the considerations are restricted to semantics associated with maximal antichains and their meaning. It is shown that even when the approximation operators are poorly behaved, some semantics with good structure and computational potential can be salvaged.
KeywordsRough objects Granular operator spaces Maximal antichains Antichains Quasi equivalences Axiomatic approach to granules Granular rough semantics
The present author would like to thank the anonymous referees for useful remarks that led to improvement of the presentation of the paper.
- 3.Mani, A.: Algebraic Semantics of Proto-Transitive Rough Sets. 1st edn., July 2014. arxiv:1410.0572
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