Abstract
In this paper, we study one-sided vague formal concept lattices and prove Basic Theorem for them. Then we define (compatible) attribute subcontexts of a vague formal context and study their extent and intent. We obtain some conditions under which one-sided vague formal concept lattice of an attribute subcontext is isomorphic to the lattice of its context. Then we define and study consistent attribute subsets and attribute reductions. Finally, we describe a general method on how to reduce attributes.
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