Article ID Journal Published Year Pages File Type
397677 International Journal of Approximate Reasoning 2014 10 Pages PDF
Abstract

In this paper the notion of a kind of clusters of subsets of a set based on rough membership function is introduced. The algebraic structure emerged thereby is studied. A comparison with classical rough sets with respect to the algebraic properties has been made. A many-valued propositional logic for such entities is proposed. Representation theorems in the style of Obtułowicz have been established.

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