Reasoning with Rough Sets by Seiki Akama Tetsuya Murai & Yasuo Kudo

Author:Seiki Akama, Tetsuya Murai & Yasuo Kudo
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Thus, coincides with the Nelson lattice . Since is a Boolean lattice, is a semi-simple Nelson algebra. Consequently, we obtain that rough sets defined by equivalences determined also regular double Stone algebras and three-valued Lukasiewicz algebras.

Järvinen et al. [13] further extended Pagliani’s results for the so-called effective lattice, which expands Nelson algebras with a modal operator capable of expressing the classical truth. The feature is of special importance for the problems in computer science, AI, and natural language semantics.

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