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Rough Sets and 3-valued Lukasiewicz Logic

Article type: Research Article

Authors: Banerjee, Mohua

Affiliations: Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur 208 016, India. mohua@iitk.ernet.in

Abstract: A propositional logic for rough sets was proposed in [2]. The present work establishes a relationship between the finitary fragment of this logic and 3-valued Lukasiewicz logic ℒ3. It is also observed that there is an embedding from ℒ3 into the modal system S5.

Keywords: Rough set theory, Algebraic logic, 3-valued Lukasiewicz logic, Modal system S5

DOI: 10.3233/FI-1997-313401

Journal: Fundamenta Informaticae, vol. 31, no. 3-4, pp. 213-220, 1997

Published: 1997
Price: EUR 27.50
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