Rough sets and 3-valued Lukasiewicz logic

Fundamenta Informaticae

Volumn 31, Issue 3-4, 1997, Pages 213-220

  Banerjee, Mohua ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

3 valued Lukasiewicz logic; Algebraic logic; Modal system S5; Rough set theory

Indexed keywords

EID: 0010437206     PISSN: 01692968     EISSN: None     Source Type: Journal    
DOI: 10.3233/fi-1997-313401     Document Type: Article

References (20)

1. M. Banerjee and M.K. Chakraborty, "Rough algebra", Bull. Polish Acad. Sc.(Math.), 41(4), 1993, 293-297.
2. M. Banerjee and M.K. Chakraborty, "Rough sets through algebraic logic", Fund. Informaticae, 28(3,4), 1996, 211-221.
3. D. Becchio, "Logique trivalente de Lukasiewicz", Ann. Sci. Univ. Clermont-Ferrand, 16, 1978, 38-89.
4. V. Boicescu, A. Filipoiu, G. Georgescu and S. Rudeano, Lukasiewicz-Moisil Algebras, Amsterdam: North Holland, 1991.
5. M.K. Chakraborty and M. Banerjee, "Rough logics : a survey with further directions", in : E. Orlowska (ed.), Rough Set Systems for Modelling and Processing Incomplete Information, Series : Studies in Fuzziness and Soft Computing, Springer-Verlag, to appear.
6. L. Iturrioz, "Rough sets and three-valued structures", in : E. Orlowska (ed.), Logic at Work. Essays Dedicated to the Memory of Helena Rasiowa, to appear.
7. M. Krynicki, "A note on rough concepts logic", Fund. Informaticae, XIII, 1990, 227-235.
8. Gr. C. Moisil, "Sur les idéaux des algébres lukasiewicziennes trivalentes", An. Univ. C.I. Parhon, Acta Logica, 3, 1960, 83-95.
9. A. Monteiro, "Construction des algebres de Lukasiewicz trivalentes dans les algebres de Boole monadiques", I. Math. Japonicae, 12, 1967, 1-23.
10. A. Obtulowicz, "Rough sets and Heyting algebra valued sets", Bull. Polish Acad. Sc.(Math.), 35(9-10), 1987, 667-671.
11. E. Orlowska, "Logic of indiscernibility relations", in : A. Skowron (ed.), Computation Theory, LNCS 208, Springer-Verlag, Berlin, 1984, 177-186.
12. E. Orlowska, "Kripke semantics for knowledge representation logics", Studia Logica, XLIX, 1990, 255-272.
13. P. Pagliani, "Rough set theory and logic-algebraic structures", in : E. Orlowska (ed.), Rough Set Systems for Modelling and Processing Incomplete Information, Series : Studies in Fuzziness and Soft Computing, Springer-Verlag, to appear.
14. Z. Pawlak, "Rough sets", Int. J. Computer and Information Sciences, 11(5), 1982, 341-356.
15. H. Rasiowa, An Algebraic Approach to Non-classical Logics, Amsterdam: North Holland, 1974.
16. H. Rasiowa and A. Skowron, "Rough concepts logic", in : A. Skowron (ed.), Computation Theory, LNCS 208, Springer-Verlag, Berlin, 1984, 288-297.
17. J. Slupecki, G. Bryll and T. Prucnal, "Some remarks on three-valued logic of J. Lukasiewicz", Studia Logica, 31, 1967, 45-70.
18. L.W. Szczerba, "Rough quantifiers", Bull. Polish Acad. Sc. (Math.), 35(3-4), 1987, 251-254.
19. D. Vakarelov, "Intuitive semantics for some three-valued logics connected with information, contrariety and subcontrariety", Studia Logica, XLVIII(4), 1989, 565-575.
20. A. Wasilewska and M. Banerjee, "Rough sets and topological quasi-Boolean algebras", in : T.Y. Lin (ed.), Proc. 23rd Ann. ACM CSC'95 Rough Sets and Database Mining, San José State Univ., 1995, 121-128.