Generalized Rough Sets (Preclusivity Fuzzy-Intuitionistic (BZ) Lattices)

Studia Logica

Volumn 58, Issue 1, 1997, Pages 47-77

  Cattaneo, Gianpiero ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

Brouwer zadeh structures; Discernibility relations; Fuzzy intuitionistic algebras with modalities; Generalized rough sets

Indexed keywords

EID: 0038856101     PISSN: 00393215     EISSN: 15728730     Source Type: Journal    
DOI: 10.1023/A:1004939914902     Document Type: Article

References (18)

1. CATTANEO, G., 1993, 'Fuzzy quantum logic II: The logics of unsharp quantum mechanics', Int. J. Theor. Phys. 32, 1709-1734.
2. CATTANEO, G., and R. GIUNTINI, 1995, 'Some results on BZ structures from Hilbertian unsharp quantum physics', Found. Phys. 25, 1147-1183.
3. CATTANEO, R., and G. MARINO, 1988, 'Non-usual orthocomplementations on partially ordered sets and fuzziness', Fuzzy Sets Syst. 25, 107-123.
4. CATTANEO, G., and G. NISTICÒ, 1989, 'Brouwer-Zadeh posets and three valued Łukasiewicz posets', Fuzzy Sets Syst. 33, 165-190.
5. CHELLAS, B. F., 1998, Modal logic, An introduction, Cambridge University Press, Cambridge.
6. CIGNOLI, R., and A. MONTEIRO, 1965, 'Boolean elements in Łukasiewicz algebras. II', Proc. Japan Acad. 41, 676-680.
7. CIGNOLI, R., 1970, 'Moisil Algebras', Notas de Logica Matematica, 27, Institute de Matematica, Univ. Nacional del Sur, Bahia Blanca, Argentina.
8. FARINAS DEL CERRO, L., and E. ORLOWSKA, 1985, 'DAL-a logic for data analysis', Theor. Computer Sciences 36, 251-264.
9. HALMOS, P. R., 1962, Algebraic logic, Chelsea, NY.
10. MOISIL, G. C., 1940, 'Recherches sur les logiques non-chrysippiennes', Ann. Sci. Univ. Jassy 26, 431-466.
11. MOISIL, G. C., 1941, 'Notes sur les logiques nonchrysippiennes', Ann. Sci. Univ. Jassy 27, 86-98.
12. ORLOWSKA, E., 1985, 'A logic of indiscrenibility relations', Lecture Notes in Computer Sciences 208, Springer-Verlag, Berlin, 177-186.
13. PAWLAK, Z., 1982, 'Rough sets', Internat. J. Inform. Comput. Sci. 11, 341-356.
14. PAWLAK, Z., 1985, 'Rough sets and fuzzy sets', Fuzzy Sets Syst. 17, 99-102.
15. VAKARELOV, D., 1991, 'A modal logic for similarity relations in Pawlak knowledge representation systems', Fundamenta Informaticae XV, 61-79.
16. YAO, Y. Y, X. Li, T. Y. LIN, and Q. LIU, 1994, 'Representation and classification of rough set models', in Proc. of "The Third International Workshop on Rough Sets and Soft Computing ", T.Y. Lin ed., San Jose State University, 630-637.
17. ZADEH, L. A., 1965, 'Fuzzy sets, Inform. Contr. 8, 338-353.
18. ZAKOWSKI, W., 1983, 'Approximations in the space (U,II)', Demonstratio Mathematica XVI, 761-769.