Truth-functionality, rough sets and three-valued logics

Proceedings of The International Symposium on Multiple-Valued Logic

Volumn , Issue , 2010, Pages 98-103

  Ciucci, Davide ^a   Dubois, Didier ^b  

^a UNIVERSITY OF MILANO BICOCCA   (Italy)

^b UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ROUGH SET; THREE-VALUED LOGIC;

MANY VALUED LOGICS;

ROUGH SET THEORY;

EID: 77955311876     PISSN: 0195623X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISMVL.2010.26     Document Type: Conference Paper

References (20)

1. A. Avron and B. Konikowska, "Rough sets and 3-valued logics," Studia Logica, vol. 90, pp. 69-92, 2008.
2. M. Banerjee and K. Chakraborty, "Algebras from rough sets," in Rough-Neural Computing, S. Pal, A. Skowron, and L. Polkowski, Eds. Springer-Verlag, 2004, pp. 157-188.
3. M. Banerjee and M. Chakraborty, "Rough sets through algebraic logic," Fundamenta Informaticae, vol. 28, pp. 211-221, 1996. (Pubitemid 126715043)
4. M. Banerjee, "Rough sets and 3-valued lukasiewicz logic," Fundam. Inform., vol. 31, no. 3/4, pp. 213-220, 1997.
5. Z. Bonikowski, "A certain conception of the calculus of rough sets," Notre Dame journal of Formal Logic, vol. 33, pp. 412-421, 1992.
6. G. Cattaneo and D. Ciucci, "Algebraic structures for rough sets," in Fuzzy sets and Rough Sets, ser. LNCS - Transactions on Rough Sets, D. Dubois, J. Grzymala-Busse, M. Inuiguchi, and L. Polkowski, Eds. Springer Verlag, 2004, vol. 3135, ch. 12, pp. 218-264.
7. D. Ciucci, "Orthopairs: a simple and widely used way to model uncertainty," Fundamenta Informaticae, 2009, submitted.
8. J. Dai and X. Liu, "Rough 3-valued Lukasiewicz algebras and MV-algebras," in RSKT, ser. LNCS, vol. 5589, 2009, pp. 30-37.
9. D. Dubois and H. Prade, "Twofold fuzzy sets and rough sets - some issues in knowledge representation," Fuzzy Sets and Systems, vol. 23, pp. 3-18, 1987.
10. D. Dubois, "On ignorance and contradiction considered as truth-values," Logic Journal of the IGPL, vol. 16, no. 2, pp. 195-216, 2008.
11. I. Düntsch, "A logic for rough sets," Theoretical computer science, pp. 427-436, 1997.
12. E. P. Klement, R. Mesiar, and E. Pap, Triangular Norms. Dordrecht: Kluwer Academic, 2000.
13. M. Mas, M. Monserrat, and J. Torrens, "s-implications and r-implications on a finite chain," Kibernetika, vol. 40, pp. 3-20, 2004.
14. M. Mas, M. Monserrat, J. Torrens, and E. Trillias, "A survey on fuzzy implication functions," IEEE Transactions on Fuzzy Systems, vol. 15, pp. 1107-1121, 2007.
15. P. Pagliani, "Rough Sets and Nelson Algebras," Fundamenta Informaticae, vol. 27, no. 2,3, pp. 205-219, 1996.
16. -, "Rough set theory and logic-algebraic structures," in Incomplete Information: Rough Set Analysis. Heidelberg: Physica-Verlag, 1998, pp. 109-190.
17. Z. Pawlak and A. Skowron, "Rudiments of rough sets," Information Sciences, vol. 177, pp. 3-27, 2007.
18. M. Sabo, "On many valued implications," Tatra Mountain Mathematical Publication, vol. 14, pp. 161-167, 1998.
19. Y. Yao, "Interval-set algebra for qualitative knowledge representation," in Proceedings of the Fifth international Conference on Computing and Information, 1993, pp. 370-374.
20. -, "Semantics of fuzzy sets in rough set theory," Transactions on Rough Sets, pp. 297-318, 2004.