Esoteric rough set theory: Algebraic semantics of a generalized VPRS and VPFRS

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5084 LNCS, Issue , 2008, Pages 175-223

  Mani, A ^a  

^a Calcutta Mathematical Society   (India)

Author keywords

Algebraic semantics of generalized rough set theory; Esoteric rough set theory; GVPRFS; Irreflexive rough set theory; Rough sets; Variable precision rough set theory; VPRFS

Indexed keywords

FUZZY SETS; INFORMATION THEORY; MATRIX ALGEBRA; POLYNOMIAL APPROXIMATION; RESEARCH; SEMANTICS;

ALGEBRAIC SEMANTICS OF GENERALIZED ROUGH SET THEORY; ESOTERIC ROUGH SET THEORY; GVPRFS; IRREFLEXIVE ROUGH SET THEORY; ROUGH SETS; VARIABLE PRECISION ROUGH SET THEORY; VPRFS;

ROUGH SET THEORY;

EID: 50949105311     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-85064-9_9     Document Type: Conference Paper

References (25)

1. Komorowski, J., Pawlak, Z., Polkowski, L., Skowron, A.: Rough sets - a tutorial. In: Pal, S.K. (ed.) Rough Fuzzy Hybridization, pp. 3-98. Springer, Heidelberg (1999)
2. Cattaneo, G., Ciucci, D.: Algebras for rough sets and fuzzy logics. In: Peters, J.F., Skowron, A., Grzymala-Busse, J.W., Kostek, B.z., Świniarski, R.W., Szczuka, M. (eds.) Transactions on Rough Sets 2. LNCS, vol. 3100, pp. 208-252. Springer, Heidelberg (2004)
3. Inuiguchi, M.: Generalisation of rough sets and rule extraction. In: Peters, J.F., Skowron, A., Grzymala-Busse, J.W., Kostek, B.z., Świniarski, R.W., Szczuka, M. (eds.) Transactions on Rough Sets I. LNCS, vol. 3100, pp. 96-116. Springer, Heidelberg (2004)
4. Mani, A.: Rough equalities from posets and rough difference orders. Fundamenta Informaticae 53, 321-333 (2002)
5. Mani, A.: Relativised generalized rough sets and bayesian belief networks (to be Submitted, 2007)
6. Lin, T.Y., Yao, Y.Y., Wong, S.K.: A review of rough set models. In: Lin, Y.Y., et al. (eds.) Analysis of Information databases,Rough Sets and Data Mining, Kluwer Academic Publishers, Dordrecht (1997)
7. Ziarko, W.: Variable precision rough set model. J. of Computer and System Sciences 46, 39-59 (1993)
8. Rolka, A.M., Rolka, L.: Variable precision fuzzy rough sets. In: Peters, J.F., Skowron, A., Grzymala,-Busse, J.W., Kostek, B.z., Świniarski, R.W., Szczuka, M. (eds.) Transactions on Rough Sets I. LNCS, vol. 3100, pp. 144-160. Springer, Heidelberg (2004)
9. Banerjee, M., Chakraborty, M.K.: Algebras from rough sets - an overview. In: Pal, S.K., et al. (eds.) Rough-Neural Computing, pp. 157-184. Springer, Heidelberg (2004)
10. Yao, G.T.: Constructions and algebraic methods of the theory of rough sets. Information Science 109, 21-47 (1998)
11. Düntsch, I.: Rough sets and algebras of relations. In: Orlowska, E. (ed.) Incomplete Information and Rough Set Analysis, pp. 109-119. Physica, Heidelberg (1998)
12. Katrinak, T.: Construction of regular double p-algebras. Bull. Roy. Soc. Sci. Liege 43, 294-301 (1974)
13. Burmeister, P.: A Model-Theoretic Oriented approach to Partial Algebras. Akademie-Verlag (1986) (2002)
14. Vojvodic, G.: A note on weak partial congruence algebras. Rev. of Res. Fac. Sci. Univ of Novisad 22, 89-94 (1992)
15. Seselja, B., Vojvodic, G.: On the lattice of weak congruence relations. Algebra Universalis 25, 121-130 (1988)
16. Mani, A.: Esoteric rough algebras, p. 24 (submitted, 2006)
17. Mani, A.: Super rough semantics. Fundamenta Informaticae 65, 249-261 (2005)
18. Ljapin, E.S.: Partial algebras and their applications. Academic, Kluwer (1996)
19. Banerjee, M., Chakraborty, M.K.: Rough sets through algebraic logic. Fundamenta Informaticae 28, 211-221 (1996)
20. Bleyberg, M., EIumalai, A.: Using rough sets to construct sense type decision trees for text categorisation. Transactions of IEEE, 19-24 (2001)
21. Katzberg, T., Ziarko, W.: Variable precision extension of rough sets. Fundamenta, Informaticae 27, 1-12 (1996)
22. Pawlak, Z., Skowron, A.: Rough membership functions. In: Yager, R., et al. (eds.) Advances in Dempster-Schafer Theory of Evidence, Wiley, Chichester (1994)
23. Kryszkiewicz, M., Cichon, K.: Towards scalable algorithms for discovering rough set reducts. In: Peters, J.F., Skowron, A. (eds.) Transactions of Rough Sets-1, vol. LNCS-3100, pp. 120-143. Springer, Heidelberg (2004)
24. Bazan, J., Nguyen, S., Nguyen, H., Synak, P., Wroblewski, J.: Rough set algorithms in classification problem. In: Polkowski, L., et al. (eds.) Rough Set Methods and Applications, pp. 49-88. Physica Verlag, Heidelberg (2000)
25. Bazan, J., Nguyen, S.H., Skowron, A., Szczuka, M.: A view on rough set concept approximations. In: Wang, G., Liu, Q., Yao, Y., Skowron, A. (eds.) RSFDGrC 2003. LNCS (LNAI), vol. 2639, pp. 181-188. Springer, Heidelberg (2003)