Construction of rough approximations in fuzzy setting

Fuzzy Sets and Systems

Volumn 158, Issue 23, 2007, Pages 2641-2653

  Chen, Xueyou ^a,b   Li, Qingguo ^a  

^a HUNAN UNIVERSITY   (China)

^b SHANDONG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

L set; Rough approximation operator; Rough set

Indexed keywords

ALGEBRA; FUZZY SETS; MATHEMATICAL OPERATORS; ROUGH SET THEORY; TOPOLOGY;

FUZZY SETTING; GRADED EXTENSION; L-SETS; ROUGH APPROXIMATION OPERATOR;

APPROXIMATION THEORY;

EID: 34548819025     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2007.05.016     Document Type: Article

References (17)

1. Bělohlávek R. Fuzzy Galois connections. Math. Logic Quart. 45 4 (1999) 497-504
2. Bělohlávek R. Fuzzy Relational Systems: Foundations and Principles (2002), Kluwer Academic Publisher, New York
3. Bělohlávek R. Concept lattices and order in fuzzy logic. Ann. Pure Appl. Logic 128 (2004) 277-298
4. Goguen J. L-fuzzy sets. J. Math. Anal. Appl. 18 (1967) 145-174
5. Höhle U., and Śostak A.P. Axiomatic foundation of fixed-basis fuzzy topology. In: Höhle U., and Rodabaugh S.E. (Eds). Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory (1999), Kluwer Academic Publishers, Dordrecht 123-272
6. Järvinen J. On the structure of rough approximations. In: Alpigini J.J., Peter J.F., Skowron A., and Zhong N. (Eds). Proc. 3rd Int. Conf. on Rough Sets and Current Trends in Computing (RSCTC 2002), LNAI 2475 (2002), Springer, Heidelberg 123-130
7. Kortelainen J. On relationship between modified sets, topological spaces and rough sets. Fuzzy Sets and Systems 61 (1994) 91-95
8. Lemmon E.J. Algebraic semantics for modal logics, Part I. J. Symbolic Logic 31 (1966) 46-65
9. Lin T.Y. Topological and fuzzy rough sets. In: Slowinski R. (Ed). Decision Support by Experience-Application of the Rough Sets Theory (1992), Kluwer Academic Publishers, Dordrecht 287-304
10. Morsi N.N., and Yakout M.M. Axiomatics for fuzzy rough set. Fuzzy Sets and Systems 100 (1998) 327-342
11. Nanda S. Fuzzy rough sets. Fuzzy Sets and Systems 45 (1992) 157-160
12. Pawlak Z. Rough sets. Internat. J. Comput. Inform. Sci. 11 (1982) 341-356
13. Wu W., and Zhang W. Constructive and axiomatic approaches of fuzzy approximation operators. Inform. Sci. 159 (2004) 233-254
14. Wybraniec-Skardowska U. On a generalization of approximation space. Bull. Polish Acad. Sci. Math. 37 (1989) 51-61
15. Yao Y.Y. Two views of the theory of rough sets in finite universes. Internat. J. Approx. Reasoning 15 (1996) 291-317
16. Yao Y.Y. Constructive and algebraic methods of the theory of rough sets. Inform. Sci. 109 (1998) 21-47
17. Yao Y.Y., and Lin T.Y. Generalization of rough sets using modal logic. Intelligent Automat. Soft Comput. 2 2 (1996) 103-120