Fuzzy reasoning based on a new fuzzy rough set and its application to scheduling problems

Computers and Mathematics with Applications

Volumn 51, Issue 9-10, 2006, Pages 1507-1518

  Liu, Min ^a   Chen, Degang ^b   Wu, Cheng ^a   Li, Hongxing ^c  

^a TSINGHUA UNIVERSITY   (China)

^b NORTH CHINA ELECTRIC POWER UNIVERSITY   (China)

^c BEIJING NORMAL UNIVERSITY   (China)

Author keywords

Approximation operators; Fuzzy reasoning; Fuzzy set; Rough set; Scheduling

Indexed keywords

APPROXIMATION THEORY; COMPUTATION THEORY; CONSTRAINT THEORY; NUMERICAL METHODS; PROBLEM SOLVING; SCHEDULING;

APPROXIMATION OPERATORS; FUZZY REASONING; ROUGH SET;

FUZZY SETS;

EID: 33745713865     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.12.003     Document Type: Article

References (17)

1. Pawlak Z. Rough Sets. Internat. J. Comput. Inform. Sci. 11 5 (1982) 341-356
2. Pawlak Z. Rough sets-theoretical aspects of reasoning about data (1991), Kluwer Academic Publishers
3. Zadeh L.A. Fuzzy Sets. Information and Control 8 (1965) 338-353
4. Chanas S., and Kuchta D. Further remarks on the relation between rough and fuzzy sets. Fuzzy Sets and Systems 47 3 (1992) 391-394
5. Dubois D., and Prade H. Rough fuzzy sets and fuzzy rough sets. Internat. J. General Systems 17 2-3 (1990) 191-209
6. Lin T.Y. Topological and fuzzy rough sets. In: Slowinski R. (Ed). Intelligent Decision Support: Handbook of Applications and Advances of the Rough Sets Theory (1992), Kluwer Academic Publishers, Dordrecht 287-304
7. Yao Y.Y. A comparative study of fuzzy sets and rough sets. J. of Information Sciences 109 1-4 (1998) 227-242
8. Dubois D., and Prade H. Putting fuzzy sets and rough sets together. In: Slowinski R. (Ed). Intelligent Decision Support (1992), Kluwer Academic, Boston, MA 203-232
9. Morsi N.N., and Yakout M.M. Axiomatics for fuzzy rough sets. Fuzzy sets and Systems 100 1-3 (1998) 327-342
10. Radzikowska A.M., and Kerre E.E. A comparative study of rough sets. Fuzzy Sets and Systems 126 2 (2002) 137-155
11. Yao Y.Y., and Lin T.Y. Generalization of rough sets using model logic. Intelligent Automation and Soft Computing 2 (1996) 103-120
12. Yao Y.Y. Constructive and algebraic methods of the theory of rough sets. J. of Information Sciences 109 1-4 (1998) 21-47
13. Zhang W.X., and Wu W.Z. The rough set model based on the random set. J. of Xi'an Jiaotong University 34 12 (2000) 15-19
14. Wang G.J. On the logic foundation of fuzzy reasoning. J. of Information Sciences 117 1 (1999) 47-88
15. Li H.X., Peng J.Y., and Wang J.Y. Fuzzy systems and their response functions based on commonly used fuzzy implication operators. Control Theory and Applications 22 3 (2005) 341-347
16. Philippe B., Laurent P., and Eric P. A branch and bound to minimize the number of late jobs on a single machine with release time constraints. European Journal of Operational Research 144 1 (2003) 1-11
17. Liu J.Y., and Tang L.X. A modified genetic algorithm for single machine scheduling. Computers and Industrial Engineering 37 1 (1999) 43-46