On operations of soft sets

Computers and Mathematics with Applications

Volumn 61, Issue 5, 2011, Pages 1457-1467

  Sezgin, Aslhan ^a   Atagün, Akn Osman ^b  

^a AMASYA UNIVERSITY   (Turkey)

^b BOZOK UNIVERSITY   (Turkey)

Author keywords

Extended intersection; Intersection of soft sets; Restricted difference; Restricted symmetric difference; Restricted union; Soft sets; Union of soft sets

Indexed keywords

EXTENDED INTERSECTION; RESTRICTED DIFFERENCE; RESTRICTED UNION; SOFT SETS; SYMMETRIC DIFFERENCE; UNION OF SOFT SETS;

SET THEORY;

EID: 79951724720     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2011.01.018     Document Type: Article

References (25)

1. L.A. Zadeh Fuzzy sets Inform. Control 8 1965 338 353
2. L.A. Zadeh Toward a generalized theory of uncertainty (GTU)-an outline Inform. Sci. 172 2005 1 40 (Pubitemid 40612866)
3. Z. Pawlak Rough sets Int. J. Inform. Comput. Sci. 11 1982 341 356
4. Z. Pawlak, and A. Skowron Rudiments of rough sets Inform. Sci. 177 2007 3 27 (Pubitemid 44556698)
5. W.L. Gau, and D.J. Buehrer Vague sets IEEE Trans. Syst. Man Cybern. 23 2 1993 610 614
6. M.B. Gorzalzany A method of inference in approximate reasoning based on interval-valued fuzzy sets Fuzzy Sets and Systems 21 1987 1 17
7. D. Molodtsov Soft set theory-first results Comput. Math. Appl. 37 1999 19 31
8. P.K. Maji, R. Biswas, and A.R. Roy Soft set theory Comput. Math. Appl. 45 2003 555 562
9. D. Pei, and D. Miao From soft sets to information systems X. Hu, Q. Liu, A. Skowron, T.Y. Lin, R.R. Yager, B. Zhang, Proceedings of Granular Computing 2005 IEEE (2) 617 621 (Pubitemid 44867668)
10. M.I. Ali, F. Feng, X. Liu, and W.K. Min On some new operations in soft set theory Comput. Math. Appl. 57 9 2009 1547 1553
11. P.K. Maji, A.R. Roy, and R. Biswas An application of soft sets in a decision making problem Comput. Math. Appl. 44 2002 1077 1083 (Pubitemid 35250559)
12. D.A. Molodtsov, V.Yu. Leonov, and D.V. Kovkov Soft sets technique and its application Nech. Siste. Myakie Vychisleniya 1/1 2006 8 39
13. Y. Zou, and Z. Xiao Data analysis approaches of soft sets under incomplete information Knowl.-Based Syst. 21 2008 941 945
14. N. ag̃man, and S. Enginolu Soft set theory and uni-int decision making Eur. J. Oper. Res. 207 2010 848 855
15. N. aman, and S. Enginolu Soft matrix theory and its decision making Comput. Math. Appl. 59 2010 3308 3314
16. H. Akta, and N. ag̃man Soft sets and soft groups Inform. Sci. 177 2007 2726 2735
17. Y.B. Jun Soft BCK/BCI-algebras Comput. Math. Appl. 56 2008 1408 1413
18. Y.B. Jun, and C.H. Park Applications of soft sets in ideal theory of BCK/BCI-algebras Inform. Sci. 178 2008 2466 2475
19. F. Feng, Y.B. Jun, and X. Zhao Soft semirings Comput. Math. Appl. 56 2008 2621 2628
20. Y.B. Jun, K.J. Lee, and J. Zhan Soft p-ideals of soft BCI-algebras Comput. Math. Appl. 58 2009 2060 2068
21. U. Acar, F. Koyuncu, and B. Tanay Soft sets and soft rings Comput. Math. Appl. 59 2010 3458 3463
22. O. Kazanc,. Ylmaz, and S. Yamak Soft sets and soft BCH-algebras Hacet J. Math. Stat. 39 2 2010 205 217
23. A. Sezgin, A.O. Atagün, E. Aygün, A note on soft near-rings and idealistic soft near-rings, Filomat (in press).
24. A. Sezgin, A.O. Atagün, A detailed note on soft set theory (submitted for publication).
25. A.O. Atagün, A. Sezgin, Soft substructures of rings, fields and modules, Comput. Math. Appl., doi:10.1016/j.camwa.2010.12.005.