Soft substructures of rings, fields and modules

Computers and Mathematics with Applications

Volumn 61, Issue 3, 2011, Pages 592-601

  Atagün, Akin Osman ^a   Sezgin, Aslihan ^b  

^a BOZOK UNIVERSITY   (Turkey)

^b AMASYA UNIVERSITY   (Turkey)

Author keywords

Soft ideals of rings; Soft sets; Soft subfields of fields; Soft submodules of modules; Soft subrings of rings

Indexed keywords

SOFT IDEALS OF RINGS; SOFT SETS; SOFT SUBRINGS OF RINGS; SUBFIELDS; SUBMODULES;

SET THEORY;

EID: 78951489028     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.12.005     Document Type: Article

References (29)

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
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
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, A.R. Roy, and R. Biswas An application of soft sets in a decision making problem Comput. Math. Appl. 44 2002 1077 1083
9. P.K. Maji, R. Biswas, and A.R. Roy Soft set theory Comput. Math. Appl. 45 2003 555 562
10. H. Akta, and N. ag̃man Soft sets and soft groups Inform. Sci. 177 2007 2726 2735
11. H. Akta, and N. ag̃man Soft sets and soft groups Inform. Sci. 179 3 2009 338 (erratum) Inform. Sci. 177 2007 2726 2735
12. M.I. Ali, F. Feng, X. Liu, W.K. Min, and M. Shabir On some new operations in soft set theory Comput. Math. Appl. 57 9 2009 1547 1553
13. F. Feng, Y.B. Jun, and X. Zhao Soft semirings Comput. Math. Appl. 56 2008 2621 2628
14. N. ag̃man, and S. Enginog̃lu Soft matrix theory and its decision making Comput. Math. Appl. 59 10 2010 3308 3314
15. U. Acar, F. Koyuncu, and B. Tanay Soft sets and soft rings Comput. Math. Appl. 59 11 2010 3458 3463
16. A.O. Atagün, A. Sezgin, Soft near-rings (submitted for publication).
17. A. Sezgin, A.O. Atagn, E. Aygn, A note on soft near-rings and idealistic soft near-rings, Filomat (in press).
18. A. Rosenfeld Fuzzy groups J. Math. Anal. Appl. 35 1971 512 517
19. S. Abou-Zaid On fuzzy subnear-rings and ideals Fuzzy Sets and Systems 44 1991 139 146
20. B. Davvaz Fuzzy ideals of near-rings with interval-valued membership functions J. Sci. Islam. Repub. Iran 12 2001 171 175
21. B. Davvaz (ε, ε ∨ q ) -fuzzy subnear-rings and ideals Soft Comput. 10 2006 206 211
22. K.H. Kim, and Y.B. Jun On fuzzy ideals of near-rings Bull. Korean Math. Soc. 33 1996 593 601
23. H.K. Saikia, and L.K. Barthakur On fuzzy N-subgroups of fuzzy ideals of near-rings and near-ring groups J. Fuzzy Math. 11 2003 567 580
24. A.O. Atagn, Soft subnear-rings, soft ideals and soft N-subgroups of near-rings (submitted for publication).
25. R. Biswas, and S. Nanda Rough groups and rough subgroups Bull. Pol. Acad. Sci. Math. 42 1994 251 254
26. Z. Bonikowaski Algebraic Structures of Rough Sets 1995 Springer-Verlag Berlin
27. T. Iwinski Algebraic approach of rough sets Bull. Pol. Acad. Sci. Math. 35 1987 673 683
28. F. Feng, X.Y. Liu, V. Leoreanu-Fotea, and Y.B. Jun Soft sets and soft rough sets Inform. Sci. 2010 10.1016/j.ins.2010.11.004
29. F. Feng, C.X. Li, B. Davvaz, and M. Irfan Ali Soft sets combined with fuzzy sets and rough sets: a tentative approach Soft Comput. 14 2010 899 911