Union soft substructures of near-rings and N-groups

Neural Computing and Applications

Volumn 21, Issue SUPPL. 1, 2012, Pages 133-143

  Sezgin, Aslihan ^a   Atagün, Akin Osman ^b   Çaǧman, Naim ^c  

^a AMASYA UNIVERSITY   (Turkey)

^b BOZOK UNIVERSITY   (Turkey)

^c GAZIOSMANPASA UNIVERSITY   (Turkey)

Author keywords

inclusion; Soft anti image; Soft set; Union soft ideal; Union soft N ideal; Union soft N subgroup; Union soft subnear ring

Indexed keywords

SOFT ANTI-IMAGE; SOFT SETS; UNION SOFT IDEAL; UNION SOFT N-IDEAL; UNION SOFT N-SUBGROUP; UNION SOFT SUBNEAR-RING;

SET THEORY;

EID: 84865823705     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00521-011-0732-1     Document Type: Article

References (35)

1. Molodtsov D (1999) Soft set theory-first results. Comput Math Appl 37: 19-31.
2. Acar U, Koyuncu F, Tanay B (2010) Soft sets and soft rings. Comput Math Appl 59: 3458-3463.
3. Aktaş H, Çaǧman N (2007) Soft sets and soft groups. Inform Sci 177: 2726-2735.
4. Sezgin A, Atagün AO (2011) Soft groups and normalistic soft groups. Comput Math Appl 62(2): 685-698.
5. Feng F, Jun YB, Zhao X (2008) Soft semirings. Comput Math Appl 56: 2621-2628.
6. Jun YB (2008) Soft BCK/BCI-algebras. Comput Math Appl 56: 1408-1413.
7. Jun YB, Park CH Applications of soft sets in ideal theory of BCK/BCI-algebras. Inform Sci 178: 2466-2475.
8. Jun YB, Lee KJ, Zhan J (2009) Soft p-ideals of soft BCI-algebras. Comput Math Appl 58: 2060-2068.
9. Jun YB, Lee KJ, Park CH (2009) Soft set theory applied to ideals in d-algebras. Comput Math Appl 57: 367-378.
10. Kazanci{dotless} O, Yi{dotless}lmaz Ş, Yamak S (2010) Soft sets and soft BCH-algebras. Hacet J Math Stat 39(2): 205-217.
11. Sezgin A, Atagün AO, Aygün E (2011) A note on soft near-rings and idealistic soft near-rings. Filomat 25(1): 53-68.
12. Zhan J, Jun YB (2010) Soft BL-algebras based on fuzzy sets. Comput Math Appl 59(6): 2037-2046.
13. Atagün AO, Sezgin A (2011) Soft substructures of rings, fields and modules. Comput Math Appl 61(3): 592-601.
14. Maji PK, Biswas R, Roy AR (2003) Soft set theory. Comput Math Appl 45: 555-562.
15. Ali MI, Feng F, Liu X, Min WK, Shabir M (2009) On some new operations in soft set theory. Comput Math Appl 57: 1547-1553.
16. Sezgin A, Atagün AO (2011) On operations of soft sets. Comput Math Appl 61(5): 1457-1467.
17. Babitha KV, Sunil JJ (2010) Soft set relations and functions. Comput Math Appl 60(7): 1840-1849.
18. Majumdar P, Samanta SK (2010) On soft mappings. Comput Math Appl 60(9): 2666-2672.
19. Çaǧman N, Karataş S, Enginoǧlu S (2011) Soft topology. Comput Math Appl 62: 351-358.
20. Çaǧman N, Enginoǧlu S (2010) Soft matrix theory and its decision making. Comput Math Appl 59: 3308-3314.
21. Çaǧman N, Enginoǧlu S (2010) Soft set theory and uni-int decision making. Eur J Oper Res 207: 848-855.
22. Maji PK, Roy AR, Biswas R (2002) An application of soft sets in a decision making problem. Comput Math Appl 44: 1077-1083.
23. Molodtsov DA, Leonov VY, Kovkov DV (2006) Soft sets technique and its application. Nechetkie Sistemy i Myagkie Vychisleniya 1(1): 8-39.
24. Zhan J, Yin Y (2010) Redefined generalized fuzzy ideals of near-rings. Appl Math J Chinese Univ Ser B 25(3): 341-348.
25. Zhan J, Davvaz B (2009) Generalized fuzzy ideals of near-rings. Appl Math J Chinese Univ Ser B 24(3): 343-349.
26. Zhan J, Yin Y (2010) New types of fuzzy ideals of near-rings. Neural Comput Appl. doi: 10. 1007/s00521-011-0570-1.
27. Atagün AO Soft subnear-rings, soft ideals and soft N-subgroups of near-rings (submitted).
28. Atagün AO, Sezgin A Soft substructures of near-ring modules (submitted).
29. Pilz G (1983) Near-rings. North Holland Publishing Company, Amsterdam.
30. Feng F, Liu XY, Leoreanu-Fotea V, Jun YB (2011) Soft sets and soft rough sets. Inform Sci 181(6): 1125-1137.
31. Feng F, Li C, Davvaz B, Ali MI (2010) Soft sets combined with fuzzy sets and rough sets: a tentative approach. Soft Comput 14(6): 899-911.
32. Çaǧman N, Çi{dotless}tak F, Aktaş H Group SI-action and its applications (submitted).
33. Çaǧman N, Sezgin A, Atagün AO, Group SU-action and its applications (submitted).
34. Çaǧman N, Sezgin A, Atagün AO, α-inclusions and their applications to group theory (submitted).
35. Atagün AO, Groenewald NJ (2009) Primeness in near-rings with multiplicative semi-groups satisfying the three identities. J Math Sci Adv Appl 2: 137-145.