Applications of soft union sets in h-hemiregular and h-intra-hemiregular hemirings

Bulletin of the Malaysian Mathematical Sciences Society

Volumn 38, Issue 2, 2015, Pages 805-825

  Zhan, Jianming ^a   Shum, Kar Ping ^b  

^a HUBEI UNIVERSITY FOR NATIONALITIES   (China)

^b YUNNAN UNIVERSITY   (China)

Author keywords

(H hemiregular semirings; H intra hemiregular) hemirings; Soft set; Soft intersection union(product); SU h bi ideal; SU h quasi ideal

Indexed keywords

EID: 84925858748     PISSN: 01266705     EISSN: 21804206     Source Type: Journal    
DOI: 10.1007/s40840-014-0050-8     Document Type: Article

References (38)

1. Acar, U., Koyuncu, F., Tanay, B.: Soft sets and soft rings. Comput. Math. Appl. 59, 3458–3463 (2010)
2. Aktaş, H., Çaǧman, N.: Soft sets and soft groups. Inform. Sci. 177, 2726–2735 (2007)
3. Ali, M.I.: Another view on reduction of parameters in soft sets. Appl. Soft Comput. 12, 1814–1821 (2012)
4. Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M.: On some new operations in soft set theory. Comput. Math. Appl. 57, 1547–1553 (2009)
5. Ali, M.I., Shabir, M., Naz, M.: Algebraic structures of soft sets associated with new operations. Comput. Math. Appl. 61, 2647–2654 (2011)
6. Çaǧman, N., Citak, F., Aktas, H.: Soft-int group and its applications to group theory. Neural Comput. Appl. 21(Suppl1), 151–158 (2012)
7. Çaǧman, N., Enginoǧlu, S.: Soft matrix theory and its decision making. Comput. Math. Appl. 59(10), 3308–3314 (2010)
8. Çaǧman, N., Enginoǧlu, S.: Soft set theory and uni-int decision making. Eur. J. Oper. Res. 207(2), 848–855 (2010)
9. Dudek, W.A., Shabir, M., Anjum, R.: Characterizations of hemirings by their h-ideals. Comput. Math. Appl. 59, 3167–3179 (2010)
10. Feng, F., Jun, Y.B., Liu, X., Li, L.: An adjustable approach to fuzzy soft set based decision making. J. Comput. Appl. Math. 234, 10–20 (2010)
11. Feng, F., Jun, Y.B., Zhao, X.: Soft semirings. Comput. Math. Appl. 56, 2621–2628 (2008)
12. Feng, F., Li, C., Davvaz, B., Ali, M.I.: Soft sets combined with fuzzy sets and rough sets: a tentative approach. Soft Comput. 14, 899–911 (2010)
13. Jun, Y.B.: Soft BCK/BCI-algebras. Comput. Math. Appl. 56, 1408–1413 (2008)
14. Jun, Y.B., Lee, K.J., Khan, A.: Soft ordered semigroups. Math Logic Q. 56, 42–50 (2010)
15. Jun, Y.B., Lee, K.J., Zhan, J.: Soft p-ideals of soft BCI -algebras. Comput. Math. Appl. 58, 2060–2068 (2009)
16. Jun, Y.B., Ozturk, M.A., Song, S.Z.: On fuzzy h-ideals in hemirings. Inform. Sci. 162, 211–226 (2004)
17. Han, J.S., Kim, H.S., Neggers, J.: Semiring orders in a semiring. Appl. Math. Inform. Sci. 6, 99–102 (2012)
18. Ma, X., Yin, Y., Zhan, J.: Characterizations of h-i ntra- and h-quasi -hemiregular hemirings. Comput. Math. Appl. 63, 783–793 (2012)
19. Ma, X., Zhan, J.: Generalized fuzzy h-bi -ideals of h-bi -ideals and h-quasi -ideals of hemirings. Inform. Sci. 179, 1249–1268 (2009)
20. Ma, X., Zhan, J.: New fuzzy h-ideals in hemirings. UPB Sci. Bull. Ser. A 74, 11–24 (2012)
21. Ma, X., Zhan, J., Shum, K.P.: Generalized fuzzy h-ideals of hemirings. Bull. Malays. Math. Sci. Soc. (2) 34, 561–574 (2011)
22. Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45, 555–562 (2003)
23. Maji, P.K., Roy, A.R., Biswas, R.: An application of soft sets in a decision making problem. Comput. Math. Appl. 44, 1077–1083 (2002)
24. Majumdar, P., Samanta, S.K.: On soft mapping. Comput. Math. Appl. 60, 2666–2672 (2010)
25. Molodtsov, D.: Soft set theory-first results. Comput. Math. Appl. 37(4–5), 19–31 (1999)
26. Qin, K.Y., Hong, Z.: On soft equality. J. Comput. Appl. Math. 234, 1347–1355 (2010)
27. Roy, A.R., Maji, P.K.: A fuzzy soft set theoretic approach to decision making problems. J. Comput. Appl. Math. 203, 214–418 (2007)
28. Sezgin, A.: A new view to ring theory via soft unit rings, ideals and bi -ideals. Knowl. Based Syst. 36, 300–314 (2010)
29. Sezgin, A., Atagun, A.O.: On operations of soft sets. Comput. Math. Appl. 61, 1457–1467 (2011)
30. Sezgin, A., Atagun, A.O., Çaǧman, N.: Union soft substructures of near-rings and N-groups. Neural Comput. Appl. 20, 133–143 (2012)
31. La, D.R.: Torre, on h-ideals and k-ideals in hemirings. Publ. Math. Debr. 12, 219–226 (1965)
32. Xiao, Z., Gong, K., Xia, S., Zou, Y.: Exclusive disjunctive soft sets. Comput. Math. Appl. 59, 2128– 2137 (2010)
33. Yin, Y., Huang, X., Xu, D., Li, H.: The characterizations of h-semisimple hemirings. Int. J. Fuzzy Syst. 11, 116–122 (2009)
34. Yin, Y., Li, H.: The characterizations of h-hemiregular hemirings and h-i ntra-hemiregular hemirings. Inform. Sci. 178, 3451–3464 (2008)
35. Yin, Y., Zhan, : Characterization of ordered semigroups in terms of fuzzy soft ideals. Bull. Malays. Math. Sci. Soc. (2) 35, 997–1015 (2012)
36. Zhan, J., Cagman, N., Sezgin Sezer, A.: Applications of soft union sets to hemirings via SU-h-ideals. J. Intell. Fuzzy Syst. 26, 1363–1370 (2014). doi:10.3233/IFS-130822
37. Zhan, J., Dudek, W.A.: Fuzzy h-ideals of hemirings. Inform. Sci. 177, 876–886 (2007)
38. Zou, Y., Xiao, Z.: Data analysis approaches of soft sets under incomplete information. Knowl. Based Syst. 21, 941–945 (2008)