Fuzzy Soft LA-(m,n)-Γ-ideals in LA-Γ-semigroups

Canan Akın

Article ID: 902
Vol 3, Issue 1, 2020

VIEWS - 1021 (Abstract) 430 (PDF)

Abstract


In this paper, we introduce some certain fuzzy soft algebraic notions of generalized concepts in LA-Γ-semigroups and study some properties of their families.


Keywords


Soft Sets; LA-Γ-semigroup; LA-(m,n)-Γ-ideals

Full Text:

PDF


References


1. Abbasi MY and Basar A. On generalizations of ideals in LA-Γ-semigroups. Southeast Asian Bulletin of Mathematics 2015; 39 : 1-12.

2. Ahmad B and Kharal A. On Fuzzy Soft Sets. Advances in Fuzzy Systems 2009; Volume 2009, Article ID 586507, 6 pages, doi:10.1155/2009/586507

3. Akın C. Fuzzy LA-(m,n)-Γ-ideals in LA-Γ-semigroups. Advances in Fuzzy Sets and Systems 2017; 22 : 211-223.

4. Akram M, Kavikumar J and Khamis A. Fuzzy Soft Gamma Semigroups. Applied Mathematics and Information Sciences 2014; 8(2): 929-934.

5. Aygünoğlu Aand Aygün H. Introduction to fuzzy soft groups. Comput. Math. Appl. 2009; 58:1279-1286.

6. Çelik Y, Ekiz C and Yamak S. A new view on soft rings. Hacettepe Journal of Mathematics and Statistics 2011; 40 (2): 273-286.

7. Çelik Y, Ekiz C and Yamak S. Applications of fuzzy soft sets in ring theory. Annals Fuzzy Mathematics and Informatics 2013; 3 (5): 451-462.

8. Feng F, Jun -YB and Zhao -X. Soft semirings. Computers and Mathematics with Applications 2008; 56 : 2621-2628.

9. Irfan Ali M, Feng F, Liu X, Min WK and Shabir M. On some new operations in soft set theory. Computers and Mathematics with Applications 2009; 57: 1547-1553.

10. Jun YB and Lee CY. Fuzzy Γ-rings. Pusan Kyongnam Math. J. 1981; 84: 264-269.

11. Kazancı O, Yılmaz Ş and Yamak S. Soft sets and soft bch-algebrass. Hacettepe Journal of Mathematics and Statistics 2010; 39 (2) : 205-217.

12. Kazım MA and Naseeruddin M. On almost semigroups. The Alig. Bull. Math. 1972; 2 :1-7.

13. Khan M, Jun YB and Yousafzai F, Fuzzy ideals in right regular LA-semigroups. Hacettepe Journal of Mathematics and Statistics 2015; 44 (3): 569 – 586.

14. Khan M, Smarandache F and Anis S. Theory of Abel Grassmann’s Groupoids. Educational Publisher, Columbus, 2015.

15. Kharal A and Ahmad B. Mappings on soft classes. New Mathematics and Natural Computation 2011; 7 (3): 471-481.

16. Maji PK, Biswas R and Roy R. Soft set theory. Computers and Mathematics with Applications 2003; 45 ; 555-562.

17. Maji PK, Biswas R and Roy R. Fuzzy soft sets, J. Fuzzy Math. 2001; 9 (3) ; 589-602.

18. Molodtsov D. Soft set theory first results. Computers and Mathematics with Applications1999; 37: 19–31.

19. Sen MK. On Γ-semigroups. Proceeding of International Symposium on Algebra and Its Applications. Decker Publication, New York, 30, 1981, 1-8.

20. Sen MK and Saha NK. On Γ-semigroups I. Bull. Cal. Math. Soc. 1986;78:180-186.

21. Shah T and Rehman I. Decomposition of Locally Associative Γ-AG-groupoids. Novi Sad J. Math. 2013; 4 ,Vol. 43, No. 1; 1-8.

22. Shah T and Rehman I. On Γ-ideals and Γ-bi-ideals in Γ-AG-groupoids. International Journal of Algebra 2010; 4 (6): 267-276.

23. Shah T and Rehman I and Khan A. Fuzzy Γ-ideals in Γ-AG-groupoids. Hacettepe Journal of Mathematics and Statistics 2014; 43(4): 625-634.

24. Yang CF. Fuzzy soft semigroups and fuzzy soft ideals. Computers and Mathematics with Applications 2011; 61 (2); 255-261.

25. Zadeh LA. Fuzzy Sets. Inform. and Control1965; 8 : 338-353.




DOI: https://doi.org/10.24294/ijmss.v1i3.902

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Creative Commons License

This site is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.