Research Article
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Year 2016, Volume: 13 Issue: 1 , - , 01.05.2016

A. Erami , A. Hasankhani A. Borumand Saeid

https://izlik.org/JA57WK92PS

Abstract

References

  • [1] U. Acar, F. Koyuncu, B. Tanay, Soft sets and soft rings, Comput. Math. Appl., 59, (2010), 3458-3463.
  • [2] D. Afkhami Taba, A. Hasankhani, M. Bolurian, Soft nexuses, Comput. Math. Appl., 64(6), (2012), 1812-1821.
  • [3] H. Aktas, N. Cagman, Soft sets and soft groups, Inform. Sci., 177, (2007), 2726-2735.
  • [4] A. Ali, M. Aslam, A. Fahmi, Soft Loops, U.P.B. Sci. Bull. Series A, 76(2), (2014), 159-168.
  • [5] N. Cagman, S. Enginoglu, Soft matrix theory and its decision making, Comput. Math. Appl., 59, (2010), 3308- 3314.
  • [6] C. C. Chang, Algebraic analysis of many-valued logic, Trans. Amer. Math. Soc., 88, (1958), 467-490.
  • [7] R. L. O. Cignoli, I. M. L. D’Ottavianoand D. Mundici, AlgebraicFoundationsofMany-ValuedReasoning,Kluwer Academic, Dordrecht, Boston, (2000).
  • [8] F. Citak, N. Cagman, J. Zhan, Soft K-INT-Ideals of Semirings, preprint.
  • [9] A. DiNola, P. Flondor, I. Leustean, MV-modules, J. of Algebra, 267, (2003), 21-40.
  • [10] A. Erami, A. Hasankhani, Soft Vectorial MV -algebras, Indian J. of Science and Technology, 7(9), (2014), 1428- 1436.
  • [11] B. A. Ersoy, S. Onar, B. Davvaz, K. Hila, Structure of idealistic fuzzy soft Γ-near-ring, U.P.B. Sci. Bull. Series A, 77(3), (2015), 15-28.
  • [12] F. Feng, Y. B. Jun, X. Z. Zhao, Soft semirings, Comput. Math. Appl., 56, (2008), 2621-2628.
  • [13] F. Forouzesh, E. Eslami, A. Borumand Saeid, On prime A-ideals in MV-modules, U.P.B. Sci. Bull. Series A, 76(3), (2014), 181-198.
  • [14] A. R. Hadipour, A. Borumand Saeid, Fuzzy soft BF-algebra, Indian J. of Science and Technology, 6(3), 4199- 4204.
  • [15] K. Hila, T. Vougiouklis, K. Naka, On the structure of soft m-ary semihypergroups, U.P.B. Sci. Bull. Series A, 76(4), (2014), 91-106.
  • [16] Y. B. Jun, K. J. Lee, E. H. Roh, IntersectionalsoftBCK/BCI-ideals,AnnalsofFuzzyMathematicsandInformatics, 4(1), (2012), 1-7.
  • [17] Y. B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl., 56, (2008), 1408-1413.
  • [18] Y. B. Jun, S. Z. Song, Filters of BE-algebras associated with uni-soft set theory, Applied Mathematical Sciences, 9(84), (2015), 4155-4164.
  • [19] O. Kazanci, S. Yilmaz, S. Yamak, Soft set and soft BCH-Algebras, Hacettepe J. of Mathematics and Statistics, 39(2), (2010), 205-217.
  • [20] M. Khan, F. Ilyas, M. Gulistan, S. Anis, A study of fuzzy soft AG-groupoids, Annals of Fuzzy Mathematics and Informatics, 9(4), (2015), 621-638.
  • [21] P. K. Maji, R. Biswas, A. R. Roy, Soft Set Theory, Comput. Math. Appl., 45, (2003), 555-562.
  • [22] P. K. Maji, A. R. Roy, An application of soft sets in a decision making problem, Comput. Math. Appl., 44, (2002), 1077-1083.
  • [23] D. Molodtsov, Soft Set Theory: First Results, Comput. Math. Appl., 37, (1999), 19-31.
  • [24] M. M. K. Rao, Fuzzy soft Γ-semiring and fuzzy soft k-ideal over Γ-semiring, Annals of Fuzzy Mathematics and Informatics, 9(2), (2015), 341-354.
  • [25] D. Noje, B. Bede, Vectorial MV-algebras, Soft computing, 7, (2003), 258-262.
  • [26] D. Pei and D. Miao, From soft sets to information systems, Proceedings of Granular Computing, IEEE, 2, (2005), 617-621.
  • [27] Q. M. Sun, Z.L. Zhang, J. Liu, Soft sets and soft modules, Lecture Notes in Computer Science, 5009, (2008), 403-409.
  • [28] S. Yamak, O. Kazanci, B. Davvaz, Soft hyperstructure, Comput. Math. Appl., 62, (2011), 797-803.
  • [29] J. Zhan, W. A. Dudek, Soft MTL-Algebras based on Fuzzy Sets, U.P.B. Sci. Bull Series A, 74(2), (2012), 41-56.
  • [30] Z. Zhu, Soft Sets, Soft BL-algebras and Soft Logic System BL, Sciverse Science direct, Procedia Engineering, 15, (2011), 3531-3535.

MV-Modules in View of soft Set Theory

Year 2016, Volume: 13 Issue: 1 , - , 01.05.2016

A. Erami , A. Hasankhani A. Borumand Saeid

https://izlik.org/JA57WK92PS

Abstract








In this paper, the concept of a soft MV-module is introduced and some examples are provided.
Then, different types of intersections and unions of the family of soft MV -modules are established. Moreover,
the notions of soft MV-submodules and soft MV -module homomorphisms are introduced and some of their
properties are studied. 




Keywords

Soft MV -module Soft set MV -module

References

  • [1] U. Acar, F. Koyuncu, B. Tanay, Soft sets and soft rings, Comput. Math. Appl., 59, (2010), 3458-3463.
  • [2] D. Afkhami Taba, A. Hasankhani, M. Bolurian, Soft nexuses, Comput. Math. Appl., 64(6), (2012), 1812-1821.
  • [3] H. Aktas, N. Cagman, Soft sets and soft groups, Inform. Sci., 177, (2007), 2726-2735.
  • [4] A. Ali, M. Aslam, A. Fahmi, Soft Loops, U.P.B. Sci. Bull. Series A, 76(2), (2014), 159-168.
  • [5] N. Cagman, S. Enginoglu, Soft matrix theory and its decision making, Comput. Math. Appl., 59, (2010), 3308- 3314.
  • [6] C. C. Chang, Algebraic analysis of many-valued logic, Trans. Amer. Math. Soc., 88, (1958), 467-490.
  • [7] R. L. O. Cignoli, I. M. L. D’Ottavianoand D. Mundici, AlgebraicFoundationsofMany-ValuedReasoning,Kluwer Academic, Dordrecht, Boston, (2000).
  • [8] F. Citak, N. Cagman, J. Zhan, Soft K-INT-Ideals of Semirings, preprint.
  • [9] A. DiNola, P. Flondor, I. Leustean, MV-modules, J. of Algebra, 267, (2003), 21-40.
  • [10] A. Erami, A. Hasankhani, Soft Vectorial MV -algebras, Indian J. of Science and Technology, 7(9), (2014), 1428- 1436.
  • [11] B. A. Ersoy, S. Onar, B. Davvaz, K. Hila, Structure of idealistic fuzzy soft Γ-near-ring, U.P.B. Sci. Bull. Series A, 77(3), (2015), 15-28.
  • [12] F. Feng, Y. B. Jun, X. Z. Zhao, Soft semirings, Comput. Math. Appl., 56, (2008), 2621-2628.
  • [13] F. Forouzesh, E. Eslami, A. Borumand Saeid, On prime A-ideals in MV-modules, U.P.B. Sci. Bull. Series A, 76(3), (2014), 181-198.
  • [14] A. R. Hadipour, A. Borumand Saeid, Fuzzy soft BF-algebra, Indian J. of Science and Technology, 6(3), 4199- 4204.
  • [15] K. Hila, T. Vougiouklis, K. Naka, On the structure of soft m-ary semihypergroups, U.P.B. Sci. Bull. Series A, 76(4), (2014), 91-106.
  • [16] Y. B. Jun, K. J. Lee, E. H. Roh, IntersectionalsoftBCK/BCI-ideals,AnnalsofFuzzyMathematicsandInformatics, 4(1), (2012), 1-7.
  • [17] Y. B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl., 56, (2008), 1408-1413.
  • [18] Y. B. Jun, S. Z. Song, Filters of BE-algebras associated with uni-soft set theory, Applied Mathematical Sciences, 9(84), (2015), 4155-4164.
  • [19] O. Kazanci, S. Yilmaz, S. Yamak, Soft set and soft BCH-Algebras, Hacettepe J. of Mathematics and Statistics, 39(2), (2010), 205-217.
  • [20] M. Khan, F. Ilyas, M. Gulistan, S. Anis, A study of fuzzy soft AG-groupoids, Annals of Fuzzy Mathematics and Informatics, 9(4), (2015), 621-638.
  • [21] P. K. Maji, R. Biswas, A. R. Roy, Soft Set Theory, Comput. Math. Appl., 45, (2003), 555-562.
  • [22] P. K. Maji, A. R. Roy, An application of soft sets in a decision making problem, Comput. Math. Appl., 44, (2002), 1077-1083.
  • [23] D. Molodtsov, Soft Set Theory: First Results, Comput. Math. Appl., 37, (1999), 19-31.
  • [24] M. M. K. Rao, Fuzzy soft Γ-semiring and fuzzy soft k-ideal over Γ-semiring, Annals of Fuzzy Mathematics and Informatics, 9(2), (2015), 341-354.
  • [25] D. Noje, B. Bede, Vectorial MV-algebras, Soft computing, 7, (2003), 258-262.
  • [26] D. Pei and D. Miao, From soft sets to information systems, Proceedings of Granular Computing, IEEE, 2, (2005), 617-621.
  • [27] Q. M. Sun, Z.L. Zhang, J. Liu, Soft sets and soft modules, Lecture Notes in Computer Science, 5009, (2008), 403-409.
  • [28] S. Yamak, O. Kazanci, B. Davvaz, Soft hyperstructure, Comput. Math. Appl., 62, (2011), 797-803.
  • [29] J. Zhan, W. A. Dudek, Soft MTL-Algebras based on Fuzzy Sets, U.P.B. Sci. Bull Series A, 74(2), (2012), 41-56.
  • [30] Z. Zhu, Soft Sets, Soft BL-algebras and Soft Logic System BL, Sciverse Science direct, Procedia Engineering, 15, (2011), 3531-3535.
There are 30 citations in total.

Details

Subjects Engineering
Journal Section Research Article
Authors

A. Erami

A. Hasankhani This is me

A. Borumand Saeid This is me

Publication Date May 1, 2016
IZ https://izlik.org/JA57WK92PS
Published in Issue Year 2016 Volume: 13 Issue: 1

Cite

APA Erami, A., Hasankhani, A., & Saeid, A. B. (2016). MV-Modules in View of soft Set Theory. Cankaya University Journal of Science and Engineering, 13(1). https://izlik.org/JA57WK92PS
AMA 1.Erami A, Hasankhani A, Saeid AB. MV-Modules in View of soft Set Theory. CUJSE. 2016;13(1). https://izlik.org/JA57WK92PS
Chicago Erami, A., A. Hasankhani, and A. Borumand Saeid. 2016. “MV-Modules in View of Soft Set Theory”. Cankaya University Journal of Science and Engineering 13 (1). https://izlik.org/JA57WK92PS.
EndNote Erami A, Hasankhani A, Saeid AB (May 1, 2016) MV-Modules in View of soft Set Theory. Cankaya University Journal of Science and Engineering 13 1
IEEE [1]A. Erami, A. Hasankhani, and A. B. Saeid, “MV-Modules in View of soft Set Theory”, CUJSE, vol. 13, no. 1, May 2016, [Online]. Available: https://izlik.org/JA57WK92PS
ISNAD Erami, A. - Hasankhani, A. - Saeid, A. Borumand. “MV-Modules in View of Soft Set Theory”. Cankaya University Journal of Science and Engineering 13/1 (May 1, 2016). https://izlik.org/JA57WK92PS.
JAMA 1.Erami A, Hasankhani A, Saeid AB. MV-Modules in View of soft Set Theory. CUJSE. 2016;13. Available at https://izlik.org/JA57WK92PS.
MLA Erami, A., et al. “MV-Modules in View of Soft Set Theory”. Cankaya University Journal of Science and Engineering, vol. 13, no. 1, May 2016, https://izlik.org/JA57WK92PS.
Vancouver 1.A. Erami, A. Hasankhani, A. Borumand Saeid. MV-Modules in View of soft Set Theory. CUJSE [Internet]. 2016 May 1;13(1). Available from: https://izlik.org/JA57WK92PS