Full Paper View Go Back

Algebraic Structures of Soft Sub Fields in View of Fuzzy Soft Environment

J.Regala Jebalily1 , G. Subbiah2 , V. Nagarajan3

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.5 , pp.46-51, Oct-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.4651


Online published on Oct 31, 2019


Copyright © J.Regala Jebalily, G. Subbiah, V. Nagarajan . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: J.Regala Jebalily, G. Subbiah, V. Nagarajan, “Algebraic Structures of Soft Sub Fields in View of Fuzzy Soft Environment,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.46-51, 2019.

MLA Style Citation: J.Regala Jebalily, G. Subbiah, V. Nagarajan "Algebraic Structures of Soft Sub Fields in View of Fuzzy Soft Environment." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.5 (2019): 46-51.

APA Style Citation: J.Regala Jebalily, G. Subbiah, V. Nagarajan, (2019). Algebraic Structures of Soft Sub Fields in View of Fuzzy Soft Environment. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(5), 46-51.

BibTex Style Citation:
@article{Jebalily_2019,
author = {J.Regala Jebalily, G. Subbiah, V. Nagarajan},
title = {Algebraic Structures of Soft Sub Fields in View of Fuzzy Soft Environment},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {10 2019},
volume = {6},
Issue = {5},
month = {10},
year = {2019},
issn = {2347-2693},
pages = {46-51},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1510},
doi = {https://doi.org/10.26438/ijcse/v6i5.4651}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i5.4651}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1510
TI - Algebraic Structures of Soft Sub Fields in View of Fuzzy Soft Environment
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - J.Regala Jebalily, G. Subbiah, V. Nagarajan
PY - 2019
DA - 2019/10/31
PB - IJCSE, Indore, INDIA
SP - 46-51
IS - 5
VL - 6
SN - 2347-2693
ER -

368 Views    261 Downloads    120 Downloads
  
  

Abstract :
In this paper, we discuss the analysis of fuzzy soft sub modules over subfields of a field. Some related properties about algebraic substructures of soft fields and soft sub modules are investigated and illustrated by many examples. Finally, we discuss the correlation coefficient between them

Key-Words / Index Term :
Soft set. fuzzy set, interval valued fuzzy set, soft module , soft subfield, trivial, whole, correlation, intersection, product, union

References :
[1] S. Abou-Zaid, On fuzzy subnear-rings and ideals, Fuzzy Sets and Systems 44 (1991) 139–146.
[2] U. Acar, F. Koyuncu, B. Tanay, Soft sets and soft rings, Comput. Math. Appl. 59 (11) (2010) 3458–3463.
[3] A.O. Atagun, A. Sezgin, Soft near-rings (submitted for publication).
[4] H. Aktas, N. Cagman, Soft sets and soft groups, Inform. Sci. 177 (2007) 2726–2735.
[5] H. Aktas, N. Cagman, Soft sets and soft groups, Inform. Sci. 179 (3) (2009) 338 (erratum); Inform. Sci. 177 (2007) 2726–2735.
[6] M.I. Ali, F. Feng, X. Liu, W.K. Min, M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57 (9) (2009) 1547–1553.
[7] A.O. Atagun, Soft subnear-rings, soft ideals and soft N-subgroups of near-rings (submitted for publication).
[8] R. Biswas, S. Nanda, Rough groups and rough subgroups, Bull. Pol. Acad. Sci. Math. 42 (1994) 251–254.
[9] Z. Bonikowaski, Algebraic Structures of Rough Sets, Springer-Verlag, Berlin, 1995.
[10] N. Cagman, S. Enginoglu, Soft matrix theory and its decision making, Comput. Math. Appl. 59 (10) (2010) 3308–3314.
[11] B. Davvaz, Fuzzy ideals of near-rings with interval-valued membership functions, J. Sci. Islam. Repub. Iran 12 (2001) 171–175.
[12] B. Davvaz, (ε, ε ∨ q)-fuzzy subnear-rings and ideals, Soft Comput. 10 (2006) 206–211.
[13] K.H. Kim, Y.B. Jun, On fuzzy ideals of near-rings, Bull. Korean Math. Soc. 33 (1996) 593–601.
[14] F. Feng, X.Y. Liu, V. Leoreanu-Fotea, Y.B. Jun, Soft sets and soft rough sets, Inform. Sci. (2010) doi:10.1016/j.ins.2010.11.004.
[15] F. Feng, C.X. Li, B. Davvaz, M. Irfan Ali, Soft sets combined with fuzzy sets and rough sets: a tentative approach, Soft Comput. 14 (2010) 899–911.
[16] F. Feng, Y.B. Jun, X. Zhao, Soft semirings, Comput. Math. Appl. 56 (2008) 2621–2628.
[17] W.L. Gau, D.J. Buehrer, Vague sets, IEEE Trans. Syst. Man Cybern. 23 (2) (1993) 610–614.
[18] M.B. Gorzalzany, A method of inference in approximate reasoning based on interval-valued fuzzy sets, Fuzzy Sets and Systems 21 (1987) 1–17.
[19] T. Iwinski, Algebraic approach of rough sets, Bull. Pol. Acad. Sci. Math. 35 (1987) 673–683.
[20] D. Molodtsov, Soft set theory-first results, Comput. Math. Appl. 37 (1999) 19–31.
[21] P.K. Maji, A.R. Roy, R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl. 44 (2002) 1077–1083.
[22] P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003) 555–562.
[23] Z. Pawlak, Rough sets, Int. J. Inform. Comput. Sci. 11 (1982) 341–356.
[24] Z. Pawlak, A. Skowron, Rudiments of rough sets, Inform. Sci. 177 (2007) 3–27.
[25] A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971) 512–517.
[26] H.K. Saikia, L.K. Barthakur, On fuzzy N-subgroups of fuzzy ideals of near-rings and near-ring groups, J. Fuzzy Math. 11 (2003) 567–580.
[27] A. Sezgin, A.O. Atagun, E. Aygun, A note on soft near-rings and idealistic soft near-rings, Filomat (in press).
[28] L.A. Zadeh, Fuzzy sets, Inform. Control 8 (1965) 338–353.
[29] L.A. Zadeh, Toward a generalized theory of uncertainty (GTU)-an outline, Inform. Sci. 172 (2005) 1–40.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation