Anti S-fuzzy soft subhemirings of a hemiring
Downloads
DOI:
https://doi.org/10.26637/mjm503/013Abstract
In this paper, we have studied the algebraic operations of anti S-fuzzy soft sets to establish their basic properties. We have discussed different algebraic structures of anti S-fuzzy soft sets under the restricted and extended operations of union and intersection in a comprehensive manner. Logical equivalences have also been made in order to give a complete overview of these structures.
Keywords:
Fuzzy soft set, anti S fuzzy soft subhemiring, pseudo anti S fuzzy soft cosetMathematics Subject Classification:
Mathematics- Pages: 574-579
- Date Published: 01-07-2017
- Vol. 5 No. 03 (2017): Malaya Journal of Matematik (MJM)
M. T. Abu Osman, On some product of fuzzy subgroups, Fuzzy Sets and Systems, 24(1987) 79-86. DOI: https://doi.org/10.1016/0165-0114(87)90115-1
B. Ahmad and A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems, 1-6, 2009. DOI: https://doi.org/10.1155/2009/586507
H. Aktas and N. CaSman, Soft sets and soft groups, Inform. Sci. 177 (2007) 2726-2735. DOI: https://doi.org/10.1016/j.ins.2006.12.008
M. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set Theory, Computers and Mathematics with Applications, 57(2009), 1547-1553. DOI: https://doi.org/10.1016/j.camwa.2008.11.009
M. I. Ali, M. Shabir and M. Naz, Algebraic structures of soft sets associated with new operations, Computers and Mathematics with Applications, 61(2011), 2647-2654. DOI: https://doi.org/10.1016/j.camwa.2011.03.011
K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986): 87-96. DOI: https://doi.org/10.1016/S0165-0114(86)80034-3
Bih-Sheue Shieh, Infinite fuzzy relation equations with continuous t-norms, Information Sciences, 178(2008), 1961-1967. DOI: https://doi.org/10.1016/j.ins.2007.12.006
D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, 1980.
F. Feng, Y. B. Jun and X. Zhao, Soft semirings, Computers and Mathematics with Applications, 56(2008) 2621-2628. DOI: https://doi.org/10.1016/j.camwa.2008.05.011
Y. B. Jun, Soft BCK/BCI-algebra, Computers and Mathematics with Applications, 56(2008) 14081413. DOI: https://doi.org/10.1016/j.camwa.2008.02.035
D. Molodtsov, Soft set theory first result, Computers and Mathematics with Applications, 37 (1999) 19-31 DOI: https://doi.org/10.1016/S0898-1221(99)00056-5
P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computers and Mathematics with Applications, 45 (2003), 555-562. DOI: https://doi.org/10.1016/S0898-1221(03)00016-6
P. K. Maji, R. Biswas and A.R. Roy, Fuzzy soft sets, The J. Fuzzy Math., 9(2001): 589-602.
Qiu-Mei Sun, Zi-Liong Zhang and Jing Liu, Soft sets and soft modules, Lecture Notes in Comput. Sci., $5009(2008)$ 403-409.
X. Yang, D. Yu, J. Yang and C. Wu, Generalization of Soft Set Theory: From Crisp to Fuzzy Case, Proceedings of the Second International Conference of Fuzzy Information and Engineering (ICFIE2007), 27-Apr., pp. 345-355. DOI: https://doi.org/10.1007/978-3-540-71441-5_39
L. A. Zadeh, Fuzzy sets, Inform. And Control, 8(1965), 338-353. DOI: https://doi.org/10.1016/S0019-9958(65)90241-X
H. J. Zimmermann, Fuzzy Set Theory and Its Applications, Kluwer, 1991. DOI: https://doi.org/10.1007/978-94-015-7949-0
- NA
Similar Articles
- N. Anitha, M. Latha, On $\mathbb{S}$ fuzzy soft sub hemi rings of a hemi ring , Malaya Journal of Matematik: Vol. 5 No. 03 (2017): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2017 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
