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SOME NEW RESULTS ON ORDERINGS ON SOFT SETS
Abstract
Molodtsov [2] introduced the soft set theory. Moreover
Babitha and Sunil [5], [6] introduced partially ordered soft set. In this study
we improve orderings on soft sets by giving new definitions such as filtered
soft set, soft lattice, complete soft lattice, and some results related these
definitions are studied.
Keywords
References
- [1] B. Tanay and G. Yaylalı , New structures On Partially Ordered Soft Sets and Soft Scott Topology, Ann. Fuzzy Math. Inform., 7 89-97 (2014). [2] D. Molodtsov, Soft Set Theory-First Results, Comput. Math.Appl. 37 19-31 (1999).
- [3] G. Gierz, K.H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove and D. S. Scott, Continuous Lattices and Domains, Encyclopedia of Mathematics and its Applications 93, New York, 591 (2003)
- [4] Hrbacek Karel , Jech Thomas , Introduction to Set Theory, Marcel Dekker Inc., (1984). 5. Maji P.K., Biswas R., Roy A.R., Soft set theory, Comput. Math.Appl.45 555-562 (2003). 6. Molodtsov D., Soft Set Theory-First Results, Comput. Math.Appl. 37 19-31 (1999). 7. Tanay B. and Yaylalı G. , New structures On Partially Ordered Soft Sets and Soft Scott Topology, Ann. Fuzzy Math. Inform., Article in press.
- [5] K. V. Babitha, J. J. Sunil, Soft Set Relations and Functions, Comput. Math.Appl. 60 1840-1849 (2010)
- [6] K. V. Babitha, J. J. Sunil, Transitive Closures and Ordering on Soft Sets, Comput. Math. Appl. 62 2235-2239 (2011)
- [7] P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math.Appl. 45 555-562 (2003).
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
June 15, 2015
Submission Date
April 4, 2014
Acceptance Date
January 30, 2015
Published in Issue
Year 2015 Number: 034
APA
Tanay, B., & Yaylalı, G. (2015). SOME NEW RESULTS ON ORDERINGS ON SOFT SETS. Journal of Science and Technology of Dumlupınar University, 034, 17-26. https://izlik.org/JA59BU44KC
AMA
1.Tanay B, Yaylalı G. SOME NEW RESULTS ON ORDERINGS ON SOFT SETS. DPÜFBED. 2015;(034):17-26. https://izlik.org/JA59BU44KC
Chicago
Tanay, Bekir, and Gözde Yaylalı. 2015. “SOME NEW RESULTS ON ORDERINGS ON SOFT SETS”. Journal of Science and Technology of Dumlupınar University, nos. 034: 17-26. https://izlik.org/JA59BU44KC.
EndNote
Tanay B, Yaylalı G (June 1, 2015) SOME NEW RESULTS ON ORDERINGS ON SOFT SETS. Journal of Science and Technology of Dumlupınar University 034 17–26.
IEEE
[1]B. Tanay and G. Yaylalı, “SOME NEW RESULTS ON ORDERINGS ON SOFT SETS”, DPÜFBED, no. 034, pp. 17–26, June 2015, [Online]. Available: https://izlik.org/JA59BU44KC
ISNAD
Tanay, Bekir - Yaylalı, Gözde. “SOME NEW RESULTS ON ORDERINGS ON SOFT SETS”. Journal of Science and Technology of Dumlupınar University. 034 (June 1, 2015): 17-26. https://izlik.org/JA59BU44KC.
JAMA
1.Tanay B, Yaylalı G. SOME NEW RESULTS ON ORDERINGS ON SOFT SETS. DPÜFBED. 2015;:17–26.
MLA
Tanay, Bekir, and Gözde Yaylalı. “SOME NEW RESULTS ON ORDERINGS ON SOFT SETS”. Journal of Science and Technology of Dumlupınar University, no. 034, June 2015, pp. 17-26, https://izlik.org/JA59BU44KC.
Vancouver
1.Bekir Tanay, Gözde Yaylalı. SOME NEW RESULTS ON ORDERINGS ON SOFT SETS. DPÜFBED [Internet]. 2015 Jun. 1;(034):17-26. Available from: https://izlik.org/JA59BU44KC