Soft Topological Soft Modules
1
조회
0
다운로드
4
인용
0
참고문헌
키워드
초록
In this paper, we have proposed a refinement for the concept of soft mapping along with a new definition of the soft element of soft sets to discuss the soft continuity of soft mapping over soft sets. Moreover, we have introduced the concept of soft modules over soft rings and studied the soft continuity of soft module operations over soft topological spaces to proceed with the main goal of this paper. Introducing the concept of soft topological soft modules.
Abstract
In this paper, we have proposed a refinement for the concept of soft mapping along with a new definition of the soft element of soft sets to discuss the soft continuity of soft mapping over soft sets. Moreover, we have introduced the concept of soft modules over soft rings and studied the soft continuity of soft module operations over soft topological spaces to proceed with the main goal of this paper. Introducing the concept of soft topological soft modules.
참고문헌 (28)
- U. Acar, "Soft sets and soft rings", Comput. Math. Appl, 59(11), pp.3458~3463 (2010)
- H. Aktaş, "Soft sets and soft groups", Inform. Sci, 177(13), pp.2726~2735 (2007)
- T. M. Al-shami, "Partial belong relation on soft separation axioms and decision-making problem, two birds with one stone", Soft Computing, 24(7), pp.5377~5387 (2020)
- T. M. Al-shami, "The equivalence between the enriched and extended soft topologies", Appl. Comput. Math, 18(2), pp.149~162 (2019)
- T. M. Al-shami, "On soft topological ordered spaces", Journal of King Saud University-Science, 31(4), pp.556~566 (2019)
- T. M. Al-shami, "Sum of soft topological spaces", Mathematics, 8(6), pp.990~ (2020)
- K. V. Babitha, "Soft set relations and functions", Comput. Math. Appl, 60(7), pp.1840~1849 (2010)
- N. Çağman, "Soft topology", Comput. Math. Appl, 62(1), pp.351~358 (2011)
- Y. Çelik, "A new view on soft rings", Hacet. J. Math. Stat, 40(2), pp.273~286 (2011)
- M. E. El-Shafei, "Partial soft separation axioms and soft compact spaces", Filomat, 32(13), pp.4755~4771 (2018)
- M. E. El-Shafei, "Applications of partial belong and total nonbelong relations on soft separation axioms and decision-making problem", Comput. Appl. Math., 39, pp.138~ (2020)[DOI]
- F. Feng, "Soft semirings", Comput. Math. Appl., 56(10), pp.2621~2628 (2008)
- S. Hussain, "Some properties of soft topological spaces", Comput. Math. Appl., 62(11), pp.4058~4067 (2011)
- T. Judson, "Abstract algebra: theory and applications" (2014), Stephen F. Austin State University
- A. Kharal, "Mappings on soft classes", New Math. Nat. Comput., 7(3), pp.471~481 (2011)
- P. K. Maji, "Soft set theory", Comput. Math. Appl., 45(4-5), pp.555~562 (2003)
- D. Molodtsov, "Soft set theory-first results", Comput. Math. Appl, 37(4-5), pp.19~31 (1999)
- S. Nazmul, "Neighbourhood properties of soft topological spaces", Ann. Fuzzy Math. Inform, 6(1), pp.1~15 (2013)
- Z. Pawlak, "Rough sets", Internat, J. Comput. Inform. Sci., 11(5), pp.341~356 (1982)
- G. Şenel, "A new approach to hausdorff space theory via the soft sets", Mathematical Problems in Engineering, 2016, pp.6~ (2016)
- G. Şenel, "Soft topology generated by l-soft sets", Journal of New Theory, 4(24), pp.88~100 (2018)
- G. Şenel, "Soft topological subspaces", Ann. Fuzzy Math. Inform., 10(4), pp.525~535 (2015)
- M. Shabir, "On soft topological spaces", Comput. Math. Appl., 61(7), pp.1786~1799 (2011)
- Q.-M. Sun, "Soft sets and soft modules", International Conference on Rough Sets and Knowledge Technology, pp.403~409 (2008), Springer
- M. K. Tahat, "Soft topological soft groups and soft rings", Soft Computing, 22(21), pp.7143~7156 (2018)
- M. K. Tahat, "Soft topological rings", Journal of King Saud University-Science, 31(4), pp.1127~1136 (2019)
- S. Warner, "Topological rings, vol. 178 of North-Holland Mathematics Studies" (1993), NorthHolland Publishing Co
- L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)
