논문KCI 등재
Soft topological vector space
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In the present paper a notion of soft topological vector spaces has been presented and some basic properties of such spaces are studied. Soft seminorm, soft Minkowski functional on a soft linear space are defined and the problem of soft normability of soft topological vector spaces has been addressed to.
Abstract
In the present paper a notion of soft topological vector spaces has been presented and some basic properties of such spaces are studied. Soft seminorm, soft Minkowski functional on a soft linear space are defined and the problem of soft normability of soft topological vector spaces has been addressed to.
참고문헌 (32)
- H. Aktas, "Soft sets and soft groups", Inform. Sci, 177, pp.2726~2735 (2007)
- A. Aygunoglu, "Some notes on soft topological spaces", Neural Comput & Applic, pp.S113~S119 (2012)
- K. V. Babitha, "Soft set relations and functions", Comput. Math. Appl, 60, pp.1840~1849 (2010)
- K. V. Babitha, "Studies on soft topological spaces", Journal of Intelligent & Fuzzy Systems, 28, pp.1713~1722 (2015)
- N. Cagman, "Soft topology", Comput. Math. Appl, 62(1), pp.351~358 (2011)
- M. Chiney, "Vector soft topology", Ann. Fuzzy Math. Inform, 10(1), pp.45~64 (2015)
- M. Chiney, "Soft topology redefined (communicated)"
- M. Chiney, "Embedding lemma in soft topological spaces", J. Fuzzy Math
- S. Das, "Soft real sets, soft real numbers and their properties", J. Fuzzy Math, 20(3), pp.551~576 (2012)
- S. Das, "On soft complex sets and soft complex numbers", J. Fuzzy Math, 21(1), pp.195~216 (2013)
- S. Das, "On soft metric spaces", J. Fuzzy Math, 21(3), pp.707~734 (2013)
- S. Das, "On soft linear spaces and soft normed linear spaces", Ann. Fuzzy Math. Inform, 9(1), pp.91~109 (2015)
- F. Feng, "Soft semirings", Comput. Math. Appl, 56(10), pp.2621~2628 (2008)
- D. N. Georgiou, "On soft topological spaces", Appl. Math. Inf. Sci, 7(5), pp.1889~1901 (2013)
- H. Hazra, "Soft topology", Fuzzy Information and Engineering, 4(1), pp.105~115 (2012)
- S. Hussain, "Some properties of soft topological spaces", Comput. Math. Appl, 62(11), pp.4058~4067 (2011)
- Y. B. Jun, "Soft BCK", BCI- algebras, 2008, pp.56(5), 1408~1413
- Y. B. Jun, "Applications of soft sets in ideal theory of BCK", BCI- algebras, 2008, pp.178(11), 2466~2475
- A. Kharal, "Mappings on soft classes", New Math. Nat. Comput, 7(3), pp.471~481 (2011)
- P. K. Maji, "An Application of soft sets in a decision making problem", Comput. Math. Appl, 44(8-9), pp.1077~1083 (2002)
- P. K. Maji, "Soft set theory", Comput. Math. Appl, 45(4-5), pp.555~562 (2003)
- P. Majumdar, "On soft mappings", Comput. Math. Appl, 60(9), pp.2666~2672 (2010)
- Z. Ma, "Soft set theory based on its extension", Fuzzy Information and Engineering, 2(4), pp.423~432 (2010)
- D. Molodtsov, "Soft set theory first results", Comput. Math. Appl, 37(4-5), pp.19~31 (1999)
- S. Mondal, "Urysohn's lemma and Tietze's extension theorem in soft topological spaces", Ann. Fuzzy Math. Inform, 10(6), pp.883~894 (2015)
- Sk. Nazmul, "Group soft topology", J. Fuzzy Math, 22(2), pp.435~450 (2014)
- Sk. Nazmul, "Neighbourhood properties of soft topological spaces", Ann. Fuzzy Math. Inform, 6(1), pp.1~15 (2013)
- Sk. Nazmul, "Some properties of soft topologies and group soft topologies", Ann. Fuzzy Math. Inform, 8(4), pp.645~661 (2014)
- M. Shabir, "Soft ideals and generalized fuzzy ideals in semigroups", New Math. Nat. Comput, 5(3), pp.599~615 (2009)
- M. Shabir, "On soft topological spaces", Comput. Math. Appl, 61(7), pp.1786~1799 (2011)
- R. Thakur, "Soft Banach algebra", Ann. Fuzzy Math. Inform, 10(3), pp.397~412 (2015)
- I. Zorlutuna, "Remarks on soft topological spaces", Ann. Fuzzy Math. Inform, 3(2), pp.171~185 (2012)
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