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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)

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

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