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Soft multiset in a new perspective

A. I. Isah
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2019.12|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제18권 제3호|pp. 309-315|DOI 10.30948/afmi.2019.18.3.309

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참고문헌

키워드

Soft SetMultisetSoft Multiset

초록

In this paper, the Concept of Soft multisets using multisets of equivalence relation approach is introduced. Soft multiset operations such as union, intersection, complement and so on are also demonstrated. It is further established that both Demorgan's laws and complementation properties hold. Some related results are also presented.

Abstract

In this paper, the Concept of Soft multisets using multisets of equivalence relation approach is introduced. Soft multiset operations such as union, intersection, complement and so on are also demonstrated. It is further established that both Demorgan's laws and complementation properties hold. Some related results are also presented.

참고문헌 (21)

  1. S. Alkhazaleh, "Soft multisets theory", Applied Mathematical Sciences, 72(5), pp.3561~3573 (2011)
  2. K. V. Babitha, "On soft multi sets", Annals of Fuzzy Mathematics and Informatics, 5(1), pp.35~44 (2013)
  3. W. Blizard, "The Development of Multiset Theory", Modern Logic, 1, pp.319~352 (1991)
  4. F. Feng, "Soft semirings", Computers and Mathematics with Applications, 56, pp.2621~2628 (2008)
  5. P. K. Maji, "Soft Multiest Theory", Computers and Mathematics with Applications, 45, pp.555~562 (2003)
  6. P. Majumdar, "Soft multisets", Journal of Mathematics and Computer Science, 2(6), pp.1700~1711 (2012)
  7. D. Molodtsov, "Soft set theory-First results", Computers and Mathematics with Applications, 37(4, pp.5) (1999), 19~31
  8. G. P. Monro, "The concept of multiset, Zeitschriftfur mathematische Logik und Grundlagen der mathematic", mathematical logic quarterly, 33(2), pp.171~178 (1987)
  9. T. J. Neog, "On soft multisets theory", International Journal of Advanced Computer and Mathematical Sciences, 3(3), pp.295~304 (2012)
  10. I_. Osmanoglu, "Compact soft multi spaces", European Journal Of Pure And Applied Mathematics, 7(1), pp.97~108 (2014)
  11. K. Qin, "On soft equality", Journal of Computational and Applied Mathematics, 234, pp.1347~1355 (2010)
  12. G. Senel, "Soft topological subspaces", Annals of Fuzzy Mathematics and Informatics, 10(4), pp.525~535 (2015)
  13. G. Senel, "A New Approach to Hausdor Space Theory via the Soft Sets", Mathematical Problems in Engineering, 9, pp.1~6 (2016)[DOI]
  14. Guzide Senel, "The Parameterization Reduction of Soft Point and its Applications with Soft Matrix", International Journal of Computer Applications, 164(1), pp.1~6 (2017), Foundation of Computer Science[DOI]
  15. Guzide Şenel, "Analyzing the Locus of Soft Spheres: Illustrative Cases and Drawings", European Journal of Pure and Applied Mathematics, 11(4), pp.946~957 (2018), New York Business Global LLC[DOI]
  16. A. Sezgin, "On operations of soft sets", Computers and Mathematics with Applications, 61, pp.1457~1467 (2011)
  17. D. Singh, "An overview of the applications of multisets", Novi Sad Journal of Mathematics, 37(2), pp.73~92 (2007)
  18. D. Singh, "Mathematics of multisets: a unified approach", Afrika Matematika, Springer, 27, pp.1139~1146 (2016)
  19. A. Syropoulos, "Categorical models of multisets", Romanian Journal of Information Science and Technology, 6(3-4), pp.393~400 (2003)
  20. D. Tokat, "Connectedness on soft multi topological spaces", Journal of New Results in Science, 2, pp.8~18 (2013)
  21. D. Tokat, "On soft multi semi-continuous functions", Annals of Fuzzy Mathematics and Informatics, 10(5), pp.691~704 (2015)

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