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The ring of soft pˆ-adic numbers

Fawzan Sidky|M. E. El-Shafei|M. K. Tahat
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2021.04|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제21권 제2호|pp. 179-193|DOI 10.30948/afmi.2021.21.2.179

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참고문헌

키워드

Soft topologyp-adic NumbersSoft SetsSoft integersSoft pˆ-adic numbersSoftpˆ-adic metric space

초록

We have studied and investigated the soft integers as a significant subset of soft real numbers, as we have developed many well-known theorems over integers to deal with the soft theory like the Chinese remainder theorem over the soft integers beside many other theories. Also, we have studied and investigated the p-adic numbers in the aspect of the soft theory to introduce the ring of soft pˆ-adic numbers and study some of their properties.

Abstract

We have studied and investigated the soft integers as a significant subset of soft real numbers, as we have developed many well-known theorems over integers to deal with the soft theory like the Chinese remainder theorem over the soft integers beside many other theories. Also, we have studied and investigated the p-adic numbers in the aspect of the soft theory to introduce the ring of soft pˆ-adic numbers and study some of their properties.

참고문헌 (33)

  1. D. Molodtsov, "Soft set theory–first results", Comput. Math. Appl, 37(4), pp.19~31 (1999)
  2. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)
  3. W. L. Gau, "IEEE Transactions on Systems", Man and Cybernetics, 23(2), pp.610~614 (1993)
  4. Z. Pawlak, "Rough sets", Internat. J. Comput. Inform. Sci, 11(5), pp.341~356 (1982)
  5. D. Meng, "Soft rough fuzzy sets and soft fuzzy rough sets", Comput. Math. Appl, 62(12), pp.4635~ (2011)
  6. E. Türkmen, "On some new operations in soft module theory", Neural. Comput. Appl, 22(6), pp.1233~1237 (2013)
  7. H. Aktaş, "Soft decision making methods based on fuzzy sets and soft sets", J. Intell. Fuzzy Syst, 30(5), pp.2797~2803 (2016)
  8. F. Smarandache, "Extension of soft set to hypersoft set, and then to plithogenic hypersoft set", Neutrosophic Sets Syst, 22, pp.168~170 (2018)
  9. 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)
  10. T. M. Al-shami, "Partial belong relation on soft separation axioms and decision-making problem, two birds with one stone", Soft Comput, 24(7), pp.5377~5387 (2020)
  11. M. E. El-Shafei, "Partial soft separation axioms and soft compact spaces", Filomat, 32(13), pp.4755~4771 (2018)
  12. T. M. Al-shami, "The equivalence between the enriched and extended soft topologies", Appl. Comput. Math, 18(2), pp.149~162 (2019)
  13. T. M. Al-shami, "On soft topological ordered spaces", J. King Saud Univ. Sci, 31(4), pp.556~566 (2019)
  14. T. M. Al-shami, "Sum of soft topological spaces", Mathematics, 8, pp.990~ (2020)
  15. U. Acar, "Soft sets and soft rings", Comput. Math. Appl, 59(11), pp.3458~3463 (2010)
  16. M. Shabir, "On soft topological spaces", Comput. Math. Appl, 61(7), pp.1786~1799 (2011)
  17. A. Aygünoğlu, "Some notes on soft topological spaces", Neural. Comput. Appl, 21(1), pp.113~119 (2012)
  18. S. Nazmul, "Neighbourhood properties of soft topological spaces", Ann. Fuzzy Math. Inform, 6(1), pp.1~15 (2013)
  19. A. Kandil, "Some types of pairwise soft sets and the associated soft topologies", J. Intell. Fuzzy Syst, 32(1), pp.1007~1018 (2017)
  20. M. K. Tahat, "Soft topological soft groups and soft rings", Soft Comput, 22(21), pp.7143~7156 (2018)
  21. Fawzan Sidky, "Soft Topological Soft Modules", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 20(3), pp.257~272 (2020), 기초자연과학연구소[DOI]
  22. M. K. Tahat, "Soft topological rings", J. King Saud Univ. Sci, 31(4), pp.1127~1136 (2019)
  23. S. Das, "soft real numbers and their properties", J. Fuzzy Math, 20(3), pp.551~576 (2012)
  24. S. Das, "On soft metric spaces", J. Fuzzy Math, 21(3), pp.707~734 (2013)
  25. S. Das, "Soft metric", Ann. Fuzzy Math. Inform, 6(1), pp.77~94 (2013)
  26. S. Das, "On soft complex sets and soft complex numbers", J. Fuzzy Math, 21(1), pp.195~216 (2013)
  27. R. Thakur, "A study on some fundamental properties of continuity and differentiability of functions of soft real numbers", Adv. Fuzzy Syst, 2018, pp.8~ (2018)
  28. K. Hensel, "Über eine neue begründung der theorie der algebraischen zahlen", Jahresbericht der Deutschen Mathematiker-Vereinigung, 6, pp.83~88 (1897)
  29. F. Q. Gouvêa, "p-adic Numbers", pp.43~85 (1997), Springer
  30. I. M. Isaacs, "Algebra: a graduate course, vol 100" (1994), American Mathematical Soc
  31. P. K. Maji, "Soft set theory", Comput. . Appl, 45(4), pp.555~562 (2003)
  32. K. V. Babitha, "Soft set relations and functions", Comput. Math. Appl, 60(7), pp.1840~1849 (2010)
  33. R. Hassanand, "Soft real analysis", Journal of Progressive Research in Mathematics, 8(1), pp.1207~1219 (2016)

관련 논문AI추천

Soft Topological Soft ModulesFawzan Sidky, M. E. El-Shafei, M. K. Tahat기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제20권 제3호FUZZY SOFT MODULESDajing Xiang, Gaoxiang Xiao, Jianming Zhan영남수학회 · East Asian Mathematical Journal2012 · 제28권 제1호Soft topological modulesFawzan Sidky, M. E. El-Shafei, M. K. Tahat기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제3호Soft $\Gamma$-rings and idealistic soft $\Gamma$-ringsEbubekir Inan, Mehmet Ali Ozturk기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2011 · 제1권 제1호Soft Hemirings Related to Fuzzy Set Theoryhuajunwu, Jianming Zhan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제1호Novel concepts of soft sets with applicationsKhalid Naeem, M. Ozair. Ahmad, Muhammad Riaz기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제2호

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