본문 바로가기
KERD
논문KCI 등재

On soft compact and soft Lindel\"{o}f spaces via soft pre-open sets

M. E. El-Shafei|T. M. Al-shami
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2019.02|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제17권 제1호|pp. 79-100|DOI 10.30948/afmi.2019.17.1.79

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

Soft pre-compactnessAlmost (ApproximatelyMildly) soft pre-compactnessSoft pre-irresolute map and soft subspace

초록

In this study, the authors employ soft pre-open sets to define and discuss eight sorts of generalized soft compact spaces, namely soft pre-compact, soft pre-Lindel\"{o}f, almost (approximately, mildly) soft pre-compact and almost (approximately, mildly) soft pre-Lindel\"{o}f spaces. Then they characterize each one of these spaces and show the relationships among them with the help of examples. Also, they investigate the image of these spaces under soft pre-irresolute mappings. Furthermore, they present a soft pre-partition notion and point out this notion is sufficient for the equivalent among the four types of soft pre-compact spaces and for the equivalent among the four types of soft pre-Lindel\"{o}f spaces. They demonstrate the relationships between enriched soft topological spaces and the initiated spaces in different cases and obtain interesting results. Finally, they derive some findings which connect between some generalized soft compact spaces introduced in this work and some soft topological notions such as soft pre-connected spaces, soft pre-$T_2$-spaces and soft subspaces.

Abstract

In this study, the authors employ soft pre-open sets to define and discuss eight sorts of generalized soft compact spaces, namely soft pre-compact, soft pre-Lindel\"{o}f, almost (approximately, mildly) soft pre-compact and almost (approximately, mildly) soft pre-Lindel\"{o}f spaces. Then they characterize each one of these spaces and show the relationships among them with the help of examples. Also, they investigate the image of these spaces under soft pre-irresolute mappings. Furthermore, they present a soft pre-partition notion and point out this notion is sufficient for the equivalent among the four types of soft pre-compact spaces and for the equivalent among the four types of soft pre-Lindel\"{o}f spaces. They demonstrate the relationships between enriched soft topological spaces and the initiated spaces in different cases and obtain interesting results. Finally, they derive some findings which connect between some generalized soft compact spaces introduced in this work and some soft topological notions such as soft pre-connected spaces, soft pre-$T_2$-spaces and soft subspaces.

참고문헌 (33)

  1. M. Abbas, "Generalized operations in soft set theory via relaxed conditions on parameters", Filomat, 31(19), pp.5955~5964 (2017)
  2. A. M. Abd El-Latif, "On soft supra compactness in supra soft topological spaces", Tbilisi Math. J, 11(1), pp.169~178 (2018)
  3. A. M. Abd El-latif, "Soft G-Compactness in Soft Topological Spaces", Ann. Fuzzy Math. Inform, 11(6), pp.973~987 (2016)
  4. S. Acharjee, "Some results on soft bitopology", Bol. Soc. Parana. Mat, 35(1), pp.269~279 (2017)
  5. M. Akdag, "On soft preopen sets and soft pre separation axioms", Gazi University Journal of Science, 27(4), pp.1077~1083 (2014)
  6. M. I. Ali, "On some new operations in soft set theory", Comput. Math. Appl, 57, pp.1547~1553 (2009)
  7. T. M. Al-shami, "Corrigendum to "Separation axioms on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 11 (4) (2016) 511- 525"", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 15(3), pp.309~312 (2018), 기초자연과학연구소[DOI]
  8. Tareq Mohammed Al-shami, "Corrigendum to "On Soft Topological Space via Semi-open and Semi-closed Soft Sets, Kyungpook Mathematical Journal, 54(2014), 221-236"", Kyungpook Mathematical Journal, 58(3), pp.583~588 (2018), 경북대학교 자연과학대학 수학과
  9. Tareq M. Al-shami, "Soft somewhere dense sets on soft topological spaces", 대한수학회논문집, 33(4), pp.1341~1356 (2018), 대한수학회
  10. T. M. Al-shami, "Almost soft compact and approximately soft Lindelof spaces", JTUSCI, 12(5), pp.620~630 (2018)
  11. T.M. Al-shami, "On soft topological ordered spaces", Journal of King Saud University - Science, 31(4), pp.556~566 (2019), Elsevier BV[DOI]
  12. I. Arockiarani, "Generalized soft gfi- closed sets and soft gsfi-closed sets in soft topological spaces", IJMA, 4(2), pp.1~7 (2013)
  13. A. Aygunoglu, "Some notes on soft topological spaces", Neural computing & applications, 21, pp.113~119 (2012)
  14. B. Chen, "Soft semi-open sets and related properties in soft topological spaces", Appl. Math. Inf. Sci, 7(1), pp.287~294 (2013)
  15. S. Das, "Soft metric", Ann. Fuzzy Math. Inform, 6(1), pp.77~94 (2013)
  16. M. E. El-Shafei, "Further notions related to new operators and compactness via supra soft topological spaces", International Journal of Advances in Mathematics, 2019(1), pp.44~60 (2019)
  17. M. E. El-Shafei, "Partial soft separation axioms and soft compac spaces", Filomat, 32(13) (2018)
  18. M. E. El-Shafei, "Two notes on ``On soft Hausdorff spaces"", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 16(3), pp.333~336 (2018), 기초자연과학연구소[DOI]
  19. T. Hida, "A comprasion of two formulations of soft compactness", Ann. Fuzzy Math. Inform, 8(4), pp.511~524 (2014)
  20. A. Kandil, "-operation and decompositions of some forms of soft continuity in soft topological spaces", Ann. Fuzzy Math. Inform, 7(2), pp.181~196 (2014)
  21. A. Kandil, "Soft connectedness via soft ideals", JNRS, 4, pp.90~108 (2014)
  22. P. K. Maji, "Soft set theory", Comput. Math. Appl, 45, pp.555~562 (2003)
  23. W. K. Min, "A note on soft topological spaces", Comput. Math. Appl, 62, pp.3524~3528 (2011)
  24. D. Molodtsov, "Soft set theory-first results", Comput. Math. Appl, 37, pp.19~31 (1999)
  25. Sk. Nazmul, "Neighbourhood properties of soft topological spaces", Ann. Fuzzy Math. Inform, 6(1), pp.1~15 (2013)
  26. Sk. Nazmul, "Some properties of soft topologies and group soft topologies", Ann. Fuzzy Math. Inform, 8(4), pp.645~661 (2014)
  27. A. Ozkan, "Soft b-compact spaces", New Trends Math. Sci, 4(2), pp.211~219 (2016)
  28. G. Senel, "A Comparative research on the definition of soft point", IJCA, 163(2), pp.1~4 (2017)
  29. G. Senel, "The parameterization reduction of soft point and its applications with soft matrix", IJCA, 164(1), pp.1~6 (2017)
  30. M. Shabir, "On soft topological spaces", Comput. Math. Appl, 61, pp.1786~1799 (2011)
  31. Anakh Singh, "Remarks on soft axioms", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 14(5), pp.503~513 (2017), 기초자연과학연구소[DOI]
  32. J. Subhashinin, "Soft P-connectedness via soft P-open sets", IJMTT, 6, pp.203~214 (2014)
  33. I. Zorlutuna, "Remarks on soft topological spaces", Ann. Fuzzy Math. Inform, 3(2), pp.171~185 (2012)

관련 논문AI추천

Seven generalized types of soft semi-compact spacesMohammed Abo-Elhamayel, Mohammed E. El-Shafei, Tareq Mohammed Al-shami강원경기수학회 · 한국수학논문집2019 · 제27권 제3호Soft somewhere dense sets on soft topological spacesTareq M. Al-shami대한수학회 · 대한수학회논문집2018 · 제33권 제4호Some new properties on soft topological spacesS. Saleh기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제17권 제3호On Soft Topological Space via Semiopen and Semiclosed Soft SetsJuthika Mahanta, Pramod Kumar Das경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제2호On some lower soft separation axioms허걸, S. Saleh기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제19권 제1호A Note on Bipolar Soft Supra Topological SpacesARZU ERDEM COŞKUN, ÇIĞDEM GÜNDÜZ ARAS, Sadi Bayramov한국수학교육학회 · 이론수학과 교직수학2023 · 제30권 제4호

이 간행물의 다른 논문 (6건)

Fuzzy soft upper and lower semi-continuous multifunctionsE. El-sanowsy, S. E. Abbas, A. Atefpp. 1-15Ordinary smooth filters김준희, 임평기, 허걸, 이정곤pp. 17-30$L$-fuzzy ideals in universal algebrasGezahagne Mulat Addis, Berhanu Assaye Alabapp. 31-39An adjustable approach to hesitant fuzzy soft multiset based decision making problemsC. M. Peter, H. M. Balami, I. A. Onyeozilipp. 41-57Some results on inequalities of intuitionistic fuzzy matricesS. Sriram, J. Boobalanpp. 59-64
원문 보기