본문 바로가기
KERD
논문KCI 등재

Some remarks on fuzzy open hereditarily irresolvable spaces

G. Thangaraj|L. Vikraman
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2024.04|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제27권 제2호|pp. 135-147|DOI 10.30948/afmi.2024.27.2.135

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Fuzzy somewhere dense setFuzzy simply$^*$-open setFuzzy B$^*$-setFuzzy quasi-submaximal spaceWeak fuzzy $O_{z}$-spaceFuzzy nodec spaceFuzzy weakly Baire spaceFuzzy GID spaceFuzzy semi-P-space

초록

In this paper, the notion of fuzzy open hereditarily irresolvability of fuzzy topological spaces is characterized by means of fuzzy simply$^{\ast}$-open sets, fuzzy B$^{\ast}$-sets and fuzzy pre-open sets possessing fuzzy Baire property. A condition for fuzzy open hereditarily irresolvable spaces to become fuzzy quasi-submaximal spaces is obtained. Also conditions under which fuzzy D-Baire spaces and fuzzy semi-P-spaces become fuzzy open hereditarily irresolvable spaces are obtained. A condition under which fuzzy open hereditarily irresolvability coincides with fuzzy strong irresolvability of fuzzy topological spaces is obtained.

Abstract

In this paper, the notion of fuzzy open hereditarily irresolvability of fuzzy topological spaces is characterized by means of fuzzy simply$^{\ast}$-open sets, fuzzy B$^{\ast}$-sets and fuzzy pre-open sets possessing fuzzy Baire property. A condition for fuzzy open hereditarily irresolvable spaces to become fuzzy quasi-submaximal spaces is obtained. Also conditions under which fuzzy D-Baire spaces and fuzzy semi-P-spaces become fuzzy open hereditarily irresolvable spaces are obtained. A condition under which fuzzy open hereditarily irresolvability coincides with fuzzy strong irresolvability of fuzzy topological spaces is obtained.

참고문헌 (41)

  1. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)
  2. C. L. Chang, "Fuzzy topological spaces", J. Math. Anal. Appl, 24, pp.182~190 (1968)
  3. E. Hewitt, "A problem of set-theoretic topology", DukeMath. J, 10(2), pp.309~333 (1943)
  4. N. S, "1947", 63(1)
  5. A. G. El’Kin, "Ultrafilters and undecomposable spaces", Vestnik Mosk. Univ. Math, 24(5), pp.51~56 (1969)
  6. G. Thangaraj, "On fuzzy resolvable and fuzzy irresolvable spaces", Fuzzy Sets, Rough Sets and Multi- valued Operations and Applications, 1(2), pp.173~180 (2009)
  7. G. Thangaraj, "On fuzzy simply∗ continuous functions", Adv. Fuzzy Math, 11(2), pp.245~264 (2016)
  8. G. Thangaraj, "On Fuzzy B∗ Sets", Bull. Inter. Math. Virtual Inst, 9, pp.197~205 (2019)
  9. G. S¸enel, "Advanced Soft Relation and Soft Mapping", Inter.Journal of Computational Intelligence Systems, 14(1), pp.461~470 (2021)[DOI]
  10. G. S¸enel, "A new approachto Hausdorff space theory via the soft sets", Mathematical Problems in Engineering, 9, pp.1~6 (2016)[DOI]
  11. G. S¸enel, "Soft topological subspaces", Annl. Fuzzy Math. Inform, 10(4), pp.525~535 (2015)
  12. G. S¸enel, "Soft closed sets on soft bitopological space", Journal of New Results in Science, 3(5), pp.57~66 (2014)
  13. G. S¸enel, "Distanceand similarity measures for octahedron sets and their applicationto MCGDM problems", Mathematics, 8(10), pp.1690~ (2020)[DOI]
  14. J. G. Lee, "Octahedron sets", Ann. Fuzzy Math. Inform, 19(3), pp.211~238 (2020)
  15. J. G Lee, "Neighborhood structures and continuities via cubic Sets", Axioms, 11, pp.406~ (2022)[DOI]
  16. K. K. Azad, "On fuzzy semi continuity, fuzzy almost continuity and fuzzy weakly continuity", J. Math. Anal. Appl, 82, pp.14~32 (1981)
  17. A. S. Bin Shahna, "On fuzzy strong semicontinuity and fuzzy precontinuity", Fuzzy Sets and Systems, 44, pp.303~308 (1991)
  18. G. Balasubramanian, "On fuzzy β-compact spaces and fuzzy β-extremally Disconnected Spaces", Kybernetika, 33(3), pp.271~277 (1997)
  19. G. Balasubramanian, "Maximal fuzzy topologies", Kybernetika, 31(5), pp.459~464 (1995)
  20. G. Thangaraj, "On somewhat fuzzy continuous functions", J. Fuzzy Math., 11(2), pp.725~736 (2003)
  21. G. Thangaraj, "On fuzzy Baire spaces", J. Fuzzy Math, 21(3), pp.667~676 (2013)
  22. G. Thangaraj, "On fuzzy simply continuous functions", J. Fuzzy Math, 25(1), pp.99~124 (2017)
  23. G. Thangaraj, "On somewhere fuzzy continuous Functions", Ann. Fuzzy Math. Inform, 15(2), pp.181~198 (2018)
  24. G. Thangaraj, "On fuzzy Pseudo-continuous functions", IOSR J.Math, 13(5), pp.12~20 (2017)
  25. G. Thangaraj, "On fuzzy weakly Baire spaces", Bull. Inter. Math. Virtual Inst, 7, pp.479~489 (2017)
  26. G. Thangaraj, "On fuzzy sets having the fuzzy Baire property in fuzzy topological spaces", Ann. Fuzzy Math. Inform, 21(2), pp.147~160 (2021)
  27. G. Thangaraj, "Fuzzy strongly irresolvable spaces and fuzzy simply open sets", Adv. Fuzzy Sets & Sys, 27(1), pp.1~34 (2022)
  28. G. Thangaraj, "On fuzzy globally disconnected spaces", Jour. Tripura Math. Soc, 21, pp.37~46 (2019)
  29. G. Thangaraj, "Some remarks on fuzzy Baire spaces", Scientia Magna, 9(1), pp.1~6 (2013)
  30. G. Thangaraj, "On fuzzy DGδ spaces", Adv. Fuzzy Math, 14(1), pp.27~40 (2019)
  31. G. Thangaraj, "On fuzzy submaximal and quasi-submaximal spaces", Adv. Appl. Math. Sci, 22(2), pp.633~658 (2022)
  32. G. Thangaraj, "On fuzzy D-Baire spaces", Ann. Fuzzy Math. Inform, 7(1), pp.99~108 (2014)
  33. G. Thangaraj, "On fuzzy Oz-spaces", Adv. Appl. Math. Sci, 22(7), pp.1517~1547 (2023)
  34. G. Thangaraj, "On fuzzy P-spaces, weak fuzzy P-spaces and fuzzy almost P-spaces", Gen. Math. Notes, 18(2), pp.128~139 (2013)
  35. G. Thangaraj, "On fuzzy semi-P-spaces and related concepts", Pure &Appl. Math. Jour, 11(1), pp.20~27 (2022)
  36. G. Thangaraj, "On fuzzy GID spaces", Ann. Fuzzy Math. Inform, 10(4), pp.571~581 (2015)
  37. G. Thangaraj, "Fuzzy ultra connected spaces", Adv. Dynamical Sys. Appl, 18(1), pp.69~86 (2023)
  38. Miguel Caldas, "On fuzzy weakly semi-open functions", Proyecciones, 21(1), pp.51~63 (2002)
  39. G. Thangaraj, "A note on fuzzy perfectly disconnected spaces", Adv. Fuzzy Math, 13(1), pp.59~70 (2018)
  40. G. Thangaraj, "A note on fuzzy B∗ sets", Global J. Pure and Appl. Math, 14(8), pp.1029~1039 (2018)
  41. G. Thangaraj, "A short note on fuzzy residual sets and fuzzy functions", Inter. Jour. Adv. Math, 2017(2), pp.1~9 (2017)

관련 논문AI추천

Some remarks on fuzzy strongly irresolvable spacesD. Vijayan, G. Thangaraj기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제17권 제2호On fuzzy sets having the fuzzy Baire property in fuzzy topological spacesG. Thangaraj, N. Raji기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제21권 제2호On fuzzy maximal spacesG. Thangaraj, S. Lokeshwari기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제19권 제3호On fuzzy strongly semiregular spacesG. Thangaraj, M. Ponnusamy기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2023 · 제26권 제3호Some remarks on fuzzy Baire setsG. Thangaraj, N. Raji기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2023 · 제26권 제2호Fuzzy extraresolvable spacesD. Vijayan, G. Thangaraj기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2025 · 제29권 제1호

이 간행물의 다른 논문 (6건)

$(3,3,\sqrt[3]{\cdot})$-picture fuzzy structures of a $BCC$-ideal of $BCC$-algebras and their correlation coefficientKul Hur, D. L. Shi, Amany M. Menshawy, Ola W. Abd El-Baseer, Samy M. Mostafapp. 103-119Fuzzy (soft) tri-quasi ideals of $\Gamma$-semiringsRajendra Kumar Kona, Noorbhasha Rafi, Marapureddy Murali Krishna Raopp. 121-134On some strong irresolute functions defined by betaopen setsAli H. Kocamanpp. 149-157More on neutrosophic Lie subalgebraS. Jafari, N. Rajesh, S. R. Vidhya, A. Pigazzinipp. 159-168Power aggregation operators on trapezoidal fuzzy multi-numbers and their applications to a zero-waste problemDavut Kesen, Nuh Okumuspp. 169-189
원문 보기