본문 바로가기
KERD
논문KCI 등재

On fuzzy maximal spaces

G. Thangaraj|S. Lokeshwari
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2020.06|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제19권 제3호|pp. 281-293|DOI 10.30948/afmi.2020.19.3.281

1

조회

0

다운로드

1

인용

0

참고문헌

키워드

Fuzzy nowhere dense setFuzzy dense setFuzzy simply* open setFuzzy nodec spaceFuzzy Baire setFuzzy irresolvable spacefuzzy globally disconnected space

초록

In this paper, a new class of topological spaces, called maximal spaces, is introduced by means of fuzzy submaximality and fuzzy extremally disconnectedness of fuzzy topological spaces. Several characterizations of fuzzy maximal spaces are established. It is established that fuzzy maximal spaces, are fuzzy nodec spaces and fuzzy irresolvable spaces and fuzzy maximal spaces are neither fuzzy Baire spaces nor fuzzy $\beta$-Baire spaces.

Abstract

In this paper, a new class of topological spaces, called maximal spaces, is introduced by means of fuzzy submaximality and fuzzy extremally disconnectedness of fuzzy topological spaces. Several characterizations of fuzzy maximal spaces are established. It is established that fuzzy maximal spaces, are fuzzy nodec spaces and fuzzy irresolvable spaces and fuzzy maximal spaces are neither fuzzy Baire spaces nor fuzzy $\beta$-Baire spaces.

참고문헌 (24)

  1. A. V. Arhangel`skii, "On submaximal spaces", Topol. Appl, 64, pp.219~241 (1995)
  2. K. K. Azad, "On fuzzy semi continuity, fuzzy almost continuity and fuzzy weakly contiunity", J. Math. Anal. Appl., 52, pp.14~32 (1981)
  3. G. Balasubramanian, "On extensions of fuzzy topologies", Kybernetika, 28(3), pp.239~244 (1992)
  4. G. Balasubramanian, "Maximal fuzzy topologies", Kybernetika, 31(5), pp.459~464 (1995)
  5. G. Balasubramanian, "Fuzzy β-open sets and β-separation axioms", Kybernetika, 35(2), pp.215~223 (1999)
  6. N. Bourbaki, "Topologie generale" (1961)
  7. C. L. Chang, "Fuzzy topological spaces", J. Math. Anal, 24, pp.182~190 (1968)
  8. B. Ghosh, "Fuzzy extremally disconnected spaces", Fuzzy Sets and Sys, 46, pp.245~250 (1992)
  9. L. Gillman, "Rings of continuous functions" (1960), Univ. Series in Higher Math. Van Nostrand
  10. G. Thangaraj, "On fuzzy basically disconnected spaces", J. Fuzzy Math, 9(1), pp.103~110 (2001)
  11. G. Thangaraj, "On somewhat fuzzy continuous functions", J. Fuzzy Math, 11(2), pp.725~736 (2003)
  12. G. Thangaraj, "On fuzzy resolvable and fuzzy irresolvable spaces", Fuzzy Sets, Rough Sets and Multivalued Operations and Appl, 1(2), pp.173~180 (2009)
  13. G. Thangaraj, "On fuzzy Baire spaces", J. Fuzzy Math, 21(3), pp.667~676 (2013)
  14. G. Thangaraj, "On fuzzy σ-Baire spaces", Int. J. Fuzzy Math. Sys, 3(4), pp.275~283 (2013)
  15. G. Thangaraj, "On fuzzy Baire sets", J. Manag. Sci. and Humanities, 4(2), pp.151~158 (2017)
  16. G. Thangaraj, "Fuzzy β-Baire spaces", J. Fuzzy Math, 26(1), pp.51~68 (2018)
  17. G. Thangaraj, "On fuzzy sets with fuzzy Baire property", Inter. J. Adv. Math, 2018(4), pp.51~56 (2018)
  18. G. Thangaraj, "On fuzzy simply* continuous functions", Inter. Jour. Advances in Math, 2017(5), pp.12~21 (2017)
  19. G. Thangaraj, "Fuzzy irresolvable sets and fuzzy open hereditarily irresolvable spaces", Bull. Pure and Appl. Sci, 38(1), pp.369~377 (2019)
  20. G. Thangaraj, "0n fuzzy globally disconnected spaces", J. Tri. Math. Soc, 21, pp.37~46 (2019)
  21. G. Thangaraj, "0n fuzzy perfectly disconnected spaces", Inter. J. of Advances in Math, 2017(5), pp.12~21 (2017)
  22. G. Thangaraj, "On somewhere fuzzy continuous functions", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 15(2), pp.181~198 (2018), 기초자연과학연구소[DOI]
  23. G. Thangaraj, "Resolvability and irresolvability in fuzzy topological spaces", News Bull. Cal. Math. Soc, 31(4-6), pp.11~14 (2008)
  24. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

관련 논문AI추천

Fuzzy hereditarily extremally disconnected spacesG. Thangaraj, J. Premkumar기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제24권 제3호Some remarks on fuzzy open hereditarily irresolvable spacesG. Thangaraj, L. Vikraman기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제27권 제2호Fuzzy extraresolvable spacesD. Vijayan, G. Thangaraj기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2025 · 제29권 제1호On pairwise fuzzy almost P-spacesE. Roseline Gladis, G. Thangaraj기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제23권 제2호On fuzzy Moscow spacesA. Vinothkumar, G. Thangaraj기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제23권 제3호On fuzzy strongly semiregular spacesG. Thangaraj, M. Ponnusamy기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2023 · 제26권 제3호

이 간행물의 다른 논문 (4건)

Octahedron sets이정곤, 김준희, G. Senel, 허걸, 임평기pp. 211-238On balance of uncertainty in shadowed setsM. A. Ibrahim, D. Singh, T. O. William-West, A. F. D. Kanapp. 239-274Fuzzy soft symmetric operatorsH. H. Sakr, M. S. S. Ali, N. Fariedpp. 275-280Families of fuzzy and crisp languages defined by identitiesMagnus Steinbypp. 295-313
원문 보기