본문 바로가기
KERD
논문KCI 등재

Double fuzzy rarely continuous functions

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

초록

In this paper, we define fuzzy rare set, fuzzy dense set and fuzzy rarely continuous functions in double fuzzy topological spaces. We will explore several interesting properties and characterizations of these newly defined notions.

Abstract

In this paper, we define fuzzy rare set, fuzzy dense set and fuzzy rarely continuous functions in double fuzzy topological spaces. We will explore several interesting properties and characterizations of these newly defined notions.

참고문헌 (37)

  1. L. A. Zadeh, "Fuzzy sets", Information and Control, 8(3), pp.338~353 (1965)
  2. C. L. Chang, "Fuzzy topological spaces", J. Math. Anal. Appl, 24(1), pp.182~190 (1968)
  3. K. Atanassov, "New operators defined over the intuitionistic fuzzy sets", Fuzzy Sets and Sysetms, 61(2), pp.137~142 (1993)
  4. A. P. Sostak, "On a fuzzy topological structure", Suppl. Rend. Circ. Matem. Palermo-Sir II, 11, pp.89~103 (1985)
  5. T. Kubiak, "On Fuzzy Topologies", Ph.D, pp.1985
  6. A. P. Sostak, "Basic structure of fuzzy topology", J. Math. Sci, 78, pp.662~701 (1996)
  7. D. C oker, "An introduction to intuitionistic topological spaces", J. Fuzzy Math, 4, pp.749~764 (1996)
  8. D. C oker, "An introduction to intuitionistic fuzzy topological spaces", Fuzzy Sets and Systems, 88(1), pp.81~89 (1997)
  9. S. K. Samanta, "On intuitionistic gradation of openness", Fuzzy Sets and Systems, 131(3), pp.323~336 (2002)
  10. 이정곤, "Octahedron sets", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 19(3), pp.211~238 (2020), 기초자연과학연구소[DOI]
  11. Ayhan Esi, "λ-ideal convergence in intuitionistic fuzzy 2-normed linear space", Journal of Intelligent & Fuzzy Systems, 24(4), pp.725~732 (2013), IOS Press[DOI]
  12. B. Hazarika, "Generalized ideal limit point and cluster point of double sequences in intuitionitic fuzzy 2-normed linear spaces", Ann. Fuzzy Math. Inform, 9(6), pp.941~955 (2015)
  13. V. A. Khan, "On paranorm intutionistic fuzzy Iconvergence sequence spaces defined by compact operator", Int. Jour. of Adv. and Appl. Sci, 4(5), pp.138~143 (2017)
  14. J. G. Lee, "Neighborhood structures and continuities via cubic sets", Axioms, 11, pp.406~ (2022)
  15. G. Senel, "Soft closed sets on soft bitopological space", Journal of New Results in Science, 3(5), pp.57~66 (2014)
  16. G. Senel, "Soft topological subspaces", Ann. Fuzzy Math. Inform, 10(4), pp.525~535 (2015)
  17. G. Senel, "A new approach to Hausdorff space theory via the soft sets", Mathematical Problems in Engineering, 9, pp.1~6 (2016)[DOI]
  18. G. Senel, "Soft topology generated by L-soft sets", Journal of New Theory, 4(24), pp.88~100 (2018)
  19. G. Senel, "Distance and similarity measures for octahedron sets and their application to MCGDM problems", Mathematics, 8, pp.1690~ (2020)
  20. J. G. Garcia, "Order-theoretic, topological, categorical re-dundancies of interval-valued sets, grey sets, vague sets, interval-valued; intuitionistic sets, intuitionistic fuzzy sets and topologies", Fuzzy Sets and Systems, 156(3), pp.445~484 (2005)
  21. M. Azab Abd-Allah, "(r, s)-Fuzzy F-open sets and (r, s)-fuzzy F-closed spaces", Chaos, Solitons and Fractals, 42, pp.649~656 (2009)
  22. F. M. Mohammed, "Generalized b-closed and generalized-fuzzy b-open sets in double fuzzy topological spaces", Egyptian Journal of Basic and Applied Science, 3, pp.61~67 (2016)
  23. F. M. Mohammed, "Somewhat slightly generalized double fuzzy semicontinuous functions", International Journal of Mathematics and Mathematical Sciences, 2014, pp.7~ (2014)
  24. F. M. Mohammed, "New notions from (r, s)-generalised fuzzy preopen sets", Gazi University Journal of Science, 30(1), pp.311~331 (2017)
  25. A. Ghareeb, "Normality of double fuzzy topological spaces", Applied mathematics letters, 24(4), pp.533~540 (2011)
  26. A. Ghareeb, "Weak forms of continuity in I-double gradation fuzzy topological spaces", pp.1~19 (2012), Springer Plus
  27. E. K. El-Saady, "Several types of (r, s)-fuzzy compactness defined by an (r, s)-fuzzy regular semi open sets", Ann. Fuzzy math. inform, 3(1), pp.159~169 (2012)
  28. E. P. Lee, "Semiopen sets on intuitionistic fuzzy topological spaces in SostakOCOs sense", J. Fuzzy Logic and Intelligent Systems, 14, pp.234~238 (2004)
  29. 이승온, "fuzzy(r)-preopen sets", International Journal of Fuzzy Logic and Intelligent systems, 5(2), pp.136~139 (2005), 한국지능시스템학회
  30. 이은표, "Fuzzy strongly (r,s)-semiopen sets", International Journal of Fuzzy Logic and Intelligent systems, 6(4), pp.299~303 (2006), 한국지능시스템학회
  31. 이석종, "Fuzzy (r; s)-irresolute maps", International Journal of Fuzzy Logic and Intelligent systems, 7(1), pp.49~57 (2007), 한국지능시스템학회
  32. A. M. Zahran, "Several types of double fuzzy irresolute functions", International journal of computational cognition, 8(2), pp.19~23 (2010)
  33. J. Praba, "Studies on generalization of sets and maps in smooth topological and double fuzzy topological spaces, PhD. thesis, July 2020, Department of Mathematics, Kandaswami Kandar’s College, Tamilnadu, India", International Journal of Mathematics and Mathematical Sciences, 2014, pp.7~ (2014)
  34. S. Bamini, "Some generalizations of sets and maps in smooth, double fuzzy and nano topological spaces", PhD, Department of Mathematics, pp.2020
  35. E. P. Lee, "Mated fuzzy topological spaces", Journal of fuzzy logic and intelligent systems, 11, pp.161~165 (2001)
  36. M. Demirci, "An introduction to intuitionistic fuzzy topological spaces in Sostak’s sense", BUSEFAL, 67, pp.67~76 (1996)
  37. S. Jafari, "Double fuzzy weakly continuous multifunctions", Analele Universit ˇatii Oradea, Fasc. Matematica, XXIX(2), pp.37~45 (2022)

관련 논문AI추천

이 간행물의 다른 논문 (5건)