Continuity in fuzzy bitopological ordered spaces

• Dhar, Runu ^[1]
  1. [1] Maharaja Bir Bikram Univesity.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 3, 2021 (Ejemplar dedicado a: In progress (June 2021). This issue is in progress. Contains articles that are final and fully citable.), págs. 681-696
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-4386
• Enlaces
  • Texto completo
• Resumen

  • The aim of the present paper is to introduce and study different forms of continuity in fuzzy bitopological ordered spaces. The concepts of different mappings such as pairwise fuzzy I -continuous mappings, pairwise fuzzy D -continuous mappings, pairwise fuzzy B -continuous mappings, pairwise fuzzy I -open mappings, pairwise fuzzy D -open mappings, pairwise fuzzy B -open mappings, pairwise fuzzy I -closed mappings, pairwise fuzzy D -closed mappings and pairwise fuzzy B -closed mappings have been introduced. Some of the basic properties and characterization theorems of these mappings have been investigated.

• Referencias bibliográficas
  • M. Y. Bakier and A. F. Sayed, “Some weaker forms of continuity in bitopological ordered spaces”, International journal of advances in mathematics,...
  • C. L. Chang, “Fuzzy topological spaces”, Journal of mathematical analysis and applications, vol. 24, no.1, pp. 182-190, 1968, doi: 10.1016/0022-247X(68)90057-7
  • R. Dhar, “Some pairwise weakly fuzzy mappings”, Proyecciones (Antofagasta, On line), vol. 38, no. 4, pp. 707-717, 2019, doi: 10.22199/issn.0717-6279-2019-04-0046
  • A. Kandil, “On Biproximities and fuzzy bitopological spaces”, Simon Stevin, vol. 63, pp. 45-66, 1989.
  • J. C. Kelly, “Bitopological spaces”, Proceeding London Mathematics Society, vol. s3-13, no. 1, pp. 71-89, 1963, doi: 10.1112/plms/s3-13.1.71
  • A. K. Katsaras, “Ordered fuzzy topological spaces”, Journal mathematical analysis applications, vol. 84, no. 1, pp. 44-58, 1981, doi: 10.1016/0022-247X(81)90150-5
  • S. S. Kumar, “On fuzzy pairwise α-continuity and fuzzy pairwise pre-continuity”, Fuzzy sets and systems, vol. 62, no. 2, pp. 231-238, 1994....
  • S. S. Kumar, “Semi-open sets, semi-continuity and semi-open mappings in fuzzy bitopological spaces”, Fuzzy sets and systems, vol. 64, no....
  • M. K. Singal and A. R. Singal, “Bitopological ordered spaces”, Mathematical student, vol. 39, no. 5, pp. 440-447, 1971.
  • L. Zadeh, “Fuzzy sets”, Information and control, vol. 8, no. 3, pp. 338-353, 1965, doi: 10.1016/S0019-9958(65)90241-X