the Weakly and Strongly Forms of Fibrewise Fuzzy ω-Topological Spaces
Abstract
This paper is devoted to introduce weak and strong forms of fibrewise fuzzy ω-topological spaces, namely the fibrewise fuzzy q-ω-topological spaces, weakly fibrewise fuzzy q-ω-topological spaces and strongly fibrewise fuzzy q-ω- topological spaces. Also, Several characterizations and properties of this class are also given as well. Finally, we focused on studying the relationship between weakly fibrewise fuzzy q-ω-topological spaces and strongly fibrewise fuzzy q-ω-topological spaces.
Downloads
References
M. A. Al-khafaji, On Separation Axioms Of Fuzzy Topological Spaces , Ph.D. Thesis , College of Education , Al-Mustansiriyah University, ( 2006).
G. S. Ashaea and Y. Y. Yousif, Some Type of Mapping in Bitopological Space Baghdad Science Journal, Volume 18, Issue 1, Pages 149-155, (2021).
G. S. Ashaea and Y. Y. Yousif, Weakly and Strongly Forms of ω-Perfect Mappings. Iraqi Journal of Science, Special Issue, pp: 45-55(2020).
K. K. Azad, On fuzzy semicontinuity, Fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl., 82 14-32(1981).
C. L. Chang, Fuzz topological spaces, Journal of Mathematical Analysis and Applications pp.182-190, 24 (1968).
M. A. Hussain and Y. Y. Yousif, Some Type of Fibrewise Fuzzy topological spaces International Journal Nonlinear Anal. Appl. (IJNAA), No. 2, 751-765, 12 (2021).
I. M. James, Fibrewise topology, Cambridge University Press, London (1989).
S. P. Lou, and S. H. Pan, “Fuzzy Structure”, J. Math. Analy. and Application, Vol.76, PP.631-642, (1980).
P. P. Ming, and L. Y. Mong, Fuzzy Topology I. Neighborhood Structure of a Fuzzy point and Moor-smith Convergence, J. Math. Anal. and Appl., Vol.76 PP.571-599(1980).
M. N. Mukherjee, and S. P. Sinha, On Some Near – Fuzzy Continuous Function Between Fuzzy Topological Spaces, J. Math. Anal. and Appl., Vol.34 PP. 245-254(1990).
C.V. Negoita, and D.A. Ralescu, Application of Fuzzy Sets to Systems Analysis, Basel, Stuttgart (1975).
J. H. Park, B. Y. Lee, and J. R. Choi, Fuzzy θ-Connectedness, J. Fuzzy Set and Systems, Vol.59, PP.237-244(1993).
X. Wang, D. Ruan and E. E. Kerre Mathematics of Fuzziness – Basic Issues Volume 245,pp.185-186(2009).
Y. Y. Yousif Fibrewise Fuzzy Topological Spaces Ibn Al Haitham Journal for Pure and Applied Science, Volume 34, No. 3, (2021).
Y. Y. Yousif and M. A. Hussain, Fibrewise Soft Near Separation Axioms, The 23th Science Conference of College of Education, Al-Mustansiriyah University, pp.400-414, 26-27 April (2017).
Y.Y. Yousif and B. Khalil, Feeble regular and feeble normal spaces in α-topological spaces using graph, Int. J. Nonlinear Anal. Issu. 2, 32 Vol. 12, 415-423(2021).
L. A. Zadeh, Fuzzy sets, Inform. Control 8, pp.338-353(1965).
H.Zougdani Covering Dimension of Fuzzy Spaces, Mat. Vesnik, 36,104- 118, (1984).
Copyright (c) 2023 mohmammed abde hussain
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright © Author(s) . This is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.