On Fuzzy Feebly Compact Space
DOI:
https://doi.org/10.31185/wjps.654Keywords:
fuzzy feebly compact space, feebly open , feebly closed and feebly neighborhood.Abstract
The object of this work to introduce a new form of fuzzy compact space in a fuzzy topological space, named by fuzzy feebly compact space. It is stronger than a fuzzy compact space. We investigated the properties of fuzzy feebly compact in a fuzzy topological space. Important mathematical concepts were relied upon to prove the properties of fuzzy feebly compact such as the net, the sub net, the filter and the finite intersection property. The concept of fuzzy feebly density and its dependence in feebly compact space has also been introduced. Finally, the subspace of fuzzy feebly space was discussed.
References
L. A. Zadeh, “fuzzy sets,” Information and control, 8(1965), 338-353.
C. L. Chang, “Fuzzy topological spaces,”J. Math. Anal. Appl, 24(1968), 182-190.
Maheshwari S.N & Tapi U. Feebly open sets . Ann ,Univ . Timisoaras. (1978).
Lee , Je –Yoon C. and Gyu – Ihn , “A Fuzzy Feebly open set in fuzzy Topological spaces” uou Report , vol. 17 , No. 1 , pp. 139-142, 1986.
M. H. Rashid and D. M. Ali, “Separation axioms in maxed fuzzy topological spaces,” Bangladesh, J. Acad. Sci, 32(2), 211-220, (2008).
Kareem, H, Reyadh, N "Fuzzy Compact and Coercive Mappings ", Journal of Karbala University, 10(3),2012, 111-121.
Rubasri.M and Palanisamy.M, "On fuzzy pre- α -open sets and fuzzy contrapre- α - continuous functions in fuzzy topological space",
IJARIIE-ISSN (O)-2395-4396,vol-3 Issue-4 ,PP.1601-1608, 2017.
Lee, Je-yoon,Gyu-Ihn "A Fuzzy feebly open set in fuzzy topological spaces" ,uou Report Vol. 17.No.1.pp.139-142.1986.
S. M. Jaber, “Fuzzy pre compact space,” J.Phys.:Conf . Ser. 1591012073. DoT 10.1088/1742-6596/1591/1/012073.(2020).
Anjana Bhattacharyya, “p^*-Closure Operator and p^*-Regularity in Fuzzy Setting,” Mathematica Moravica.Vol. 19-1 (2015), 131–139.
Khalaf, Bushra Zeidan. "On Structure Fuzzy Fibration." Wasit Journal for Pure sciences 3.1 (2024): 33-37.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Saad Mahdi Jaber
This work is licensed under a Creative Commons Attribution 4.0 International License.
