Volume 22 , Issue 4 , PP: 121-126, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Hassan A. Al-Hadi Ahmed 1 *
Doi: https://doi.org/10.54216/IJNS.220411
This paper introduces a broadened concept of fuzzy semi-open sets by framing them in the context of fuzzy ideals. Where many of their elementary properties will be presented in terms of theorems and lemmas. Also, many related examples about the validity of semi-open sets and their relationships with fuzzy ideals will be provided and discussed.
Fuzzy Semi-open sets , fuzzy Semi-closed sets , fuzzy Generalized closed sets , fuzzy Ideals
[1] C. L. Chang: Fuzzy Topological Spaces. Journal of Mathematical Analysis and Applications 24 (1968), 182-190.
[2] L. A. Zadeh: Fuzzy Sets. Information and Control 8 (1965),3, 338 – 353.
[3] C. V. Negoita, D. A. Ralescu: Applications of Fuzzy Sets to System Analysis, John Wiley and Sons, New York 1975.
[4] L. A. Gusev , I. M. Smirnova: Fuzzy Sets. Theory and Applications (Survey). Automation and Remote Control (1973), 5, 739-755.
[5] M. Parimala,M. Karthika,Florentin Smarandache,Said Broumi, On αω-closed sets and its connectedness in terms of neutrosophic topological spaces, International Journal of Neutrosophic Science, Vol. 2 , No. 2 , (2020) : 82-88 (Doi : https://doi.org/10.54216/IJNS.020204)
[6] R . Lowen , Fuzzy topological spaces , J. Math. Anal. Appl. 56 (1976) , 621 – 633
[7] Zheng Chang – You , On connectedness of fuzzy topological spaces , J . Fuzzy Math . 3 (1992) ,59–66 .
[8] X. Zhao: Connectedness on fuzzy topological spaces. Fuzzy Sets Syst. 20 (1986) ,223–240.
[9] Ibrahim Najem, Tabarak Ali Abdulhussein, M. H. Ali, Asaad Shakir Hameed, Inas Ridha Ali, M. altaee, Fuzzy-Based Clustering for Larger-Scale Deep Learning in Autonomous Systems Based on Fusion Data, Journal of Intelligent Systems and Internet of Things, Vol. 9 , No. 1 , (2023) : 69-83 (Doi : https://doi.org/10.54216/JISIoT.090105)
[10] Mohammed Abdul J. Maktoof,Anwar Ja’afar M. Jawad,Hasan M. Abd,Ahmed Husain,Ali Majdi, Using a Fuzzy Logic Integrated Machine Learning Algorithm for Information Fusion in Smart Parking, Fusion: Practice and Applications, Vol. 11 , No. 1 , (2023) : 114-128 (Doi : https://doi.org/10.54216/FPA.110109)
[11] Nadweh, R., " On the Fusion of Neural Networks and Fuzzy Logic, Membership Functions and Weights", Galoitica Journal Of Mathematical Structures and Applications, Vol 7, 2023.
[12] Ahmed Abdelhafeez, Hoda K. Mohamed, Skin Cancer Detection using Neutrosophic c-means and Fuzzy c-means Clustering Algorithms, Journal of Intelligent Systems and Internet of Things, Vol. 8 , No. 1 , (2023) : 33-42 (Doi : https://doi.org/10.54216/JISIoT.080103)
[13] Shahad salh Ali, Jamila Harbi Al’Ameri, Thekra Abbas, Real Time E-learning Students Monitoring for Optimization Facial Landmark Recognition Based on Hybrid Deep Learning Techniques, Journal of Intelligent Systems and Internet of Things, Vol. 10 , No. 2 , (2023) : 102-112 (Doi : https://doi.org/10.54216/JISIoT.100209)
