1
Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Mataram, Mataram, 83125,Indonesia
(mamika@unram.ac.id)
2
Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Ahsa 31982, Saudi Arabia
(aalquran@kfu.edu.sa)
3
Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq; College of Engineering, National University of Science and Technology, Dhi Qar, Iraq
(ahatmo@spsp.edu.sa)
4
Academic Department, Saudi Petroleum Services Polytechnic,Dammam, Saudi Arabia
(Mohammad K. Tahat)
5
MEU Research Unit, Middle East University, Amman, 11831, Jordan; Applied Science Research Center, Applied Science Private University, Amman 11931, Jordan; College of Engineering, National University of Science and Technology, Dhi Qar, Iraq
(aalkhassawneh@kfu.edu.sa)
Abstract :
A field is a fundamental algebraic structure that finds extensive applications in algebra and various mathematical domains. On the other hand, a Q-complex neutrosophic soft set (Q-CNSS) is a unique hybrid model that combines the characteristics of soft sets and neutrosophic sets within a complex number framework. It utilizes the effectiveness of Q-set as a powerful tool in the domain of this particular model. In this article, we leverage this model to define fields under uncertainty. We present the Q-complex neutrosophic soft field (Q-CNSF) and examine the unique algebraic properties associated with this model. Additionally, we explore the relationships between Q-CNSF and Q-neutrosophic soft field (Q-NSF). Furthermore, we define the Cartesian product of QCNSFs and delve into the relevant properties. Through this comprehensive exploration, our aim is to enhance the understanding of Q-CNSFs and their properties, ultimately contributing to the field of algebraic analysis and its practical applications in handling uncertainty and vagueness.
Keywords :
Complex neutrosophic soft set; Q-complex neutrosophic soft set; Q-neutrosophic soft field; Qneutrosophic soft set.
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| Style | # |
|---|---|
| MLA | Mamika Ujianita Romdhini, Ashraf Al-Quran, Faisal Al-Sharqi, Mohammad K. Tahat, Abdalwali Lutfi. "Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields." International Journal of Neutrosophic Science, Vol. 22, No. 4, 2023 ,PP. 93-105 (Doi : https://doi.org/10.54216/IJNS.220408) |
| APA | Mamika Ujianita Romdhini, Ashraf Al-Quran, Faisal Al-Sharqi, Mohammad K. Tahat, Abdalwali Lutfi. (2023). Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields. Journal of International Journal of Neutrosophic Science, 22 ( 4 ), 93-105 (Doi : https://doi.org/10.54216/IJNS.220408) |
| Chicago | Mamika Ujianita Romdhini, Ashraf Al-Quran, Faisal Al-Sharqi, Mohammad K. Tahat, Abdalwali Lutfi. "Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields." Journal of International Journal of Neutrosophic Science, 22 no. 4 (2023): 93-105 (Doi : https://doi.org/10.54216/IJNS.220408) |
| Harvard | Mamika Ujianita Romdhini, Ashraf Al-Quran, Faisal Al-Sharqi, Mohammad K. Tahat, Abdalwali Lutfi. (2023). Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields. Journal of International Journal of Neutrosophic Science, 22 ( 4 ), 93-105 (Doi : https://doi.org/10.54216/IJNS.220408) |
| Vancouver | Mamika Ujianita Romdhini, Ashraf Al-Quran, Faisal Al-Sharqi, Mohammad K. Tahat, Abdalwali Lutfi. Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields. Journal of International Journal of Neutrosophic Science, (2023); 22 ( 4 ): 93-105 (Doi : https://doi.org/10.54216/IJNS.220408) |
| IEEE | Mamika Ujianita Romdhini, Ashraf Al-Quran, Faisal Al-Sharqi, Mohammad K. Tahat, Abdalwali Lutfi, Exploring the Algebraic Structures of Q-Complex Neutrosophic Soft Fields, Journal of International Journal of Neutrosophic Science, Vol. 22 , No. 4 , (2023) : 93-105 (Doi : https://doi.org/10.54216/IJNS.220408) |