Volume 8 , Issue 2 , PP: 08-14, 2024 | Cite this article as | XML | Html | PDF | Full Length Article
Zahraa Hasan 1 * , Rama Asad Nadweh 2
Doi: https://doi.org/10.54216/JNFS.080201
The ring of weak fuzzy complex numbers is an extension of real numbers ring by using an algebraic element with fuzzy property. In this paper, we present two novel generalizations of weak fuzzy complex numbers, where the concepts of strong fuzzy complex numbers and split-complex weak fuzzy complex numbers will be defined for the first time with a general study of their elementary properties and special elements. On the other hand, we provide an algorithm to compute the dempotent elements in the ring of split-complex weak fuzzy complex numbers with many related examples that clarify the validity of our work.
weak fuzzy complex number , strong fuzzy complex number , split-complex weak fuzzy complex number , idempotent element
[1] Hatip, A., "An Introduction To Weak Fuzzy Complex Numbers ", Galoitica Journal Of , Vol. 03, No. https://doi.org/10.54216/GJMSA.030101Mathematical Structures and Applications, Doi: 01, PP. 08-13, 2023.
[2] Ali, R., "On The Weak Fuzzy Complex Inner Products On Weak Fuzzy Complex Vector Spaces", Neoma Journal Of Mathematics and Computer Science, 2023.
[3] Yaser Ahmad Alhasan, Abuobida Mohammed A. Alfahal, Raja Abdullah Abdulfatah Giorgio Nordo, Musaddak M. Abdul Zahra, "On Some Novel Results About Weak Fuzzy Complex Matrices” , 2023. https://doi.org/10.54216/IJNS.210112,DOI:
[4] Alhasan, Y., Xu, L., Abdulfatah, R., & Alfahal, A. (2023). The Geometrical Characterization for The Solutions of a Vectorial Equation By Using Weak Fuzzy Complex Numbers and Other Generalizations Of Real Numbers. International Journal of Neutrosophic Science (IJNS), Vol. 21, No. .https://doi.org/10.54216/IJNS.210415159. -04, PP. 155
Tarawneh, Ayman -Abdallah Shihadeh, Wael Mahmoud M. Salameh, Malik Bataineh, Hassan Al[5] Alahmade, Abdallah Al-Husban. (2024). On the Geometry of Weak Fuzzy Complex Numbers and Applications to the Classification of Some A-Curves. International Journal of Neutrosophic Science, 23 ).https://doi.org/10.54216/IJNS.230428 : Doi (375 -( 4 ), 369
[6] Mayada Abualhomos, Wael Mahmoud M. Salameh, Malik Bataineh, Mowafaq Omar Al-Qadri, Ayman Alahmade, Abdallah Al-Husban. (2024). An Effective Algorithm for Solving Weak Fuzzy Complex Diophantine Equations in Two Variables. International Journal of Neutrosophic Science, 23 ( ).https://doi.org/10.54216/IJNS.230431 : Doi (394 -4 ), 386
[7] Alfahal, A., Abobala, M., Alhasan, Y., & Abdulfatah, R. (2023). Generating Weak Fuzzy Complex . 2z= 2y+ 2xand Anti Weak Fuzzy Complex Integer Solutions for Pythagoras Diophantine Equation International Journal of Neutrosophic Science (IJNS), Vol. 22, No. 01, PP. 08-14. https://doi.org/10.54216/IJNS.220201
[8] Galarza, F., Flores, M., Rivero, D., & Abobala, M. (2023). On Weak Fuzzy Complex Pythagoras Quadruples. International Journal of Neutrosophic Science (IJNS), Vol. 22, No. 02, PP. 108-113. https://doi.org/10.54216/IJNS.220209
[9] Ahmed Hatip. (2023). On The Fuzzy Weak Complex Vector Spaces. Galoitica: Journal of Mathematical Structures and Applications, 3 ( 1 ), 29-32 (Doi : https://doi.org/10.54216/GJMSA.030105).
