@article{Khamis2023, 
author = {Adela Khamis and Abd Ghafur Ahmad},
title = {On fundamental algebraic characterizations of complex intuitionistic Q-fuzzy subfield},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {7032-7060},
keywords = {fuzzy subfield, Q-fuzzy set, Q-fuzzy subfield, complex Q-fuzzy set, complex intuitionistic Q-fuzzy set, complex intuitionistic Q-fuzzy subfield},
url = {https://www.sciopen.com/article/10.3934/math.2023355},
doi = {10.3934/math.2023355},
abstract = {The main objective of this study is to propose a new notion of a complex intuitionistic    Q-fuzzy subfield of a field    F that is developed from the concept of a complex fuzzy subfield of a field    F by adding the notion of intuitionistic    Q-fuzzy into a complex fuzzy subfield. We establish a new structure of complex fuzzy subfields which is called complex intuitionistic    Q-fuzzy subfield. The most significant advantage of this addition appears to be that it broadens the scope of the investigation from membership function values to membership and non-membership function values. The range of complex fuzzy subfields is expanded to the unit disc in the complex plane for both membership and non-membership functions. Some fundamental operations, especially the intersection, union, and complement of complex intuitionistic    Q-fuzzy subfields are studied. We define the necessity and possibility operators on a complex intuitionistic    Q-fuzzy subfield. Moreover, we show that each complex intuitionistic    Q-fuzzy subfield generates two intuitionistic    Q-fuzzy subfields. Subsequently, several related theorems are proven.}
}