A note on complex fuzzy subfield

Muhammad Gulzar (Government College Women University Faisalabad)
Fareeha Dilawar (Government College Women University Faisalabad)
Dilshad Alghazzawi (King Abdulaziz University)
M. Haris Mateen (University of the Punjab)

Indonesian Journal of Electrical Engineering and Computer Science
Vol 21, No 2: February 2021

In this paper, we introduce idea of complex fuzzy subfield and discuss its various algebraic aspects. We prove that every complex fuzzy subfield generate two fuzzy fields and shows that intersection of two complex fuzzy subfields is also complex fuzzy subfields. We also present the concept of level subsets of complex fuzzy subfield and shows that level subset of complex fuzzy subfield form subfield.  Furthermore, we extend this idea to define the notion of the direct product of two complex fuzzy subfields and also investigate the homomorphic image and inverse image of complex fuzzy subfield.