A note on complex fuzzy subfield

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...

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Bibliographic Details
Main Authors: Gulzar, Muhammad (Author), Dilawar, Fareeha (Author), Alghazzawi, Dilshad (Author), Mateen, M. Haris (Author)
Other Authors: This work was funded by the Deanship of Scientific Research (DSR) (Contributor)
Format: EJournal Article
Published: Institute of Advanced Engineering and Science, 2021-02-01.
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Summary: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.
Item Description:https://ijeecs.iaescore.com/index.php/IJEECS/article/view/23364