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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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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042 |a dc 
100 1 0 |a Gulzar, Muhammad  |e author 
100 1 0 |a This work was funded by the Deanship of Scientific Research   |q  (DSR)   |e contributor 
700 1 0 |a Dilawar, Fareeha  |e author 
700 1 0 |a Alghazzawi, Dilshad  |e author 
700 1 0 |a Mateen, M. Haris  |e author 
245 0 0 |a A note on complex fuzzy subfield 
260 |b Institute of Advanced Engineering and Science,   |c 2021-02-01. 
500 |a https://ijeecs.iaescore.com/index.php/IJEECS/article/view/23364 
520 |a 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. 
540 |a Copyright (c) 2021 Institute of Advanced Engineering and Science 
540 |a http://creativecommons.org/licenses/by-nc/4.0 
546 |a eng 
690 |a Mathematics : Fuzzy mathematics 
690 |a Complex fuzz set; Complex fuzzy subfield; Fuzzy set 
655 7 |a info:eu-repo/semantics/article  |2 local 
655 7 |a info:eu-repo/semantics/publishedVersion  |2 local 
655 7 |2 local 
786 0 |n Indonesian Journal of Electrical Engineering and Computer Science; Vol 21, No 2: February 2021; 1048-1056 
786 0 |n 2502-4760 
786 0 |n 2502-4752 
786 0 |n 10.11591/ijeecs.v21.i2 
787 0 |n https://ijeecs.iaescore.com/index.php/IJEECS/article/view/23364/14635 
856 4 1 |u https://ijeecs.iaescore.com/index.php/IJEECS/article/view/23364/14635  |z Get fulltext