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All Journal Indonesian Journal of Electrical Engineering and Computer Science
Dilshad Alghazzawi
King Abdulaziz University

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A note on complex fuzzy subfield Muhammad Gulzar; Fareeha Dilawar; Dilshad Alghazzawi; M. Haris Mateen
Indonesian Journal of Electrical Engineering and Computer Science Vol 21, No 2: February 2021
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijeecs.v21.i2.pp1048-1056

Abstract

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.
Certain properties of ω-Q-fuzzy subrings Dilshad Alghazzawi; Wafaa H. Hanoon; Muhammad Gulzar; Ghazanfar Abbas; Nasreen Kausar
Indonesian Journal of Electrical Engineering and Computer Science Vol 21, No 2: February 2021
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijeecs.v21.i2.pp822-828

Abstract

In this paper, we define the fuzzy subring and discussed various fundamental aspects of fuzzy subrings. We introduce the concept of level subset of this new fuzzy set and prove that level subset of fuzzy subring form a ring. We define fuzzy ideal and show that set of all fuzzy cosets form a ring. Moreover, we investigate the properties of homomorphic image of fuzzy subring.
Co-Authors Fareeha Dilawar Ghazanfar Abbas M. Haris Mateen Muhammad Gulzar Muhammad Gulzar Nasreen Kausar Wafaa H. Hanoon