On some characterization of \(Q\)-complex fuzzy sub-rings

Volume 22, Issue 3, pp 295--305 http://dx.doi.org/10.22436/jmcs.022.03.08
Publication Date: August 31, 2020 Submission Date: June 19, 2020 Revision Date: July 06, 2020 Accteptance Date: July 21, 2020

Authors

Muhammad Gulzar - Department of Mathematics, Government College University Faisalabad, 38000, Pakistan. Dilshad Alghazzawi - Department of Mathematics, King Abdulaziz University (Rabigh), Saudi Arabia. M. Haris Mateen - Department of Mathematics, University of the Punjab, Lahore, Pakistan. M. Premkumar - Research Scholar, PG and Research Department of Mathematics, Jamal Mohamed College (Autonomous), (Affiliated to Bharathidasan University), India. - Department of Mathematics, Kongunadu College of Engineering and Technology, Tiruchirappalli-620020, Tamilnadu, India.


Abstract

In this paper, we introduce the idea of \(Q\)-complex fuzzy sub-ring (\(Q\)-CFSR) and discuss its various algebraic aspects. We prove that every \(Q\)-CFSR generates two \(Q\)-fuzzy sub-rings (\(Q\)-FSRs). We also present the concept of level subsets of \(Q\)-CFSR and show that level subset of \(Q\)-CFSR form sub-ring. Furthermore, we extend this idea to define the notion of the direct product of two \(Q\)-CFSR Moreover, we investigate the homomorphic image and inverse image of \(Q\)-CFSR.


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ISRP Style

Muhammad Gulzar, Dilshad Alghazzawi, M. Haris Mateen, M. Premkumar, On some characterization of \(Q\)-complex fuzzy sub-rings, Journal of Mathematics and Computer Science, 22 (2021), no. 3, 295--305

AMA Style

Gulzar Muhammad, Alghazzawi Dilshad, Mateen M. Haris, Premkumar M., On some characterization of \(Q\)-complex fuzzy sub-rings. J Math Comput SCI-JM. (2021); 22(3):295--305

Chicago/Turabian Style

Gulzar, Muhammad, Alghazzawi, Dilshad, Mateen, M. Haris, Premkumar, M.. "On some characterization of \(Q\)-complex fuzzy sub-rings." Journal of Mathematics and Computer Science, 22, no. 3 (2021): 295--305


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