Complex multi–fuzzy subgroups. (17th November 2022)

• Record Type: Journal Article
• Authors: Alsarahead, Mikhled Okleh; Al-Husban, Abdallah
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 25:Number 8(2022)
• Page Start: 2707
• Page End: 2716
• Publication Date: 2022-11-17
• Subjects: 03E72; Multi-fuzzy subgroup -- Homogeneous complex multi-fuzzy set -- Complex multi-fuzzy subgroup; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2022.2101250
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: There has been an increased recognition that more attention needs to be paid to the area of fuzzy algebra. A closer look at the literature, reveals several gaps and shortcomings such as the concept of complex multi-fuzzy subgroups. This article introduces the concept as well as investigates the nexus between complex multi-fuzzy subgroups and multi-fuzzy subgroups. Further, this article discovers that each complex multi-fuzzy subgroup produces two multi-fuzzy subgroups. Furthermore, there is additional discussion of the nexus between complex multi-fuzzy subgroups and classical subgroups. Finally, characterizes and illustrates the back-and-forth images carried by such a group homomorphism.