New fundamental relation and complete part of fuzzy hypermodules. (4th July 2022)

• Record Type: Journal Article
• Authors: Firouzkouhi, N.; Davvaz, B.
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 25:Number 5(2022)
• Page Start: 1225
• Page End: 1237
• Publication Date: 2022-07-04
• Subjects: 03E72 -- 16D99; Fundamental relation -- Complete part -- Heart -- Fuzzy hyperring -- Fuzzy hypermodule -- Fuzzy strongly regular equivalence; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2020.1740496
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: In this paper, we introduce a new fuzzy strongly regular equivalence on fuzzy hypermodules as the set of the quotient is a group. The fundamental relation on a fuzzy hypermodules is defined as the smallest equivalence relation, such that the quotient would be the group. Also, we introduce the notion of a complete part of a fuzzy hypermodule and investigate its important properties. Eventually, we convey the relationship between the fundamental relation and complete parts of a fuzzy hypermodule.