Abstract
In this paper, we determined a new characterisation of the derived nilpotent (Engel) Lie ring of fuzzy hyperrings by fuzzy strongly regular relation (Formula presented.) ((Formula presented.)). Moreover, we proved that for a fuzzy hyperring S, the quotient (Formula presented.) ((Formula presented.)) was a nilpotent (Engel) Lie ring. Also, we introduced the notion of an ζ-role of a fuzzy hyperring and investigated its essential properties. Basically, we stated a necessary and sufficient condition for transitivity of ζ. Also, we studied the relationship between the strongly regular relation and ζ-role of a given fuzzy hyperring.
Original language | English |
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Pages (from-to) | 407-424 |
Number of pages | 18 |
Journal | Fuzzy Information and Engineering |
Volume | 14 |
Issue number | 4 |
DOIs | |
State | Published - 2022 |
Keywords
- (Nilpotent) Lie ring
- Engel Lie ring
- fuzzy hyperring
- strongly regular relation