Characterization of Derived Nilpotent (Engel) Lie Ring of Fuzzy Hyperrings by Using Fuzzy Strongly Regular Relations

E. Mohammadzadeh, R. A. Borzooei, F. Mohammadzadeh, S. S. Ahn

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)407-424
Number of pages18
JournalFuzzy Information and Engineering
Volume14
Issue number4
DOIs
StatePublished - 2022

Keywords

  • (Nilpotent) Lie ring
  • Engel Lie ring
  • fuzzy hyperring
  • strongly regular relation

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