• Title/Summary/Keyword: (${\in},{\in}{\vee}q$)-fuzzy equivalence relation

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A STUDY ON (∈, ∈ ∨ q)-FUZZY CONGRUENCE ON RING

  • N. PRADIPKUMAR;O. RATNABALA DEVI
    • Journal of applied mathematics & informatics
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    • v.42 no.4
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    • pp.801-818
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    • 2024
  • The purpose of this paper is to introduce the concept of (∈, ∈ ∨q)-fuzzy congruence relation over ring and discuss some properties of the (∈, ∈ ∨q)-fuzzy congruence relation. We also establish a brief relation between (∈, ∈ ∨q)-fuzzy ideal and (∈, ∈ ∨q)-fuzzy congruence relation. The image and preimage of (∈, ∈ ∨q)-fuzzy congruence are also studied under the so called semibalanced map.