Generalized roughness of three dimensional ( $$\in ,\in \vee q$$ ∈ , ∈ ∨ q )-fuzzy ideals in terms of set-valued homomorphism

Generalized roughness of three dimensional ( $$\in ,\in \vee q$$ ∈ , ∈ ∨ q )-fuzzy ideals in terms of set-valued homomorphism

Abstract The objective of this study is to generalize the roughness of a fuzzy set-in three-dimensional structure by introducing ternary multiplication. Many results and theorems of rough fuzzy ideals have been extended from semigroup and semiring, to ternary semiring by introducing the definition o...

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Bibliographic Details
Main Authors: Shahida Bashir, Rabia Mazhar, Nasreen Kausar, Saziye Yaman, Syed Suleman Ali, Muneeb Ul Hassan Afzal
Format: Article
Language:English
Published: Nature Portfolio 2024-05-01
Series:Scientific Reports
Subjects:
Ternary semiring
$$(\in ,\in \vee q)$$ ( ∈ , ∈ ∨ q ) -fuzzy ideal
Lower and upper approximations
Set-valued homomorphism
Strong set-valued homomorphism
Online Access:https://doi.org/10.1038/s41598-024-62207-8

Internet

https://doi.org/10.1038/s41598-024-62207-8

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