On L-fuzzy approximation operators and L-fuzzy relations on residuated lattices

Author(s):

M. Kondo *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
We consider properties of L-fuzzy relations and L-normal operators for a residuated lattice L in detail and show that the class RL(U) of all L-fuzzy relations on U and the class NL(U) of all L-normal operators are residuated lattices and they are isomorphic as lattices. Moreover, we prove that for any L-normal operators F, it is reflexive (or transitive) if and only if the L-fuzzy relation RF induced by F is reflexive (or transitive) respectively.
Keywords:

$L$-fuzzy relation , $L$-fuzzy approximation operator , $L$-fuzzy approximation space , residuated lattice

Language:
English
Published:
Journal of Algebraic Hyperstructures and Logical Algebras, Volume:4 Issue: 2, Spring 2023
Pages:
1 to 16
https://www.magiran.com/p2663987