Fuzzy Roughness in Hyperrings Based on a Complete Residuated Lattice
نویسندگان
چکیده
This paper considers the relations among L -fuzzy sets, rough sets and hyperring theory. Based on a complete residuated lattice, the concept of (invertible) L-fuzzy hyperideals of a hyperring is introduced and some related properties are presented. The notions of lower and upper L-fuzzy rough approximation operators with respect to an L-fuzzy hyperideal are provided and some significant properties of them are discussed. In addition, a new algebraic structure called (invertible) L-fuzzy rough hyperideals is defined and investigated.
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