We show that finite IUML-algebras, which are residuated lattices arising from an idempotent uninorm, can be interpreted as algebras of sequences of orthopairs whose main operation is defined starting from the three-valued Sobociński operator between rough sets. Our main tool is the representation of finite IUML-algebras by means of finite forests.

Finite IUML-algebras, Finite Forests and Orthopairs

stefania Boffa
;
brunella Gerla
2018

Abstract

We show that finite IUML-algebras, which are residuated lattices arising from an idempotent uninorm, can be interpreted as algebras of sequences of orthopairs whose main operation is defined starting from the three-valued Sobociński operator between rough sets. Our main tool is the representation of finite IUML-algebras by means of finite forests.
Aguzzoli, Stefano; Boffa, Stefania; Ciucci, Davide; Gerla, Brunella
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2074910
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