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 / S. Aguzzoli, S. Boffa, D. Ciucci, B. Gerla. - In: FUNDAMENTA INFORMATICAE. - ISSN 0169-2968. - 163:2(2018), pp. 139-163. [10.3233/FI-2018-1735]
Finite IUML-algebras, Finite Forests and Orthopairs
S. Aguzzoli;
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.
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