Finite IUML-algebras, Finite Forests and Orthopairs
Autor: | Stefania Boffa, Davide Ciucci, Stefano Aguzzoli, Brunella Gerla |
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Přispěvatelé: | Aguzzoli, S, Boffa, S, Ciucci, D, Gerla, B |
Rok vydání: | 2018 |
Předmět: |
Algebra and Number Theory
IUML-algebra Information System 0102 computer and information sciences 02 engineering and technology 01 natural sciences Theoretical Computer Science forest Computational Theory and Mathematics 010201 computation theory & mathematics 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Orthopair Information Systems Mathematics |
Zdroj: | Fundamenta Informaticae. 163:139-163 |
ISSN: | 1875-8681 0169-2968 |
Popis: | 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. 1 |
Databáze: | OpenAIRE |
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