Rough Approximations in Algebras of a Non-associative Generalization of the Łukasiewicz Infinite Valued Logic

Jiří Rachůnek; Dana Šalounová

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Paper

Rough Approximations in Algebras of a Non-associative Generalization of the Łukasiewicz Infinite Valued Logic

Topics: Approximate Reasoning and Fuzzy Inference; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic

In Proceedings of the International Conference on Fuzzy Computation Theory and Applications - Volume 0IJCCI, 158-162, 2014 , Rome, Italy

Authors: Jiří Rachůnek ¹ and Dana Šalounová ²

Affiliations: ¹ Palacký University, Czech Republic ; ² VŠB–Technical University Ostrava, Czech Republic

Keyword(s): Commutative Basic Algebra, MV-algebra, Non-associative Logic, Łukasiewicz Logic, Classical Rough Set, Approximation Space, Ideal, Congruence.

Related Ontology Subjects/Areas/Topics: Approximate Reasoning and Fuzzy Inference ; Artificial Intelligence ; Computational Intelligence ; Fuzzy Systems ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing

Abstract: Commutative basic algebras are non-associative generalizations of MV-algebras. They are an algebraic counterpart of a non-associative propositional logic which generalizes the Łukasiewicz infinite valued logic and which is related to reasoning under uncertainty. The paper investigates approximation spaces in commutative basic algebras based on their ideals.

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Paper citation in several formats:

Rachůnek, J. and Šalounová, D. (2014). Rough Approximations in Algebras of a Non-associative Generalization of the Łukasiewicz Infinite Valued Logic. In Proceedings of the International Conference on Fuzzy Computation Theory and Applications (IJCCI 2014) - FCTA; ISBN 978-989-758-053-6, SciTePress, pages 158-162. DOI: 10.5220/0005129401580162

@conference{fcta14,
author={Ji\v{r}í Rachůnek. and Dana Šalounová.},
title={Rough Approximations in Algebras of a Non-associative Generalization of the Łukasiewicz Infinite Valued Logic},
booktitle={Proceedings of the International Conference on Fuzzy Computation Theory and Applications (IJCCI 2014) - FCTA},
year={2014},
pages={158-162},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005129401580162},
isbn={978-989-758-053-6},
}

TY - CONF

JO - Proceedings of the International Conference on Fuzzy Computation Theory and Applications (IJCCI 2014) - FCTA
TI - Rough Approximations in Algebras of a Non-associative Generalization of the Łukasiewicz Infinite Valued Logic
SN - 978-989-758-053-6
AU - Rachůnek, J.
AU - Šalounová, D.
PY - 2014
SP - 158
EP - 162
DO - 10.5220/0005129401580162
PB - SciTePress