On rational weak Nilpotent Minimum logics

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Título:	On rational weak Nilpotent Minimum logics
Autor:	Esteva, Francesc CSIC ORCID ; Godo, Lluis CSIC ORCID ; Noguera, Carles CSIC ORCID
Palabras clave:	Rational Pavelka logic Gödel logic Rational weak nilpotent minimum logic Rational Gödel logic Weak nilpotent minimum
Fecha de publicación:	2006
Editor:	Old City Publishing
Citación:	Journal of Multiple-Valued Logic and Soft Computing 12: 9- 32 (2006)
Resumen:	In this paper we investigate extensions of Gödel and Nilpotent Minimum logics by adding rational truth-values as truth constants in the language and by adding corresponding book-keeping axioms for the truth-constants. We also investigate the rational extensions of some parametric families of Weak Nilpotent Minimum logics, weaker than both Gödel and Nilpotent Minimum logics. Weak and strong standard completeness of these logics are studied in general and in particular when we restrict ourselves to formulas of the kind r̄ → φ, where r is a rational in [0, 1] and φ is a formula without rational truth-constants. © 2006 Old City Publishing, Inc.
URI:	http://hdl.handle.net/10261/160968
Identificadores:	issn: 1542-3980
Aparece en las colecciones:	(IIIA) Artículos