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BIBTEX RIS

Modus ponens and modus tollens in discrete implications

2008; Elsevier BV; Volume: 49; Issue: 2 Linguagem: Inglês

10.1016/j.ijar.2008.04.002

ISSN

1873-4731

Autores

M. Mas, M. Monserrat, Joan Torrens,

Tópico(s)

Fuzzy and Soft Set Theory

Resumo

This paper is devoted to the study of discrete implications that satisfy modus ponens (MP), modus tollens (MT) or both (MPT). The main goal is to characterize all R, S, QL and D-implications on a finite chain L, derived from smooth t-norms, satisfying these properties for a given smooth t-norm T1. The case when T1 is non-smooth is also discussed for a special family of t-norms.

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