Grade in Metalogical Notions: a Comparative Study of Fuzzy Logics

• Autores: S. Dutta, K. Chakraborty
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 21, Nº. 2, 2014, págs. 20-32
• Idioma: inglés
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• Resumen

  • No new theorems either within a logic or of some metalogic are proved in this paper, but some already existing logic systems of fuzzy logic in the narrow sense are only rewritten. In so doing three levels of languages, namely object level, meta level, meta meta level, are distinctly presented obeying the principles of "use" and "mention". The purpose of such a rewriting is to show that association of grades to the metalogical notions e.g. consistency, consequence etc. is properly accomplished only in the approach of graded consequence. A comparison with other fuzzy logics, primarily with that of Pavelka has been carried out from this angle.