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Erschienen in: Soft Computing 11/2015

01.11.2015 | Methodologies and Application

Multimodal epistemic Łukasiewicz logics with application in immune system

verfasst von: Antonio Di Nola, Revaz Grigolia, Nunu Mitskevich

Erschienen in: Soft Computing | Ausgabe 11/2015

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Abstract

We offer a new logic, a multimodal epistemic Łukasiewicz logic, which is an extension of the infinitely valued Łukasiewicz logic, the language of the logic is an extended by unary connectives that are interpreted as modal operators (knowledge operators). We propose the use such a logic in studying immune system. A relational system is developed as a semantic of this logic. The relational systems represent the immune system which in its turn is a part of relational biology.

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Fußnoten
1
The logic EŁ(n) (EŁ\(^{\Box }(n))\) is obtained by elimination of Ł\(_3\)-axiom \((\varphi \) & \(\varphi ) \leftrightarrow (\varphi \) & \(\varphi \) & \(\varphi )\) from the axioms of EŁ(n) (EŁ\(^{\Box }(n))\).
 
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Metadaten
Titel
Multimodal epistemic Łukasiewicz logics with application in immune system
verfasst von
Antonio Di Nola
Revaz Grigolia
Nunu Mitskevich
Publikationsdatum
01.11.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 11/2015
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-015-1804-4

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