On some properties of generalized symbolic modifiers and their role in symbolic approximate reasoning

Authors:
Saoussen Bel Hadj Kacem;Amel Borgi;Moncef Tagina
Affiliations:
National School of Computer Sciences, University Campus Manouba, Manouba, Tunisia;National Institute of Applied Sciences and Technology, Centre Urbain Nord de Tunis, Tunis, Tunisia;National School of Computer Sciences, University Campus Manouba, Manouba, Tunisia
Venue:
ICIC'09 Proceedings of the Intelligent computing 5th international conference on Emerging intelligent computing technology and applications
Year:
2009

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Abstract

Linguistic modifiers, defined by Zadeh in fuzzy logic context, are operators that transform a linguistic term to another linguistic term. Akdag and al. extend linguistic modifiers to symbolic multivalued logic context, and called them Generalized Symbolic Modifiers. In this paper we propose a study which allows deepening the use of Generalized Symbolic Modifiers in soft computing applications. We focus on symbolic modifiers composition, and we give new properties. Then, we study modifiers order relation, based on a lattice that orders all the defined modifiers according to their parameters. Finally, we illustrate the utilities of our propositions, particularly in approximate reasoning based on linguistic modifiers.