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Issue:A proposed axiomatic system for Atanassov Intuitionistic Fuzzy Logic

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Title of paper: A proposed axiomatic system for Atanassov Intuitionistic Fuzzy Logic
Author(s):
Esfandiar Eslami
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Esfandiar.Eslami@uk.ac.ir, Corresponding author
Farnaz Ghanavizi Maroof
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Ghanavizi.farnaz66@gmail.com
Published in: "Notes on IFS", Volume 19, 2013, Number 4, pages 1—14
Download:  PDF (186  Kb, File info)
Abstract: In this paper, we continue our studies on Intuitionistic Fuzzy Residuated Lattices (IFRLs) defined in [11]. We investigate more properties of the implication operator of these symmetric residuated lattices. We observe that most axioms of the Basic Fuzzy Logic and Intuitionistic Logic hold in Intuitionistic Fuzzy Residuated Lattices (IFRLs). Accepting these axioms together with the basic properties of operators, we propose an axiomatic system for Atanassov Intuitionistic Fuzzy Logic (A-IFL).
Keywords: Intuitionistic fuzzy residuated lattice, Residuated lattice, Symmetric lattice, Intuitionistic fuzzy logic.
AMS Classification: 03B47, 03G10.
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