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34th International Symposium on Multiple-Valued Logic (ISMVL'04)
Weakly Associative Functions on [0, 1] as Logical Connectives
University of Toronto, Toronto, Canada
May 19-May 22
ISBN: 0-7695-2130-4
ASCII Text
x 
 
Mayuka F. Kawaguchi, Masaaki Miyakoshi, "Weakly Associative Functions on [0, 1] as Logical Connectives," 2013 IEEE 43rd International Symposium on Multiple-Valued Logic, pp. 44-48, 34th International Symposium on Multiple-Valued Logic (ISMVL'04), 2004.
 
 
BibTex
x
 
@article{ 10.1109/ISMVL.2004.1319918,
author = {Mayuka F. Kawaguchi and Masaaki Miyakoshi},
title = {Weakly Associative Functions on [0, 1] as Logical Connectives},
journal ={2013 IEEE 43rd International Symposium on Multiple-Valued Logic},
volume = {0},
year = {2004},
issn = {0195-623X},
pages = {44-48},
doi = {http://doi.ieeecomputersociety.org/10.1109/ISMVL.2004.1319918},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - 2013 IEEE 43rd International Symposium on Multiple-Valued Logic
TI - Weakly Associative Functions on [0, 1] as Logical Connectives
SN - 0195-623X
SP44
EP48
A1 - Mayuka F. Kawaguchi,
A1 - Masaaki Miyakoshi,
PY - 2004
KW - null
VL - 0
JA - 2013 IEEE 43rd International Symposium on Multiple-Valued Logic
ER -
 
Mayuka F. Kawaguchi, Hokkaido University
Masaaki Miyakoshi, Hokkaido University
This report focuses on a property of conjunctive operators named "weak associativity," which is one of sufficient conditions for the syllogism in fuzzy logic. The authors introduce a class of binary operators on [0,1] which satisfy the weak associativity and some boundary conditions. Our newly introduced class is broader than the class of t-norms, and is included in that of Galois-operators on [0,1] , which and of which right-residuals form Galois-connections on [0,1] . In addition, the authors show some methods to construct some weakly associative functions by using the generators of t-norms.
Citation:
Mayuka F. Kawaguchi, Masaaki Miyakoshi, "Weakly Associative Functions on [0, 1] as Logical Connectives," ismvl, pp.44-48, 34th International Symposium on Multiple-Valued Logic (ISMVL'04), 2004
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