[0,1]-Valued Logic: A Natural Generalization of Boolean Logic
Yugoslav journal of operations research, Tome 10 (2000) no. 2, p. 185
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[0,1]-valued logic can be seen as a basis of decision making and reasoning
complementary to ''black white'' reasoning. A new [0,1]-valued logic is presented in
this paper. Classical (Boolean) {0,1}-valued logic can be treated as a special case of new
[0,1]-valued logic. [0,1]-valued logical functions are a generalization of Boolean and/or
pseudo-Boolean functions. All properties of classical logic are preserved in [0,1]-valued
logic.
Classification :
03B50
Keywords: [0,1]-valued logical function, structural function of a logical formula, structural vector of a logical formula, basic logical function, vector of a basic logical function - weighted vector of a logical function, t-norms
Keywords: [0,1]-valued logical function, structural function of a logical formula, structural vector of a logical formula, basic logical function, vector of a basic logical function - weighted vector of a logical function, t-norms
@article{YJOR_2000_10_2_a2,
author = {Dragan G. Radojevi\'c},
title = {[0,1]-Valued {Logic:} {A} {Natural} {Generalization} of {Boolean} {Logic}},
journal = {Yugoslav journal of operations research},
pages = {185 },
year = {2000},
volume = {10},
number = {2},
zbl = {0965.03027},
language = {en},
url = {http://geodesic.mathdoc.fr/item/YJOR_2000_10_2_a2/}
}
Dragan G. Radojević. [0,1]-Valued Logic: A Natural Generalization of Boolean Logic. Yugoslav journal of operations research, Tome 10 (2000) no. 2, p. 185 . http://geodesic.mathdoc.fr/item/YJOR_2000_10_2_a2/