DocumentCode :
635861
Title :
Fuzzy Logic as a geometry
Author :
Belluce, Lawrence Peter ; Di Nola, Antonio ; Lenzi, Giacomo
Author_Institution :
Dept. of Math., Univ. of British Columbia, Vancouver, BC, Canada
fYear :
2013
fDate :
24-28 June 2013
Firstpage :
1249
Lastpage :
1251
Abstract :
We identify polynomial functions over any MV algebra with a kind of truncated function, give a form of Nullstellensatz for A[x1,...,xn], and give a universal algebraic duality between algebraic sets and their coordinate algebras.
Keywords :
Boolean algebra; duality (mathematics); functions; fuzzy logic; geometry; multivalued logic; set theory; Boolean algebra generalization; MV algebra; algebraic model; algebraic sets; coordinate algebras; fuzzy logic; geometry; many-valued Łukasiewicz logic; mathematical structure; polynomial functions; truncated functions; universal algebraic duality; Boolean algebra; Educational institutions; Electronic mail; Fuzzy logic; Polynomials;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location :
Edmonton, AB
Type :
conf
DOI :
10.1109/IFSA-NAFIPS.2013.6608580
Filename :
6608580
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=635861
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