DocumentCode :
3698084
Title :
Riesz-McNaughton functions and Riesz MV-algebras of nonlinear functions
Author :
Antonio Di Nola;Giacomo Lenzi;Gaetano Vitale
Author_Institution :
Department of Mathematics, University of Salerno, Via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy
fYear :
2015
Firstpage :
1
Lastpage :
8
Abstract :
We focus on Riesz MV-algebras, which are MV-algebras equipped with a multiplication by numbers in the real interval [0,1]. In analogy with a work in preparation for MV-algebras by the same authors, we consider for every integer n the Riesz MV-algebra of all continuous functions from the n-th power of [0,1] to [0,1] and the Riesz MV-subalgebras thereof. In particular we study the Riesz MV-subalgebras isomorphic to free Riesz MV-algebras with finitely many generators, possibly different from the usual linear models given by what we call Riesz-McNaughton functions (and which generalize McNaughton functions used in the case of MV-algebras). In doing this we characterise zerosets of Riesz-McNaughton functions by means of polyhedra, and we extend to Riesz MV-algebras a duality for MV-algebras exposed in a paper by Marra and Spada.
Keywords :
"Algebra","Manganese","Generators","Polynomials","Frequency modulation","Topology","Yttrium"
Publisher :
ieee
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2015 IEEE International Conference on
Type :
conf
DOI :
10.1109/FUZZ-IEEE.2015.7337916
Filename :
7337916
Link To Document :
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