Banca de DEFESA: EDUARDO SILVA PALMEIRA

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE: EDUARDO SILVA PALMEIRA
DATA: 22/02/2013
HORA: 10:00
LOCAL: Sala de Reunioes do DIMAp
TÍTULO:

On Extension of Fuzzy Connectives


PALAVRAS-CHAVES:

lattice-valued Fuzzy connectives,  extensions, retractions,  e-operators.


PÁGINAS: 130
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Ciência da Computação
SUBÁREA: Teoria da Computação
ESPECIALIDADE: Lógicas e Semântica de Programas
RESUMO:

There are several operators related to fuzzy logic which in general are generalization of classical ones. For instance,  triangular norms and conorms (t-norms and t-conorms for short) generalize the operators ``and" and ``or" from classical logic. Considering that most of these fuzzy operators are in particular functions a natural question arises: Without loss of generality if we consider a  t-norm $T$ defined  on a sublattice $M$ of bounded lattice $L$ which satisfies a property $P$ is it possible (1) to extend $T$ to a function $T^E$ on $L$ in such way that $T^E$ is also  a t-norm  and (2) that property $P$ is preserved?\
In this framework we present here two different methods for extending t-norms, t-conorms, fuzzy negations and implications (namely, extension via retractions and extension via e-operators) from a sublattice to a lattice considering a generalized notion of sub lattices. For both methods goal (1) is
completely achieved, however extension via retractions fails in preserving some properties of these fuzzy connectives. Moreover, we prove some results involving extension and automorphisms,
De Morgan triples and t-subnorms. Finally,  we present a study of extension of restricted equivalence functions.


MEMBROS DA BANCA:
Presidente - 2212166 - BENJAMIN RENE CALLEJAS BEDREGAL
Externo à Instituição - GRAÇALIZ PEREIRA DIMURO - FURG
Externo à Instituição - LAECIO CARVALHO DE BARROS - UNICAMP
Externo à Instituição - MARCUS PINTO DA ROCHA COSTA - UFPA
Interno - 1345816 - REGIVAN HUGO NUNES SANTIAGO
Notícia cadastrada em: 08/01/2013 21:04
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