Banca de QUALIFICAÇÃO: RUI EDUARDO BRASILEIRO PAIVA

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
DISCENTE : RUI EDUARDO BRASILEIRO PAIVA
DATA : 23/05/2019
HORA: 15:00
LOCAL: DIMAP
TÍTULO:

A lattice extension for Overlaps and naBL-algebras

PALAVRAS-CHAVES:

NaBL-algebras, Lattices, BL-algebras, Fuzzy Logic

PÁGINAS: 122
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Ciência da Computação
SUBÁREA: Teoria da Computação
ESPECIALIDADE: Lógicas e Semântica de Programas
RESUMO:

Overlaps functions were introduced as a class of bivariate aggregation functions over the range [0,1] to be applied in the image processing field. Many researchers have begun to develop the theory of overlaps in order to explore their potentialities in different scenarios, such as problems involving classification or decision making. Recently, a non-associative generalization of Hayjek's BL-algebras, called naBL-algebras, were investigated from the perspective of the residuation property.

In this work, we propose a notion of overlaps for the lattice context and introduce a more general definition, called quasi-overlaps, which arises from the withdrawal of the euclidean continuity condition. In addition, the main properties of (quasi-) overlaps over limited lattices, namely: convex sum, migrativity, homogeneity, idempotency and cancellation law are investigated, as well as a characterization of archimedian overlaps is presented. Finally, we provide a generalization of the notion of naBL-algebras based on overlaps over complete lattices.

MEMBROS DA BANCA:
Presidente - 1345816 - REGIVAN HUGO NUNES SANTIAGO
Interno - 2251108 - UMBERTO RIVIECCIO
Externo à Instituição - MARCO CERAMI - UFBA