Banca de QUALIFICAÇÃO: NICOLAS EDUARDO ZUMELZU CARCAMO

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : NICOLAS EDUARDO ZUMELZU CARCAMO
DATE: 11/08/2022
TIME: 14:00
LOCAL: DIMAp
TITLE:
Fundamentals of a Fuzzy Mathematical Analysis Based on Fuzzy Numbers and Admissible Orders

KEY WORDS:
Fuzzy numbers, orders on fuzzy numbers, admissible orders, weighted fuzzy graphs, Riemann integral

PAGES: 58
BIG AREA: Ciências Exatas e da Terra
AREA: Ciência da Computação
SUBÁREA: Matemática da Computação
SUMMARY:
Of the more than two hundred partial orders for fuzzy numbers proposed in the literature, only a few are total. In this work, we 
introduce the notion of admissible order for fuzzy numbers equipped with a partial order, that is, a total order that refines the partial
order. In particular, special attention is given to the partial order proposed by Klir and Yuan in 1995. In addition, we propose a
method to construct admissible orders for fuzzy numbers in terms of linear orders defined for intervals considering a upper dense
sequence, proving that this order is admissible for a given partial order. Also, we introduce the notion of Riemann integral over fuzzy
numbers considering admissible orders and we study properties of these and characterizations of these integrals. Finally, we use
orders admissible parameters for classifying path costs in weighted fuzzy graphs.

COMMITTEE MEMBERS:
Presidente - 2212166 - BENJAMIN RENE CALLEJAS BEDREGAL
Interno - 1345816 - REGIVAN HUGO NUNES SANTIAGO
Externo à Instituição - JOSÉ EDMUNDO MANSILLA VILLARROEL
Externo à Instituição - ROBERTO ANTONIO DÍAZ MATAMALA - ULAGOS
Externo à Instituição - RUI EDUARDO BRASILEIRO PAIVA - IFCE
Notícia cadastrada em: 08/08/2022 13:46
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