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Revers?o de ordem no m?todo Technique for Order Preference by Similarity to Ideal Solution - TOPSISAires, Renan Felinto de Farias 29 September 2017 (has links)
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Previous issue date: 2017-09-29 / Durante as ?ltimas d?cadas, v?rios m?todos de Apoio Multicrit?rio ? Decis?o (MCDM) t?m
sido utilizados para auxiliar decisores na sele??o de melhores alternativas para problemas
de decis?o diversos. Dentre eles, o Technique for Order Preference by Similarity to Ideal
Solution (TOPSIS) ? um dos mais utilizados. Apesar da sua grande difus?o, este tem
sido criticado devido ? ocorr?ncia de um problema chamado rank reversal (revers?o de
ordena??o), que, em sua mais conhecida denomina??o, se refere ? mudan?a na ordena??o
de um grupo de alternativas anteriormente ordenadas ap?s uma alternativa irrelevante ter
sido adicionada ou exclu?da desse grupo. Apesar da quantidade significativa de estudos
sobre este problema para os m?todos MCDM, tem-se que a an?lise desse problema para o
TOPSIS ainda ? feita de forma superficial, sem um estudo criterioso acerca das causas e
condi??es de ocorr?ncia, bem como marcada por proposi??es de modelos inadequados. Por
conta disso, o objetivo desse estudo foi propor uma extens?o do m?todo TOPSIS para
minimizar a revers?o de ordena??o. Para isso, foi realizada uma pesquisa experimental a
partir de simula??es computacionais geradas aleatoriamente com base em quatro situa??es
de revers?o selecionados na literatura. Nos casos de ambas as problem?ticas investigadas,
de escolha e de ordena??o, foram analisados os efeitos da normaliza??o utilizada e dos
limiares de indiferen?a. Adicionalmente, os casos da problem?tica de escolha tamb?m foram
analisados a partir da regress?o log?stica, no intuito de estimar as condi??es em que h? uma
maior probabilidade de ocorr?ncia de revers?o de ordena??o. Com base nos experimentos
e na an?lise dos modelos da literatura, foi proposta uma extens?o do TOPSIS. O modelo
proposto ? baseado na defini??o de um conjunto de valores intitulado de Dom?nio, que
representa os valores limites de cada crit?rio na matriz de decis?o no intuito de ultrapassar
os inconvenientes do TOPSIS. Para a valida??o da proposta, foi realizada uma aplica??o
num?rica para a problem?tica de sele??o de estudantes e concluiu-se que o modelo proposto
? robusto por, simultaneamente, evitar a ocorr?ncia da revers?o de ordena??o e apresentar
uma boa capacidade discriminat?ria. / During the last decades, various multi-criteria decision-making methods (MCDM) have
been used to assist decision makers in selecting the best alternatives for many decision
problems. Among them, the Technique for Order Preference by Similarity to Ideal Solution
(TOPSIS) is one of the most used. Despite its wide dissemination, it has been criticized
due to the occurrence of a problem called rank reversal, which in its most known meaning
refers to the change in the ordering of a group of previously ordered alternatives after an
irrelevant alternative has been added or removed from this group. Despite the significant
amount of research on this problem for MCDM methods, it has been superficially analyzed
in the case of TOPSIS, without a careful study on the occurrence causes and conditions,
as well as marked by propositions inadequate models. Therefore, the aim of this study was
to propose an extension of the TOPSIS method to minimize rank reversal. For this, it was
realized an experimental research through computer simulations randomly generated based
on four reversal situations selected in the literature. In the cases of the both problems types
investigated, of choice and rank, the effects of the normalization used and the indifference
thresholds were analyzed. In addition, the cases of the problem of choice were also analyzed
from the logistic regression, in order to estimate the conditions in which there is a greater
probability of occurrence of rank reversal. Based on the experiments and analysis of the
literature models, an extension of TOPSIS was proposed. The proposed model is based on
the definition of a set of values called Domain, which represents the limit values of each
criterion in the decision matrix in order to overcome the drawbacks of TOPSIS. For the
validation of the proposal, a numerical application was made for the problem of student
selection and it was concluded that the proposed model is robust because it simultaneously
prevents the occurrence of ranking reversal and presents a good discriminatory capacity.
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Modelo de decis?o multicrit?rio para sele??es interciclo das universidades novas: estudo na Universidade Federal do Rio Grande do NorteAires, Renan Felinto de Farias 14 January 2014 (has links)
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Previous issue date: 2014-01-14 / The discussions wherein develop proposals for university reform in Brazil include, among
other things, the conception of the university titled "New University", whose structural origin
comes from the bill of higher education reform and unification of the foundations of
education European upper (Bologna process). At its core, the Bologna process has imposed a
series of transformations, among which, the promotion of mobility, as a stimulus to
interinstitutional cooperation to enable an better and bigger qualification of the students.
Nevertheless, what we see is that this point is one of the main points made flawed by
Brazilian institutions that have adopted this model of higher education. An example is the
Bachelor of Science and Technology - BC&T, Federal University of Rio Grande do Norte -
UFRN, where there are problems of the internal order, represented by the problem of the
reusing of the disciplines, such also of external order, in cases of transfers interinstitutional.
Because of this, and knowing that this is a typical problem in which multiple criteria are
involved, the aim of this study is to propose a multicriteria model for selection of interciclo of
the BC&T of the UFRN which addresses the issue of mobility. For this, this study was of
exploratory and study case nature, use as tools of data collection, the bibliographic and
documentary research, as well as semi-structured interviews. For the elaboration of the model,
were used the five phases most commonly used in the modeling of problems in operational
research in a sample of 91 students of BC&T. As a result, we obtained a model that addresses
the issue of internal and external mobility of the school and that, moreover, was also more
robust and fair than the current model of BC&T and also what is used in other courses of the
UFRN, taking into consideration the expected results by the decision makers / As discuss?es em que se desenvolvem as propostas de reforma universit?ria no Brasil
compreendem, dentre outros aspectos, a concep??o da universidade intitulada de
Universidade Nova , cuja origem estrutural adv?m do projeto de lei da reforma da educa??o
superior e dos fundamentos da unifica??o da educa??o superior europeia (processo de
Bolonha). Em seu cerne, o processo de Bolonha imp?s uma s?rie de transforma??es, dentre as
quais, a promo??o da mobilidade, como est?mulo ? coopera??o interinstitucional no intuito de
permitir uma melhor e maior qualifica??o dos alunos. Apesar disso, o que se percebe ? que
este ponto ? um dos principais aspectos deficientes apresentados pelas institui??es brasileiras
que adotaram esse modelo de ensino superior. Um exemplo disto ? o Bacharelado em
Ci?ncias e Tecnologia - BC&T da Universidade Federal do Rio Grande do Norte - UFRN, em
que existem problemas tanto de ordem interna, representada pelo problema de
reaproveitamento de disciplinas, como de ordem externa, para os casos de transfer?ncias
interinstitucionais. Por conta disto, e sabendo-se que este ? um t?pico problema em que est?o
envolvidos m?ltiplos crit?rios, o objetivo deste estudo ? propor um modelo multicrit?rio para
a sele??o interciclo do BC&T da UFRN, que contemple a quest?o da mobilidade. Para tanto,
este estudo, de car?ter explorat?rio e delineado como estudo de caso, utilizou, como
ferramentas de coleta de dados, as pesquisas bibliogr?fica e documental, al?m de entrevistas
semiestruturadas. Para a elabora??o do modelo, foram utilizadas as cinco fases mais
comumente presentes nas modelagens dos problemas de pesquisa operacional em uma
amostra de 91 discentes do BC&T. Como resultados, obteve-se um modelo que contempla a
quest?o da mobilidade interna e externa da escola e que, al?m disso, tamb?m se mostrou mais
robusto e justo do que o modelo atual do BC&T e tamb?m do que ? utilizado nas demais
gradua??es da UFRN, levando em considera??o as expectativas de resultados dos decisores
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