2010
DOI: 10.1016/j.ejor.2009.05.003
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Mean-variance-skewness model for portfolio selection with fuzzy returns

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Cited by 252 publications
(85 citation statements)
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“…The characterization of the first-order dominance allows us to write an optimization model describing elements of its set of the best portfolios. The numerical implementation of the model with the example of seven triangular assets, introduced by Huang (2008) and used by Li et al (2010) and Sadefo Kamdem et al (2012), displays the best portfolios which have better parameters than those obtained by Huang (2008), Li et al (2010) and Sadefo Kamdem et al (2012). This new approach (qualitative approach) for portfolio selection with fuzzy returns, based on dominances of fuzzy variables, is flexible (it is not restricted to target values) and it improves previous approach (quantitative approach) by providing the best portfolios with better parameters.…”
Section: Discussionmentioning
confidence: 99%
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“…The characterization of the first-order dominance allows us to write an optimization model describing elements of its set of the best portfolios. The numerical implementation of the model with the example of seven triangular assets, introduced by Huang (2008) and used by Li et al (2010) and Sadefo Kamdem et al (2012), displays the best portfolios which have better parameters than those obtained by Huang (2008), Li et al (2010) and Sadefo Kamdem et al (2012). This new approach (qualitative approach) for portfolio selection with fuzzy returns, based on dominances of fuzzy variables, is flexible (it is not restricted to target values) and it improves previous approach (quantitative approach) by providing the best portfolios with better parameters.…”
Section: Discussionmentioning
confidence: 99%
“…In the following, we implement the previous multiobjective program for the usual family A ¼ ðn i Þ 1 i 7 of seven assets with returns described by the following triangular fuzzy variables (see Huang 2008;Li et al, 2010;Sadefo Kamdem et al, 2012): n 1 ¼ ðÀ0:3; 1:8; 2:3Þ, n 2 ¼ ðÀ0:4; 2:0; 2:2Þ, n 3 ¼ ðÀ0:5; 1:9; 2:7Þ, n 4 ¼ ðÀ0:6; 2:2; 2:8Þ, n 5 ¼ ðÀ0:7; 2:4; 2:7Þ, n 6 ¼ ðÀ0:8; 2:5; 3:0Þ and n 7 ¼ ðÀ0:6; 1:8; 3:0Þ.…”
Section: Application In Finance: Set Of Best Portfolios Of a Finite Nmentioning
confidence: 99%
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“…A Moderna Teoria das Carteiras (Modern Portfolio Theory -MPT) foi firmada pelo trabalho seminal de Harry Markowitz, em 1952, intitulado "Portfolio Selection" (LAI;YU;WANG, 2006;QIN;KAR, 2010;KOLM;TÜTÜNCÜ;FABOZZI, 2014) e considera o investidor como sendo racional, avesso ao risco e maximizador de sua própria utilidade esperada. Desse modo, baseado, principalmente, em premissas sobre a distribuição dos retornos dos ativos e sobre o comportamento dos investidores, Markowitz (1952) tinha como principal objetivo diversificar carteiras de investimento, de forma a determinar uma composição que minimizasse o risco ou maximizasse o retorno esperado pelo investidor, dado que este é racional.…”
Section: Introductionunclassified
“…Considering the complexity of the security market in the real world, the non-uniqueness of randomness as a kind of uncertainty and the lack of enough historical data to reflect the future performances of security returns in some real life cases, many scholars began to regard security returns as fuzzy variables which rely on experienced experts' evaluations instead of historical data. Thus, fuzzy portfolio optimization theory is developed and has been mainly studied based on following three methods: (i) Fuzzy set theory [5]; (ii) Possibility measure [6,7]; (iii) Credibility measure [8][9][10].…”
Section: Introductionmentioning
confidence: 99%