Portfolio selection based on distance between fuzzy variables
type: Item
instance of: scholarly article
title: Portfolio selection based on distance between fuzzy variables
zbMATH Open document ID: 1407.91232
DOI: 10.1155/2014/403208
author: Weiyi Qian
author: Mingqiang Yin
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper researches portfolio selection problem in fuzzy environment. We introduce a new simple method in which the distance between fuzzy variables is used to measure the divergence of fuzzy investment return from a prior one. Firstly, two new mathematical models are proposed by expressing divergence as distance, investment return as expected value, and risk as variance and semivariance, respectively. Secondly, the crisp forms of the new models are also provided for different types of fuzzy variables. Finally, several numerical examples are given to illustrate the effectiveness of the proposed approach.
Mathematics Subject Classification ID: 91G10
Mathematics Subject Classification ID: 90C70
Mathematics Subject Classification ID: 91G80
zbMATH DE Number: 7016348
Wikidata QID: Q59066764
describes a project that uses: GSA
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/403208
OpenAlex ID: W2117802620
cites work: Large-Scale Portfolio Optimization
cites work: A model for portfolio selection with order of expected returns.
cites work: Simulated annealing for complex portfolio selection problems.
cites work: A minimax portfolio selection strategy with equilibrium
cites work: Computation of mean-semivariance efficient sets by the critical line algorithm
cites work: Variance vs downside risk: Is there really that much difference?
cites work: On Minimization and Maximization of Entropy in Various Disciplines
cites work: Entropy optimization and mathematical programming
cites work: Semi-iterative minimum cross-entropy algorithms for rare-events, counting, combinatorial and integer programming
cites work: Indeterminacy in portfolio selection
cites work: Fuzzy compromise programming for portfolio selection
cites work: Asset portfolio optimization using fuzzy mathematical programming
cites work: Q5431792
cites work: Mean-semivariance models for fuzzy portfolio selection
cites work: Mean-variance-skewness model for portfolio selection with fuzzy returns
cites work: Fuzzy mean-variance-skewness portfolio selection models by interval analysis
cites work: Portfolio selection based on fuzzy cross-entropy
cites work: A new risk criterion in fuzzy environment and its application
cites work: Spread of fuzzy variable and expectation-spread model for fuzzy portfolio optimization problem
cites work: Fuzzy sets
cites work: Fuzzy sets as a basis for a theory of possibility
cites work: Q4039980
cites work: Q3815253
cites work: Uncertainty theory
cites work: A survey of credibility theory
cites work: Q3207999
cites work: GSA: A gravitational search algorithm
description: scientific article; zbMATH DE number 7016348