Characterization of order dominances on fuzzy variables for portfolio selection with fuzzy returns View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-12

AUTHORS

Christian Deffo Tassak, Jules Sadefo Kamdem, Louis Aimé Fono, Nicolas Gabriel Andjiga

ABSTRACT

Peng et al (Int J Uncertain Fuzziness Knowl Based Syst 15:29–41, 2007) introduced, by means of the credibility measure, two dominance relations on fuzzy variables, namely the first- and the second-order dominances. In this paper, we characterize each of these dominance relations, and we justify that they satisfy six well-known properties of comparison methods. We propose a Game Theory approach for the determination of optimal portfolios when returns are fuzzy by introducing the set of best portfolios with respect to the first- and the second-order dominances. Based on the characterization of the first-order dominance, we numerically display some of the best portfolios of the classical set of portfolios of seven independent assets described by triangular fuzzy numbers. More... »

PAGES

1491-1502

Identifiers

URI

http://scigraph.springernature.com/pub.10.1057/s41274-016-0164-5

DOI

http://dx.doi.org/10.1057/s41274-016-0164-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1083741280


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