Black-Litterman Model with Intuitionistic Fuzzy Posterior Return
Krzysztof Echaust , Krzysztof Piasecki
AbstractThe main objective is to present a some variant of the Black-Litterman model. We consider the canonical case when priori return is determined by means such excess return from the CAPM market portfolio which is derived using reverse optimization method. Then the a priori return is at risk quantified uncertainty. On the side, intensive discussion shows that the experts' views are under knightian uncertainty. For this reason, we propose such variant of the Black-Litterman model in which the experts' views are described as intuitionistic fuzzy number. The existence of posterior return is proved for this case. We show that then posterior return is an intuitionistic fuzzy probabilistic set.
|Journal series||SSRN Electronic Journal, ISSN 1556-5068, (0 pkt)|
|Publication size in sheets||0.5|
|Keywords in English||Black-Litterman model, intuitionistic fuzzy number, quantitaive uncertainty, knightian uncertainty, imprecision|
|Score|| = 0.0, 19-12-2019, ArticleFromJournal|
= 5.0, 19-12-2019, ArticleFromJournal
|Publication indicators||= 0|
|Citation count*||2 (2020-07-12)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.