The present value of a portfolio of assets with present values determined by trapezoidal ordered fuzzy numbers

• Authors: ŁYCZKOWSKA-HANĆKOWIAK Anna , PIASECKI Krzysztof
• Languages of publication: EN

Abstracts

EN

We consider the obvious thesis that the present value of a portfolio is equal to the sum of the present values of its components. The main goal of this paper is the implementation of this thesis in the case when present values are determined by trapezoidal ordered fuzzy numbers. We apply the revised sum of ordered fuzzy numbers. The associativity of such a revised sum is investigated here. In addition, we show that the multiple revised sum of a finite sequence of trapezoidal ordered fuzzy numbers depends on the ordering of its summands. Without any obstacles, the results obtained can be generalized to the case of any ordered fuzzy numbers.

Keywords

EN

present value; ordered fuzzy number; portfolio; revised sum

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2018
• Volume: 28
• Issue: 2
• Pages: 41-56

Contributors

author

ŁYCZKOWSKA-HANĆKOWIAK Anna

• WSB University in Poznań, ul. Powstańców Wielkopolskich 5, 61-895 Poznań, Poland

author

PIASECKI Krzysztof

• Poznań University of Economics, Department of Investment and Real Estate, al. Niepodleglosci 10, 61-875 Poznań, Poland

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Identifiers

DOI

10.5277/ord180203