The present value of a portfolio of assets with present values determined by trapezoidal ordered fuzzy numbers
Journal Title: Operations Research and Decisions - Year 2018, Vol 28, Issue 2
Abstract
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.
Authors and Affiliations
Anna ŁYCZKOWSKA-HANĆKOWIAK, Krzysztof PIASECKI
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