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

Keywords

Related Articles

The impact of weights on the quality of agricultural producers' multicriteria decision models

Decisions regarding agricultural production involve multiple goals. A multicriteria approach al-lows decision makers to consider more aspects of the decision scenario, although it also leads to other problems, such as di...

Analysis of complex decision problems based on cumulative prospect theory

Complex risky decision problems involve sequences of decisions and random events. The choice at a given stage depends on the decisions taken in the previous stages, as well as on the realizations of the random events tha...

The number of stable matchings in models of the Gale-Shapley type with preferences given by partial orders

From the famous Gale–Shapley theorem we know that each classical marriage problem admits at least one stable matching. This fact has inspired researchers to search for the maximum number of possible stable matchings, whi...

A collaborative strategy for a three echelon supply chain with ramp type demand, deterioration and inflation

A supply chain system has been investigated in which a single manufacturer procures raw materials from a single supplier, processes them to produce finished products, and then delivers the products to a single retailer....

Exchange of goods while investing into production and safety

The tradeoff between production and safety investment is scrutinized for two agents who convert resources into production and safety investment while simultaneously exchanging goods voluntarily. We quantify how two Cobb–...

Download PDF file
  • EP ID EP459633
  • DOI 10.5277/ord180203
  • Views 52
  • Downloads 0

How To Cite

Anna ŁYCZKOWSKA-HANĆKOWIAK, Krzysztof PIASECKI (2018). The present value of a portfolio of assets with present values determined by trapezoidal ordered fuzzy numbers. Operations Research and Decisions, 28(2), 41-56. https://europub.co.uk/articles/-A-459633