Intuitionistic Fuzzy Knapsack Problem Trough the Index Matrices Prism

Traneva, Velichka; Petrov, Petar; Tranev, Stoyan

doi:10.1007/978-3-031-32412-3_28

Cited by 2 publications

(1 citation statement)

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“…In this regard, our efforts are to develop an extension of the portfolio selection problem so that it can be applied to IF data and then to circular and elliptic IFSs. In our previous works [45], [46], we for the first time have suggested IF and circular IF KP (C-IFKP) for finding the optimal solution respectively of the IF and circular IF portfolio selection problem. The main parameters in the problems are IF pairs or circular IF triples, determined by experts under three different scenarios -pessimistic, optimistic, and average.…”

Section: Introductionmentioning

confidence: 99%

An Elliptic Intuitionistic Fuzzy Portfolio Selection Problem based on Knapsack Problem

Traneva,

Petrov,

Tranev

2023

Annals of Computer Science and Information Systems

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This paper suggests an index-matrix approach to a knapsack-based portfolio selection model (E-IFKP) with parameters, characterized by elliptic intuitionistic fuzzy values. Elliptic Intuitionistic Fuzzy Sets are a tool to model the greater uncertainty of the environment, which is introduced in 2021. In the developed E-IFKP model, the price and the return value of the assets are determined by experts taking into account their rank. Three scenarios are proposed to the decision maker for the final choice -pessimistic, optimistic, and average. The proposed E-IFKP extends the dynamic programming approach for the Knapsack problem, which aims to select items to be placed in the knapsack to achieve the highest possible total value not exceeding its capacity. To determine the best option for an E-IFKP for certain data from the US stock exchange a software for conducting the proposed approach is developed and is used in the case study.

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Section: Introductionmentioning

confidence: 99%