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Symmetry 2018, 10(9), 371; https://doi.org/10.3390/sym10090371

Intertemporal Choice of Fuzzy Soft Sets

1
BORDA Research Unit and Instituto Multidisciplinar de Empresa, University of Salamanca, E37007 Salamanca, Spain
2
Department of Economics and Business, University of Almería, E04120 Almería, Spain
*
Author to whom correspondence should be addressed.
Received: 6 August 2018 / Revised: 24 August 2018 / Accepted: 27 August 2018 / Published: 1 September 2018
(This article belongs to the Special Issue Fuzzy Techniques for Decision Making 2018)
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Abstract

This paper first merges two noteworthy aspects of choice. On the one hand, soft sets and fuzzy soft sets are popular models that have been largely applied to decision making problems, such as real estate valuation, medical diagnosis (glaucoma, prostate cancer, etc.), data mining, or international trade. They provide crisp or fuzzy parameterized descriptions of the universe of alternatives. On the other hand, in many decisions, costs and benefits occur at different points in time. This brings about intertemporal choices, which may involve an indefinitely large number of periods. However, the literature does not provide a model, let alone a solution, to the intertemporal problem when the alternatives are described by (fuzzy) parameterizations. In this paper, we propose a novel soft set inspired model that applies to the intertemporal framework, hence it fills an important gap in the development of fuzzy soft set theory. An algorithm allows the selection of the optimal option in intertemporal choice problems with an infinite time horizon. We illustrate its application with a numerical example involving alternative portfolios of projects that a public administration may undertake. This allows us to establish a pioneering intertemporal model of choice in the framework of extended fuzzy set theories. View Full-Text
Keywords: fuzzy soft set; intertemporal choice; comparison table; decision making fuzzy soft set; intertemporal choice; comparison table; decision making
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Alcantud, J.C.R.; Muñoz Torrecillas, M.J. Intertemporal Choice of Fuzzy Soft Sets. Symmetry 2018, 10, 371.

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