A fuzzy goal programming with interval target model and its application to the decision problem of renewable energy plan

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A fuzzy goal programming with interval target model and its application to the decision problem of renewable energy planning Amin Hocine1 · Mohammed Seghir Guellil2 · Eyup Dogan3 · Samir Ghouali4 · Noureddine Kouaissah1 Received: 6 November 2019 / Revised: 7 April 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract Optimizing sustainable renewable energy portfolios is one of the most complicated decision making problems in energy policy planning. This process involves meeting the decision maker’s preferences, which can be uncertain, while considering several conflicting criteria, such as environmental, societal, and economic impact. In this paper, rather than using existing techniques, a novel multi-objective decision making (MODM) model, named fuzzy goal programming with interval target (FGP-IT), is proposed and constructed based on recent developments and concepts in fuzzy goal programming (FGP) and revised multi-choice goal programming (RMCGP). The model deals with decision making problems involving a high level of uncertainty by offering decision makers a more flexible way to formulate and express their preferences, namely, fuzzy interval target goals. The proposed method is used to optimize a hypothetical sustainable wind energy portfolio in Algeria. The results show that the FGP-IT model is capable of assisting decision makers with uncertain preferences in making such complicated decisions. Keywords Fuzzy goal programming · Multi-choice goal programming · Multi-criteria decision making · Renewable energy planning · Uncertainty modeling

Handling Editor: Pierre Dutilleul.

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Eyup Dogan [email protected]

1

Rabat Business School, BEAR-lab, Parc Technopolis-Rabat-Shore, International University of Rabat, Rabat, Morocco

2

Faculty of Economics, Business and Management Sciences, MCLDL Laboratory, University of Mascara, 29000 Mascara, Algeria

3

Department of Economics, Abdullah Gul University, Kayseri, Turkey

4

Faculty of Sciences and Technology, Mustapha Stambouli University, 29000 Mascara, Algeria

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Environmental and Ecological Statistics

1 Introduction The increasing complexity of today’s world has forced us to change our approach to real-life problems to incorporate numerous perspectives—political, environmental, economic, and technological, among others—as described in 1984 by the physicist Moravcsik (1984): “In a nutshell, my point is that an overwhelming fraction of work in the science of science, and in fact in many other areas of inquiry, has been carried out in an implicitly or explicitly one-dimensional framework and therefore with a correspondingly one-dimensional methodology. It is my contention that this is a fundamentally incorrect way of looking at problems which, from the very outset, distorts reality and hence is unable to arrive at truly insightful conclusions. Instead, I claim, one must adopt a multi-dimensional model of reality and use a methodology befitting this model to achieve meaningful and functional understanding which then also has some p