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

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.

[1]  Mostefa Belmokaddem,et al.  Looking over the Horizon 2030: Efficiency of Renewable Energy Base Plants in Algeria Using Fuzzy Goal Programming , 2019 .

[2]  Seyed Hamid Reza Pasandideh,et al.  A preemptive fuzzy goal programming model for generalized supplier selection and order allocation with incremental discount , 2018, Comput. Ind. Eng..

[3]  Davide La Torre,et al.  Planning sustainable development through a scenario-based stochastic goal programming model , 2017, Oper. Res..

[4]  José Arnaldo Barra Montevechi,et al.  Multi-choice mixed integer goal programming optimization for real problems in a sugar and ethanol milling company , 2013 .

[5]  Amine Hocine,et al.  XOR analytic hierarchy process and its application in the renewable energy sector , 2020 .

[6]  Liang-Hsuan Chen,et al.  Fuzzy goal programming with different importance and priorities , 2001, Eur. J. Oper. Res..

[7]  S. Ghosh,et al.  Improvement of financial efficiency and cost effectiveness in energy sector: A case study from Indian thermal power plant , 2010, 2010 International Conference on Education and Management Technology.

[8]  Carlos Henggeler Antunes,et al.  Coupling input–output analysis with multiobjective linear programming models for the study of economy–energy–environment–social (E3S) trade-offs: a review , 2016, Ann. Oper. Res..

[9]  David B. Lobell,et al.  Incorporating Climate Uncertainty into Estimates of Climate Change Impacts , 2015, Review of Economics and Statistics.

[10]  Tugrul U. Daim,et al.  Developing Oregon's renewable energy portfolio using fuzzy goal programming model , 2010, Comput. Ind. Eng..

[11]  L. Hansen,et al.  Pricing Uncertainty Induced by Climate Change , 2019, SSRN Electronic Journal.

[12]  Shiwei Yu,et al.  Developing an optimal renewable electricity generation mix for China using a fuzzy multi-objective approach , 2019, Renewable Energy.

[13]  Zheng-Yun Zhuang,et al.  Meta goal programing approach for solving multi-criteria de Novo programing problem , 2018, Eur. J. Oper. Res..

[14]  D. Stern.  Economic Growth and Energy , 2004 .

[15]  Prasanta Kumar Dey,et al.  Optimal design of the renewable energy map of Greece using weighted goal-programming and data envelopment analysis , 2016, Comput. Oper. Res..

[16]  Cheng F. Lee,et al.  Analysis of the impacts of combining carbon taxation and emission trading on different industry sectors , 2008 .

[17]  Abdelkrim Liazid,et al.  A multi-criteria approach to rank renewables for the Algerian electricity system , 2017 .

[18]  Hamid Davoudpour,et al.  Revised multi-choice goal programming for incorporated dynamic virtual cellular manufacturing into supply chain management: A case study , 2016, Eng. Appl. Artif. Intell..

[19]  Srikumar Acharya,et al.  Multi-choice goal programming approach to solve multi-objective probabilistic programming problem , 2018 .

[20]  Belkacem Draoui,et al.  Wind power potential assessment for three locations in Algeria , 2008 .

[21]  Mehrdad Tamiz,et al.  Weighted Additive Models for Solving Fuzzy Goal Programming Problems , 2008, Asia Pac. J. Oper. Res..

[22]  J. Kraft,et al.  Relationship between energy and GNP , 1978 .

[23]  Mehrdad Tamiz,et al.  A method for solving fuzzy goal programming problems based on MINMAX approach , 2007, Eur. J. Oper. Res..

[24]  Seyed Taghi Akhavan Niaki,et al.  Presenting a stochastic multi choice goal programming model for reducing wastages and shortages of blood products at hospitals , 2017 .

[25]  Davide La Torre,et al.  A Weighted Goal Programming model for planning sustainable development applied to Gulf Cooperation Council Countries , 2017 .

[26]  Aneirson Francisco da Silva,et al.  Goal Programming and Data Envelopment Analysis combined with Fuzzy Theory to evaluate efficiency under uncertainty : Application in mini-factories of the auto parts segment , 2014 .

[27]  James Ignizio,et al.  Introduction to Linear Goal Programming , 1985 .

[28]  K. B. Williams,et al.  Management Models and Industrial Applications of Linear Programming , 1962 .

[29]  Mohamed Benbouziane,et al.  A Fuzzy Goal Programming Formulation with Multiple Target Levels , 2014 .

[30]  R. Narasimhan.  GOAL PROGRAMMING IN A FUZZY ENVIRONMENT , 1980 .

[31]  Z. Mrabet,et al.  The impact of economic development on environmental degradation in Qatar , 2016, Environmental and Ecological Statistics.

[32]  José Ramón San Cristóbal,et al.  A goal programming model for the optimal mix and location of renewable energy plants in the north of Spain , 2012 .

[33]  Noureddine Kouaissah,et al.  Optimizing sustainable and renewable energy portfolios using a fuzzy interval goal programming approach , 2020, Comput. Ind. Eng..

[34]  N. Umarusman.  Fuzzy Goal Programming Problem Based on Minmax Approach for Optimal System Design , 2018, Alphanumeric Journal.

[35]  Ching-Ter Chang.  Revised multi-choice goal programming , 2008 .

[36]  H. Zimmermann.  Fuzzy programming and linear programming with several objective functions , 1978 .

[37]  Garyfallos Arabatzis,et al.  A financial approach to renewable energy production in Greece using goal programming , 2017 .

[38]  C. Hwang,et al.  Fuzzy Multiple Objective Decision Making: Methods And Applications , 1996 .

[39]  Mehrdad Tamiz,et al.  Practical Goal Programming , 2010 .

[40]  Jean-Marc Martel,et al.  Fuzzy goal programming model: an overview of the current state-of-the art , 2009 .

[41]  Amine Hocine,et al.  Optimizing renewable energy portfolios under uncertainty: A multi-segment fuzzy goal programming approach , 2018, Renewable Energy.

[42]  Thomas Trautmann,et al.  Regulatory Uncertainty: A Reason to Postpone Investments? Not Necessarily , 2009 .

[43]  Herbert Inhaber.  Life in a multidimensional world , 2005, Scientometrics.

[44]  G. Brundtland,et al.  Our common future , 1987 .

[45]  Eyup Dogan,et al.  Revisiting the Relationship Between Natural Gas Consumption and Economic Growth in Turkey , 2015 .

[46]  Sang M. Lee,et al.  Goal programming for decision analysis , 1972 .

[47]  H. Pastijn.  Handbook of critical issues in goal programming: Carlos Romero Pergamon Press, Oxford, 1990, xi + 124 pages, £25.00, ISBN 008 0406610 , 1992 .

[48]  Mila Bravo,et al.  Applying stochastic goal programming: A case study on water use planning , 2009, Eur. J. Oper. Res..

[49]  Quantifying the uncertainty of variance partitioning estimates of ecological datasets , 2018, Environmental and Ecological Statistics.

[50]  Zheng-Yun Zhuang,et al.  Weighted-additive fuzzy multi-choice goal programming (WA-FMCGP) for supporting renewable energy site selection decisions , 2020, Eur. J. Oper. Res..

[51]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[52]  Mike Gillen,et al.  Planning for sustainable development , 2004 .

[53]  A new probability model with application to heavy-tailed hydrological data , 2019, Environmental and Ecological Statistics.

[54]  Mohan V. Tatikonda,et al.  The joint influence of technology uncertainty and interorganizational interaction on external technology integration success , 2008 .

[55]  Hui-Ping Ho,et al.  The supplier selection problem of a manufacturing company using the weighted multi-choice goal programming and MINMAX multi-choice goal programming , 2019, Applied Mathematical Modelling.

[56]  Ching-Ter Chang,et al.  Multi-choice goal programming , 2007 .

[57]  N. K. Kwak,et al.  An MCDM model for media selection in the dual consumer/industrial market , 2005, Eur. J. Oper. Res..

[58]  Daniel Scholten,et al.  Renewable energy and geopolitics: A review , 2020 .

[59]  Ehsan Sadeh,et al.  A Fuzzy Goal-Programming Model for Optimization of Sustainable Supply Chain by Focusing on the Environmental and Economic Costs and Revenue: A Case Study , 2019 .

[60]  Kamran Shahanaghi,et al.  Fuzzy multi-choice goal programming , 2012 .

[61]  Davide La Torre,et al.  The Stochastic Goal Programming Model: Theory and Applications , 2012 .

[62]  Davide La Torre,et al.  Optimal Work Force Allocation for Energy, Economic and Environmental Sustainability in the United Arab Emirates: A Goal Programming Approach , 2015 .

[63]  Mehrdad Tamiz,et al.  Goal programming for decision making: An overview of the current state-of-the-art , 1998, Eur. J. Oper. Res..