Skip to main content

Advertisement

SpringerLink
Log in

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

  • Published:
Environmental and Ecological Statistics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

https://www.cder.dz/spip.php?article1765)

Fig. 5

Similar content being viewed by others

References

  • Aalaei A, Davoudpour H (2016) Revised multi-choice goal programming for incorporated dynamic virtual cellular manufacturing into supply chain management. Eng Appl Artif Intell 47(1):3–15

    Google Scholar 

  • Aouni B, Martel JM, Hassaine A (2009) Fuzzy goal programming model: an overview of the current state of-the art. J Multi Crit Decis Anal 16(1):149–161

    Google Scholar 

  • Aouni B, Abdelaziz FB, La Torre D (2012) The stochastic goal programming model: theory and applications. J Multi Crit Decis Anal 19(1):185–200

    Google Scholar 

  • Attari MYN, Pasandide HSZ, Agaie A, Niaki STA (2017) Presenting a stochastic multi choice goal programming model for reducing wastages and shortages of blood products at hospitals. J Ind Syst Eng 10(1):81–96

    Google Scholar 

  • Barnett M, Brock W, Hansen LP (2020) Pricing uncertainty induced by climate change. Rev Financial Stud 33(3):1024–1066

    Google Scholar 

  • Bravo M, Gonzalez I (2009) Applying stochastic goal programming: a case study on water use planning. Eur J Operation Res 196(3):1123–1129

    Google Scholar 

  • Burke M, Dykema J, Lobell AB, Miguel E, Satyanath S (2015) Incorporating climate uncertainty into estimates of climate change impacts. Rev Econ Stat 97(2):461–471

    Google Scholar 

  • Chang CT (2007) Multi-choice goal programming. Omega 35(4):389–396

    Google Scholar 

  • Chang CT (2008) Revised multi-choice goal programming. Appl Math Model 32(12):2587–2595

    Google Scholar 

  • Charnes A, Cooper WW (1961) Management models and industrial applications of linear programming. Wiley, New York

    Google Scholar 

  • Chen LH, Tsai FC (2001) Fuzzy goal programming with different importance and priorities. Eur J Operation Res 133(1):548–556

    Google Scholar 

  • Daim TU, Kayakutlu G, Cowan K (2010) Developing Oregon’s renewable energy portfolio using fuzzy goal programming model. Comput Ind Eng 59(1):786–793

    Google Scholar 

  • Dogan E (2015) Revisiting the relationship between natural gas consumption and economic growth in Turkey. Energy Sources Part B 10(1):361–370

    Google Scholar 

  • Fischer MM (2019) Quantifying the uncertainty of variance partitioning estimates of ecological datasets. Environ Ecol Stat. https://doi.org/10.1007/s10651-019-00431-6

    Article  Google Scholar 

  • Ghosh S, Basu SC, Sengupta PP (2010) Improvement of financial efficiency and cost effectiveness in energy sector: a case study from Indian thermal power plant. In ICEMT 2010–2010 international conference on education and management technology proceedings (512–516)

  • Ghouali S, Guellil MS, Belmokaddem M (2019) Looking over the Horizon 2030: efficiency of renewable energy base plants in Algeria using fuzzy goal programming. In: Hatti M (ed) Smart energy empowerment in smart and resilient cities. Springer, New York, pp 329–337

    Google Scholar 

  • Haddah B, Liazid A, Ferreira P (2017) A multi-criteria approach to rank renewables for the Algerian electricity system. Renew Energy 107(1):462–472

    Google Scholar 

  • Himri Y, Rehman S, Draoui B, Himri S (2008) Wind power potential assessment for three locations in Algeria. Renew Sustain Energy Rev 12(1):2488–2497

    Google Scholar 

  • Ho HP (2019) The supplier selection problem of a manufacturing company using the weighted multi-choice goal programming and MINMAX multi-choice goal programming. Appl Math Model 75(1):819–836

    Google Scholar 

  • Hocine A, Kouaissah N (2019) XOR analytic hierarchy process and its application in the renewable energy sector. Omega. https://doi.org/10.1016/j.omega.2019.06.008

    Article  Google Scholar 

  • Hocine A, Kouaissah N, Bettahar S, Benbouziane M (2018) Optimizing renewable energy portfolios under uncertainty: a multi-segment fuzzy goal programming approach. Renew Energy 129(1):540–552

    Google Scholar 

  • Hocine A, Zheng-Yun Z, Kouaissah N, Der-Chiang L (2020) Weighted-additive fuzzy multi-choice goal programming (WA-FMCGP) for supporting renewable energy site selection decisions. Eur J Operation Res. https://doi.org/10.1016/j.ejor.2020.02.009

    Article  Google Scholar 

  • Hoffmann VH, Trautmann T, Hamprecht J (2009) Regulatory uncertainty: a reason to postpone investments? not necessarily. J Manage Stud 46(7):1227–1253

    Google Scholar 

  • Hussain T, Hassan SB, Chesneau C (2019) A new probability model with application to heavy-tailed hydrological data. Environ Ecol Stat 26(1):127–151

    Google Scholar 

  • Ignizio JP (1985) Introduction to linear goal programming. Sage, Beverly, Hills

    Google Scholar 

  • Jayaraman R, La Torre D, Malik T, Pearson YE (2015) Optimal labor allocation for energy, economic and environmental sustainability in the United Arab Emirates: a goal programming approach. Energy Procedia 75(1):2999–3006

    Google Scholar 

  • Jayaraman R, Colapinto C, Liuzzi D, La Torre D (2017a) Planning sustainable development through a scenario-based stochastic goal programming model. Oper Res Int Journal 17(3):789–805

    Google Scholar 

  • Jayaraman R, Colapinto C, La Torre D, Malik T (2017b) A Weighted Goal Programming model for planning sustainable development applied to Gulf Cooperation Council Countries. Appl Energy 185(1):1931–1939

    Google Scholar 

  • Jones DF, Tamiz M (2010) Practical goal programming. Springer, New York

    Google Scholar 

  • Kouaissah N, Hocine A (2020) Optimizing sustainable and renewable energy portfolios using a fuzzy interval goal programming approach. Comput Ind Eng. https://doi.org/10.1016/j.cie.2020.106448

    Article  Google Scholar 

  • Kraft J, Kraft A (1978) On the relationship between energy and GNP. J Energy Dev 3(2):401–403

    Google Scholar 

  • Kwak NK, Lee CW, Kim JH (2005) An MCDM model for media selection in the dual consumer/industrial market. Eur J Operation Res 166(1):255–265

    Google Scholar 

  • Lai YJ, Hwang CL (1994) Fuzzy multiple objective decision making: methods and applications. Lecture notes in economies and mathematical systems. Springer, New York

    Google Scholar 

  • Lee SM (1972) Goal programming for decision analysis. Auerbach, Philadelphia

    Google Scholar 

  • Lee CF, Lin SJ, Lewis C (2008) Analysis of the impacts of combining carbon taxation and emission trading on different industry sectors. Energy Policy 36(2):722–729

    Google Scholar 

  • Mirzaee H, Naderi B, Pasandideh SHR (2018) A preemptive fuzzy goal programming model for generalized supplier selection and order allocation with incremental discount. Comput Ind Eng 122(1):292–302

    Google Scholar 

  • Moravcsik MJ (1984) Life in a multidimensional world. Scientometrics 6(2):75–86

    Google Scholar 

  • Mouslim H, Belmokaddem M, Benbouziane M, Melloul S (2014) A fuzzy goal programming formulation with multiple target levels. J Multi Crit Decis Anal 21(3–4):223–235

    Google Scholar 

  • Mrabet Z, AlSamara M, Jarallah SH (2017) The impact of economic development on environmental degradation in Qatar. Environ Ecol Stat 24:7–38

    CAS  Google Scholar 

  • Narasimhan R (1980) Goal programming in a fuzzy environment. Decision Sci 11(2):325–336

    Google Scholar 

  • Narasimhan V, Huang RYM, Burns CM (1981) Effect of concentration and second polymer on elution volumes in gel permeation chromatography. J Appl Polym Sci 26(4):1295–1300

    CAS  Google Scholar 

  • NREAP (2017) National Renewable Energy Action Plan (NREAP). Available at https://www.iea.org/policies/4838-national-renewable-energy-action-plannreap

  • Oliviera C, Coelho D, Antunes CH (2014) Coupling input-output analysis with multiobjective linear programming models for the study of economy-energy-environment-social (e3s) trade-offs: a review. Ann Oper Res 247(1):471–502

    Google Scholar 

  • Patro KK, Acharya MM, Acharya S (2018) Multi-choice goal programming approach to solve multi-objective probabilistic programming problem. J Inf Optimization Sci 39(3):607–629

    Google Scholar 

  • Romero C (1991) A handbook of critical issues in goal programming. Pergamon Press, Oxford

    Google Scholar 

  • San Cristóbal JR (2012) A goal programming model for the optimal mix and location of renewable energy plants in the north of Spain. Renew Sustain Energy Rev 16(1):4461–4464

    Google Scholar 

  • Schrage L (2009) Optimization modelling with LINGO. Lindo Syst Inc., Chicago

    Google Scholar 

  • Silva AFD, Marins FAS, Montevechi JAB (2013) Multi-choice mixed integer goal programming optimization for real problems in a sugar and ethanol milling company. Appl Math Model 37(1):6146–6162

    Google Scholar 

  • Stern DI (2004) Economic growth and energy. In: Cutler J (ed) Encyclopedia of energy: 2. Elsevier Cleveland, Philadelphia

    Google Scholar 

  • Stock GN, Tatikonda MV (2008) The joint influence of technology uncertainty and interorganizational interaction on external technology integration success. J Operations Manag 26:65–80

    Google Scholar 

  • Tabrizi BB, Shahanaghi K, Jabalameli MS (2012) Fuzzy multi-choice goal programming. Appl Math Model 36(4):1415–1420

    Google Scholar 

  • Tamiz M, Jones D, Romero C (1998) Goal programming for decision making: an overview of the current state-of-the-art. Eur J Operation Res 111(1):569–581

    Google Scholar 

  • Umarusman N (2018) Fuzzy goal programming problem based on minmax approach for optimal system design. Alphanumeric J 6(1):177–192

    Google Scholar 

  • Vakulchuk R, Overland I, Scholten D (2020) Renewable energy and geopolitics: a review. Renew Sustain Energy Rev. https://doi.org/10.1016/j.rser.2019.109547

    Article  Google Scholar 

  • World Commission for Environment and Development (WCED) (1987) Our common future. Oxford University Press, Oxford

    Google Scholar 

  • Yaghoobi MA, Tamiz M (2007) A method for solving fuzzy goal programming problems based on MINMAX approach. Eur J Operation Res 177(1):1580–1590

    Google Scholar 

  • Yaghoobi MA, Jones DF, Tamiz M (2008) Weighted additive models for solving fuzzy goal programming problems. Asia PacJ Operational Res 25(5):715–733

    Google Scholar 

  • Yu S, Zhou S, Zheng S, Li Z, Liu L (2019) Developing an optimal renewable electricity generation mix for China using a fuzzy multi-objective approach. Renew Energy 139(1):1086–1098

    Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8(1):338–353

    Google Scholar 

  • Zamanian MR, Sadeh E, Sabegh ZA, Rasi RE (2019) A fuzzy goal-programming model for optimization of sustainable supply chain by focusing on the environmental and economic costs and revenue: a case study. Adv Math Finance Appl 4(1):103–123

    Google Scholar 

  • Zhuang ZY, Hocine A (2018) Meta goal programing approach for solving multi-criteria de Novo programing problem. Eur J Operation Res 265(1):228–238

    Google Scholar 

  • Zimmermann HJ (1978) Fuzzy programming and linear programming with several objective functions. Fuzzy Sets Syst 1(1):45–55

    Google Scholar 

  • Zografidou E, Petridis K, Arabatzis G, Dey PK (2016) Optimal design of the renewable energy map of Greece using weighted goal-programming and data envelopment analysis. Comput Oper Res 66(1):313–326

    Google Scholar 

  • Zografidou E, Petridis K, Petridis NE, Arabatzis G (2017) A financial approach to renewable energy production in Greece using goal programming. Renew Energy 108(1):37–51

    Google Scholar 

Download references

Acknowledgements

We would like to thank the editor-in-chief and the two referees for constructive criticism and numerous suggestions which have led to substantial improvements in the paper.

Author information

Authors and Affiliations

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

    Amin Hocine & Noureddine Kouaissah

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

    Mohammed Seghir Guellil

  3. Department of Economics, Abdullah Gul University, Kayseri, Turkey

    Eyup Dogan

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

    Samir Ghouali

Authors
  1. Amin Hocine
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mohammed Seghir Guellil
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Eyup Dogan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Samir Ghouali
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Noureddine Kouaissah
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Eyup Dogan.

Additional information

Handling Editor: Pierre Dutilleul.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hocine, A., Guellil, M.S., Dogan, E. et al. A fuzzy goal programming with interval target model and its application to the decision problem of renewable energy planning. Environ Ecol Stat 27, 527–547 (2020). https://doi.org/10.1007/s10651-020-00457-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10651-020-00457-1

Keywords

Search

Navigation