[go: up one dir, main page]
Skip to main content

Advertisement

SpringerLink
Log in

An Extended PROMETHE II Multi-Criteria Group Decision Making Technique Based on Intuitionistic Fuzzy Logic for Sustainable Energy Planning

  • Published:
Group Decision and Negotiation Aims and scope Submit manuscript

Abstract

The implementations of Preference Ranking Organization Method for Enrichment Evaluation (PROMETHEE) category to complex multi-criteria group decision making (MCGDM) scenarios have been included in thousands areas. Outranking methods such as PROMETHEE II are also greatly employed in energy planning application. In MCGDM methods if decision makers (DMs) are not able to treat precise data in order to define their preferences, the intuitionistic fuzzy set (IFS) theory enables them. IFS attributes are connected with the degree of membership and non-membership, and can be used to draw uncertainty in group decision-making situations. In this paper, a new version of the PROMETHEE II method is proposed, aiming at solving MCGDM problems. Linguistic variables are expressed in the membership function and non-membership function of IFS which are used to assess the weights of all criteria and the ratings of each alternative with respect to each criteria. Conditional normalized Euclidean distance measure is adopted to measure deviations between alternatives on intuitionistic fuzzy set. Then, a ranking algorithm is applied to indicate the order of superiority of alternatives. Finally, a practical example is given to an application of sustainable energy planning to verify our proposed method. Additionally, a comparative analysis is done among the proposed PROMETHEE II method and the intuitionistic fuzzy technique for order preference by similarity to ideal solution (IF-TOPSIS) method and elimination and choice translating reality method (IF-ELECTRE).

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Similar content being viewed by others

References

  • Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96

    Article  Google Scholar 

  • Atanassov K (1999) Intuitionistic fuzzy sets. Springer, Heidelberg

    Book  Google Scholar 

  • Behzadian M, Kazemzadeh R, Albadvi A, Aghdasi M (2010) PROMETHEE: a comprehensive literature review on methodologies and applications. Eur J Oper Res 200:198–215

    Article  Google Scholar 

  • Boran F, Genc S, Kurt M, Akay D (2009) A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Syst Appl 36:11363–11368

    Article  Google Scholar 

  • Brans J (1982) L’ingénièrie de la décision; Elaboration d’instruments d’aide à la décision.La méthode PROMETHEE. Québec, Canada, Presses de l’Université Laval, pp 183–214

  • Brans J, Mareschal B, Vincke P (1984) PROMETHEE: a new family of outranking methods in MCDM. In: IFORS 84. North Holland, pp 477–490

  • Cavallaro F, Ciraolo L (2013) Sustainability assessment of solar technologies based on linguistic information. In: Cavallaro F (ed) Assessment and simulation tools for sustainable energy systems. Springer, London, pp 3–25

    Chapter  Google Scholar 

  • Chen Z, Yang W (2011) A new multiple attribute group decision making method in intuitionistic fuzzy setting. Appl Math Model 35:4424–4437

    Article  Google Scholar 

  • Chou T, Lin W, Lin C, Chou W (2007) Application of fuzzy theory and PROMETHEE technique to evaluate suitable ecotechnology method: a case study in Shihmen reservoir watershed, Taiwan. Ecol Eng 31:269–280

    Article  Google Scholar 

  • Cristóbal JS (2011) Multi-criteria decision-making in the selection of a renewable energy project in spain: the Vikor method. Renew Energy 36:498–502

    Article  Google Scholar 

  • Devi K (2011) Extension of VIKOR method in intuitionistic fuzzy environment for robot selection. Expert Syst Appl 38(38):14163–14168

    Google Scholar 

  • Diakoulaki D, Karangelis F (2007) Multi-criteria decision analysis and cost-benefit analysis of alternative scenarios for the power generation sector in Greece. Renew Sustain Energy Rev 11:716–727

    Article  Google Scholar 

  • Fernández-Castro A, Jiménez M (2005) PROMETHEE: An extension through fuzzy mathematical programming. J Oper Res Soc 56:119–122

    Article  Google Scholar 

  • Goumas M, Lygerou V (2000) An extension of the PROMETHEE method for decision-making in fuzzy environment: ranking of alternative energy exploitation projects. Eur J Oper Res 123:606–613

    Article  Google Scholar 

  • Grzegorzewski P (2004) Distances between intuitionistic fuzzy sets and/or interval valued fuzzy sets based on the Hausdorff metric. Fuzzy Sets Syst 148:319–328

    Article  Google Scholar 

  • Haralambopoulos D, Polatidis H (2003) Renewable energy projects: structuring a multi-criteria group decision-making framework. Renew Energy 28:961–973

    Article  Google Scholar 

  • Hyde K, Maier H, Colby C (2003) Incorporating uncertainty in the PROMETHEE MCDA method. J Multi-Criteria Decis Anal 12:245–259

    Article  Google Scholar 

  • Kaya T, Kahraman C (2010) Multicriteria renewable energy planning using an integrated fuzzy VIKOR & AHP methodology: the case of Istanbul. Energy 35:2517–2527

    Article  Google Scholar 

  • Kaya T, Kahraman C (2011) Multicriteria decision making in energy planning using a modified fuzzy TOPSIS methodology. Expert Syst Appl 38:6577–6588

    Article  Google Scholar 

  • Krohling R, Pacheco A, Siviero A (2013) IF-TODIM: an intuitionistic fuzzy TODIM to multi-criteria decision making. Knowl-Based Syst. doi:10.1016/j.knosys.2013.08.028

  • Kuo M, Tzeng G, Huang W (2007) Group decision-making based on concepts of ideal and anti-ideal points in a fuzzy environment. Math Comput Model 45:324–339

    Article  Google Scholar 

  • Lakshmana Gomathi Nayagam V, Muralikrishnan S, Sivaraman G (2011) Multi-criteria decision-making method based on interval-valued intuitionistic fuzzy sets. Expert Syst Appl 38:1464–1467

    Article  Google Scholar 

  • Le Téno J, Mareschal B (1998) An interval version of PROMETHEE for the comparison of building products’ design with ill-defined data on environmental quality. Eur J Oper Res 109:522–529

    Article  Google Scholar 

  • Liao H, Xu Z (2014) Multi-criteria decision making with intuitionistic fuzzy PROMETHEE. J Intell Fuzzy Syst. doi:10.3233/IFS-141137

  • Li D (2005) Multiattribute decision making models and methods using intuitionistic fuzzy sets. J Comput Syst Sci 70:73–85

    Article  Google Scholar 

  • Liu H-W, Wang G-J (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 179:220–233

    Article  Google Scholar 

  • Li W, Li B (2010) An extension of the Promethee II method based on generalized fuzzy numbers. Expert Syst Appl 37:5314–5319

    Article  Google Scholar 

  • Meier K (1997) Methods for decision making with cardinal numbers and additive aggregation. Fuzzy Sets Syst 88:135–159

    Article  Google Scholar 

  • Park J, Cho H, Hwang J, Kwun Y (2010) Extension of the VIKOR method to dynamic intuitionistic fuzzy multiple attribute decision making. In: Proceedings of the 3rd IEEE international workshop on advanced computational intelligence, pp 189–195

  • Pohekar S, Ramachandran M (2004a) Application of multi-criteria decision making to sustainable energy planning—a review. Renew Sustain Energy Rev 8:365–381

    Article  Google Scholar 

  • Pohekar S, Ramachandran M (2004b) Multi-criteria evaluation of cooking energy alternatives for promoting parabolic solar cooker in India. Renew Energy 29:1449–1460

    Article  Google Scholar 

  • Pušnik M, Sucic B (2014) Integrated and realistic approach to energy planning—a case study of Slovenia. Manag Environ Qual: Int J 25:30–51

    Article  Google Scholar 

  • Radojevic D, Petrovic S (1997) A fuzzy approach to preference structure in multicriteria ranking. Int Trans Oper Res 4:419–430

    Article  Google Scholar 

  • Roostaee R, Izadikhah M, Hosseinzadeh Lotfi F, Rostamy-Malkhalifeh M (2012) A multi-criteria intuitionistic fuzzy group decision making method for supplier selection with VIKOR method. Int J Fuzzy Syst Appl 2:1–17

    Article  Google Scholar 

  • Sadiq R, Tesfamariam S (2009) Environmental decision-making under uncertainty using intuitionistic fuzzy analytic hierarchy process (IF-AHP). Stoch Environ Res Risk Assess 23:75–91

    Article  Google Scholar 

  • Shu M, Cheng C, Chang J (2006) Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly. Microelectron Reliab 36:2139–2148

    Article  Google Scholar 

  • Szmidt E, Kacprzyk J (2000) Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst 114:505–518

    Article  Google Scholar 

  • Tsoutsos T et al (2009) Sustainable energy planning by using multi-criteria analysis application in the island of Crete. Energy Policy 37:1587–1600

    Article  Google Scholar 

  • Tuzkaya G, Gülsün B, Kahraman C, Özgen D (2010) An integrated fuzzy multi-criteria decision making methodology for material handling equipment selection problem and an application. Expert Syst Appl 37:2853–2863

    Article  Google Scholar 

  • Tzeng G, Shiau T, Lin C (1992) Application of multicriteria decision making to the evaluation of new energy system development in Taiwan. Energy (Oxford) 17:983–992

    Article  Google Scholar 

  • Vahdani B, Mousavi S, Tavakkoli-Moghaddam R, Hashemi H (2013) A new design of the elimination and choice translating reality method for multi-criteria group decision-making in an intuitionistic fuzzy environment. Appl Math Model 37:1781–1799

    Article  Google Scholar 

  • Vincke P, Brans J (1985) A preference ranking organization method. The PROMETHEE method for MCDM. Manage Sci 31:641–656

    Google Scholar 

  • Wang J-Q, Han Z-Q, Zhang H (2012) Multi-criteria Group Decision-Making Method Based on Intuitionistic Interval Fuzzy Information. Group Decis Negot. doi:10.1007/s10726-012-9316-4

  • Wang J-J, Jing Y-Y, Zhang C-F, Zhao J-H (2009) Review on multi-criteria decision analysis aid in sustainable energy decision-making. Renew Sustain Energy Rev 13:2263–2278

    Article  Google Scholar 

  • Wu J, Huang H-B, Cao Q-W (2013) Research on AHP with interval-valued intuitionistic fuzzy sets and its application in multi-criteria decision making problems. Appl Math Model. doi:10.1016/j.apm.2013.05.035

  • Wu M-C, Chen T-Y (2011) The ELECTRE multicriteria analysis approach based on Atanassov’s intuitionistic fuzzy sets. Expert Syst Appl 38:12318–12327

    Article  Google Scholar 

  • Xu Z, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35:417–433

    Article  Google Scholar 

  • Xu Z (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15:1179–1187

  • Yang G, Jen J, Hung K (2012) A novel intuitionistic fuzzy PROMETHEE II approach for military affair outsourcing decision analysis. The International Conference on Business and Information, Sapporo, 3–5 July 2012, pp 1241–1251

  • Yue Z, Jia Y (2013) An application of soft computing technique in group decision making under interval-valued intuitionistic fuzzy environment. Appl Soft Comput 13:2490–2503

    Article  Google Scholar 

  • Zadeh L (1965) Fussy sets. Inf Control 8:338–353

    Article  Google Scholar 

  • Zhang K, Kluck C, Achari G (2009) A comparative approach for ranking contaminated sites based on the risk assessment paradigm using fuzzy PROMETHEE. Environ Manag 44:952–967

    Article  Google Scholar 

  • Zhang S-F, Liu S-Y (2011) A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection. Expert Syst Appl 38:11401–11405

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Industrial Engineering, Faculty of Mechanical and Industrial Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran

    Mahsa Montajabiha

Authors
  1. Mahsa Montajabiha
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mahsa Montajabiha.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Montajabiha, M. An Extended PROMETHE II Multi-Criteria Group Decision Making Technique Based on Intuitionistic Fuzzy Logic for Sustainable Energy Planning. Group Decis Negot 25, 221–244 (2016). https://doi.org/10.1007/s10726-015-9440-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10726-015-9440-z

Keywords

Search

Navigation