Picture fuzzy multi-criteria group decision-making method to hotel building energy efficiency retrofit project selection
RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 1, pp. 211-229.

Building energy consumption accounts for a considerable proportion on energy consumption. To reduce building energy consumption, building energy efficiency retrofitting (BEER) based on Energy Performance Contracting mechanism is the most feasible and cost-effective method. With the increase number of BEER projects, BEER project selection has become an essential problem for energy service companies. In this paper, a multi-criteria group decision-making (MCGDM) method is proposed to deal with BEER project selection problem. First, picture fuzzy sets are employed to describe the evaluation information under the complex and uncertain environment. Subsequently, picture fuzzy weighted average operator and Laplace distribution-picture fuzzy order weighted average operator are proposed based on convex combination to aggregate individual evaluations into the overall evaluations. Furthermore, picture fuzzy TOPSIS-based QUALIFLEX method is developed to identify the optimal ranking of alternatives. Moreover, the practicality, effectiveness and advantages of the proposed MCGDM method are illustrated using a case study of hotel BEER project selection and comparative analysis. Finally, conclusions about primary contributions, and future discussions of the proposed method are demonstrated.

Reçu le :
Accepté le :
Première publication :
Publié le :
DOI : 10.1051/ro/2019004
Classification : 62C86
Mots-clés : Multi-criteria group decision-making, Picture fuzzy sets, TOPISIS-QUALIFLEX, Laplace distribution-picture fuzzy order weighted average, Hotel building energy efficiency retrofit 
@article{RO_2020__54_1_211_0,
     author = {Wang, Le and Zhang, Hong-Yu and Wang, Jian-Qiang and Wu, Guo-Fang},
     title = {Picture fuzzy multi-criteria group decision-making method to hotel building energy efficiency retrofit project selection},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {211--229},
     publisher = {EDP-Sciences},
     volume = {54},
     number = {1},
     year = {2020},
     doi = {10.1051/ro/2019004},
     mrnumber = {4061512},
     zbl = {1439.62053},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/ro/2019004/}
}
TY  - JOUR
AU  - Wang, Le
AU  - Zhang, Hong-Yu
AU  - Wang, Jian-Qiang
AU  - Wu, Guo-Fang
TI  - Picture fuzzy multi-criteria group decision-making method to hotel building energy efficiency retrofit project selection
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 2020
SP  - 211
EP  - 229
VL  - 54
IS  - 1
PB  - EDP-Sciences
UR  - http://archive.numdam.org/articles/10.1051/ro/2019004/
DO  - 10.1051/ro/2019004
LA  - en
ID  - RO_2020__54_1_211_0
ER  - 
%0 Journal Article
%A Wang, Le
%A Zhang, Hong-Yu
%A Wang, Jian-Qiang
%A Wu, Guo-Fang
%T Picture fuzzy multi-criteria group decision-making method to hotel building energy efficiency retrofit project selection
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 2020
%P 211-229
%V 54
%N 1
%I EDP-Sciences
%U http://archive.numdam.org/articles/10.1051/ro/2019004/
%R 10.1051/ro/2019004
%G en
%F RO_2020__54_1_211_0
Wang, Le; Zhang, Hong-Yu; Wang, Jian-Qiang; Wu, Guo-Fang. Picture fuzzy multi-criteria group decision-making method to hotel building energy efficiency retrofit project selection. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 1, pp. 211-229. doi : 10.1051/ro/2019004. http://archive.numdam.org/articles/10.1051/ro/2019004/

[1] K.T. Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets Syst. 21 (1986) 87–96. | DOI | MR | Zbl

[2] C.T. Chen, C.T. Lin and S.F. Huang, A fuzzy approach for supplier evaluation and selection in supply chain management. Int. J. Product. Econ. 102 (2006) 289–301. | DOI

[3] J. Chiang, Fuzzy linear programming based on statistical conidence interval and interval-valued fuzzy set. Eur. J. Oper. Res. 129 (2001) 65–86. | DOI | MR | Zbl

[4] T. Cholewa and A. Siuta-Olcha, Long term experimental evaluation of the influence of heat cost allocators on energy consumption in a multifamily building. Energy Build. 104 (2015) 122–130. | DOI

[5] T.H. Christensen, K. Gramhanssen, M.D. Bestwaldhober and A. Adjei, Energy retrofits of Danish homes: is the Energy Performance Certificate useful?. Build. Res. Inf. 42 (2014) 489–500. | DOI

[6] B.C. Cuong and V. Kreinovich, Picture fuzzy sets. J. Comput. Sci. Cybern. 30 (2014) 409–420.

[7] P. D’Urso, R. Massari, L.D. Giovanni and C. Cappelli, Exponential distance-based fuzzy clustering for interval-valued data. Fuzzy Optim. Decis. Making 16 (2017) 51–70. | DOI | MR | Zbl

[8] M. Delgado, J.L. Verdegay and M.A. Vila, On aggregation operations of linguistic labels, Int. J. Intell. Syst. 8 (2010) 351–370. | DOI | Zbl

[9] A. Emrouznejad and M. Marra, Ordered weighted averaging operators 1988–2014: a citation-based literature survey. Int. J. Intell. Syst. 29 (2015) 994–1014. | DOI

[10] M. Gilberto and V.W. Detlof, Cognitive and motivational biases in decision and risk analysis. Risk Anal. Official Publ. Soc. Risk Anal. 35 (2015) 1230–1251. | DOI

[11] A. Hatami-Marbini and F. Kangi, An extension of fuzzy TOPSIS for a group decision making with an application to Tehran stock exchange. Appl. Soft Comput. 52 (2017) 1084–1097. | DOI

[12] J. Hou, Y. Liu, Y. Wu, N. Zhou and W. Feng, Comparative study of commercial building energy-efficiency retrofit policies in four pilot cities in China. Energy Policy 88 (2016) 204–215. | DOI

[13] A. Jafari and V. Valentin, An optimization framework for building energy retrofits decision-making. Build. Environ. 115 (2017) 118–129. | DOI

[14] P. Ji, H.Y. Zhang and J.Q. Wang, A fuzzy decision support model with sentiment analysis for items comparison in e-commerce: the case study of PConline.com. IEEE Transactions on Systems, Man, and Cybernetics: Systems 49 (2019) 1993–2004. | DOI

[15] M. Krarti, Evaluation of large scale building energy efficiency retrofit program in Kuwait. Renew. Sust. Energy Rev. 50 (2015) 1069–1080. | DOI

[16] H.S. Le, Generalized picture distance measure and applications to picture fuzzy clustering. Appl. Soft Comput. 46 (2016) 284–295. | DOI

[17] H.S. Le, Measuring analogousness in picture fuzzy sets: from picture distance measures to picture association measures. Fuzzy Optim. Decis. Making 16 (2017) 359–378. | DOI | MR | Zbl

[18] J. Li and J.Q. Wang, An extended QUALIFLEX method under probability hesitant fuzzy environment for selecting green suppliers. Int. J. Fuzzy Syst. 19 (2017) 1866–1879. | DOI | MR

[19] P. Liu and Y. Wang, Interval neutrosophic prioritized OWA operator and its application to multiple attribute decision making. J. Syst. Sci. Complexity 29 (2016) 681–697. | DOI | Zbl

[20] M. Lu, G. Wei, F.E. Alsaadi, T. Hayat and A. Alsaedi, Hesitant pythagorean fuzzy hamacher aggregation operators and their application to multiple attribute decision making. J. Intell. Fuzzy Syst. 33 (2017) 1105–1117. | DOI | Zbl

[21] A.J. Mcneil, The Laplace Distribution and generalizations: a revisit with applications to communications, economics, engineering, and finance. J. R. Stat. Soc. 97 (2001) 1210–1211.

[22] E.A. Mohammed, C.T. Naugler and B.H. Far, Breast tumor classification using a new OWA operator. Expert Syst. App. 61 (2016) 302–313. | DOI

[23] G. Montibeller and D.V. Winterfeldt, Biases and debiasing in multi-criteria decision analysis. In: Hawaii International Conference on System Sciences (2015), 1218–1226.

[24] R.X. Nie, J.Q. Wang and T.L. Wang, A hybrid outranking method for greenhouse gas emissions institution selection with picture 2-tuple linguistic information. Comput. Appl. Math. 37 (2018) 6676–6699. | DOI | MR | Zbl

[25] H.G. Peng and J.Q. Wang, Outranking decision-making method with Z-number cognitive information. Cognitive Comput. 10 (2018) 752–768. | DOI

[26] H.G. Peng, X.K. Wang, T.L. Wang and J.Q. Wang, Multi-criteria game model based on the pairwise comparisons of strategies with Z-numbers. Appl. Soft Comput. 74 (2019) 451–465. | DOI

[27] H.G. Peng, H.Y. Zhang and J.Q. Wang, Probability multi-valued neutrosophic sets and its application in multi-criteria group decision-making problems. Neural Comput. App. 30 (2018) 563–583. | DOI

[28] O. Reimann, C. Schumacher and R. Vetschera, How well does the OWA operator represent real preferences? Eur. J. Oper. Res. 258 (2017) 993–1003. | DOI | MR | Zbl

[29] G.I. Sayed, M.A. Ali, T. Gaber, A.E. Hassanien and V. Snasel, A hybrid segmentation approach based on Neutrosophic sets and modified watershed: a case of abdominal CT Liver parenchyma. In: Computer Engineering Conference (2016) 144–149.

[30] G. Selvachandran, P.K. Maji, R.Q. Faisal and A.R. Salleh, Distance and distance induced intuitionistic entropy of generalized intuitionistic fuzzy soft sets. Appl. Intell. 47 (2017) 132–147. | DOI

[31] A.S. Solmaz, F.H. Halicioglu and S. Gunhan, An approach for making optimal decisions in building energy efficiency retrofit projects. Indoor Built Environ. 27 (2018) 348–368. | DOI

[32] Z.P. Tian, J. Wang, J.Q. Wang and H.Y. Zhang, A likelihood-based qualitative flexible approach with hesitant fuzzy linguistic information. Cognitive Comput. 8 (2016) 670–683. | DOI

[33] Z.P. Tian, J. Wang, J.Q. Wang and H.Y. Zhang, Simplified neutrosophic linguistic multi-criteria group decision-making approach to green product development. Group Decis. Negotiation 26 (2017) 597–627. | DOI

[34] C. Wang, X. Zhou, H. Tu and S. Tao, Some geometric aggregation operators based on picture sets and their application in multiple attribute decision making. Ital. J. Pure Appl. Math. 37 (2017) 477–492. | MR | Zbl

[35] J. Wang, J.Q. Wang, Z.P. Tian and D.Y. Zhao, A multi-hesitant fuzzy linguistic multi-criteria decision-making approach for logistics outsourcing with incomplete weight information. Int. Trans. Oper. Res. 25 (2018) 831–856. | DOI | MR | Zbl

[36] J.C. Wang, C.Y. Tsao and T.Y. Chen, A likelihood-based QUALIFLEX method with interval type-2 fuzzy sets for multiple criteria decision analysis. Soft Comput. 19 (2015) 2225–2243. | DOI

[37] L. Wang, J.J. Peng and J.Q. Wang, A multi-criteria decision-making framework for risk ranking of energy performance contracting project under picture fuzzy environment. J. Cleaner Product. 191 (2018) 105–118. | DOI

[38] L. Wang, H.Y. Zhang, J.Q. Wang and L. Li, Picture fuzzy normalized projection-based VIKOR method for the risk evaluation of construction project. Appl. Soft Comput. 64 (2018) 216–226. | DOI

[39] X.K. Wang, J.Q. Wang and H.Y. Zhang, Distance-based multi-criteria group decision-making approach with probabilistic linguistic term sets. Expert Syst. 36 (2019) e12352. | DOI

[40] Y. Wang, J.Q. Wang and T.L. Wang, Fuzzy stochastic multi-criteria decision-making methods with interval neutrosophic probability based on regret theory. J. Intell. Fuzzy Syst. 35 (2018) 2309–2322. | DOI

[41] C. Wei, N. Zhao and X. Tang, Operators and comparisons of hesitant fuzzy linguistic term sets. IEEE Trans. Fuzzy Syst. 22 (2014) 575–585. | DOI

[42] G. Wei, Interval valued hesitant fuzzy uncertain linguistic aggregation operators in multiple attribute decision making. Int. J. Mach. Learn. Cybern. 7 (2016) 1093–1114. | DOI

[43] G. Wei, Picture fuzzy cross-entropy for multiple attribute decision making problems. J. Bus. Econ. Manage. 17 (2016) 491–502. | DOI

[44] G. Wei, Picture fuzzy aggregation operators and their application to multiple attribute decision making. J. Intell. Fuzzy Syst. 33 (2017) 713–724. | DOI | Zbl

[45] G. Wei, Picture 2-tuple linguistic Bonferroni mean operators and their application to multiple attribute decision making. Int. J. Fuzzy Syst. 19 (2017) 997–1010. | DOI | MR

[46] G. Wei, F.E. Alsaadi, T. Hayat and A. Alsaedi, A linear assignment method for multiple criteria decision analysis with hesitant fuzzy sets based on fuzzy measure. Int. J. Fuzzy Syst. 19 (2017) 607–614. | DOI | MR

[47] G. Wei, F.E. Alsaadi, T. Hayat and A. Alsaedi, Picture 2-tuple linguistic aggregation operators in multiple attribute decision making. Soft Comput. 22 (2018) 989–1002. | DOI | Zbl

[48] G. Wei, F.E. Alsaadi, T. Hayat and A. Alsaedi, Projection models for multiple attribute decision making with picture fuzzy information. Int. J. Mach. Learn. Cybern. 9 (2018) 713–719. | DOI

[49] G. Wei, M. Lu, F.E. Alsaadi, T. Hayat and A. Alsaedi, Pythagorean 2-tuple linguistic aggregation operators in multiple attribute decision making. J. Intell. Fuzzy Syst. 33 (2017) 1129–1142. | DOI | Zbl

[50] J. Wu, A SD-IITFOWA operator and TOPSIS based approach for MAGDM problems with intuitionistic trapezoidal fuzzy numbers. Technol. Econ. Dev. Econ. 21 (2015) 28–47. | DOI

[51] Z. Wu, B. Wang and X. Xia, Large-scale building energy efficiency retrofit: concept, model and control. Energy 109 (2016) 456–465. | DOI

[52] S. Xian, J. Zhang and W. Xue, Fuzzy linguistic induced generalized OWA qperator and its application in fuzzy linguistic decision making. Int. J. Intell. Syst. 31 (2016) 749–762. | DOI

[53] P. Xu and E.H.W. Chan, ANP model for sustainable Building Energy Efficiency Retrofit (BEER): using Energy Performance Contracting (EPC) for hotel buildings in China. Habitat Int. 37 (2013) 104–112. | DOI

[54] P. Xu, E.H.W. Chan, H.J. Visscher, X. Zhang and Z. Wu, Sustainable building energy efficiency retrofit for hotel buildings using EPC mechanism in China: analytic Network Process (ANP) approach. J. Cleaner Product. 107 (2015) 378–388. | DOI

[55] R.R. Yager, On ordered weighted averaging aggregation operators in multicriteria decisionmaking. IEEE Trans. Syst. Man Cybern. 18 (1988) 183–190. | DOI | MR | Zbl

[56] S.M. Yu, J. Wang and J.Q. Wang, An extended TODIM approach with intuitionistic linguistic numbers. Int. Trans. Oper. Res. 25 (2018) 781–805. | DOI | MR | Zbl

[57] L.A. Zadeh, Fuzzy sets. Inf. Control 8 (1965) 338–353. | DOI | MR | Zbl

[58] X.Y. Zhang, X.K. Wang, S.M. Yu, J.Q. Wang and T.L. Wang, Location selection of offshore wind power station by consensus decision framework using picture fuzzy modelling. J. Cleaner Product. 202 (2018) 980–992. | DOI

[59] W. Zhou, W. Huang and S.X. Zhou, Energy performance contracting in a competitive environment. Decis. Sci. 48 (2017) 723–765. | DOI

Cité par Sources :