EVALUATE PUBLIC-PRIVATE-PARTNERSHIP’S ADVANCEMENT USING DOUBLE HIERARCHY HESITANT FUZZY LINGUISTIC PROMETHEE WITH SUBJECTIVE AND OBJECTIVE INFORMATION FROM STAKEHOLDER PERSPECTIVE

Public-Private-Partnership (PPP) as an efficient mode to provide public services through the government and social capital’s cooperation has been in China for more than 30 years. In this paper, we propose an approach to evaluate PPP’s advancement in different areas based on the subjective and objective information fusion. At first, we establish an index system from the perspective of the stakeholder. Then, considering that double hierarchy hesitant fuzzy linguistic term set (DHHFLTS) that has two hierarchies of linguistic term sets can describe the subjective linguistic information more accurately, it is applied in the paper to depict the subjective information. By applying the entropy of the DHHFLTS, a programming model is proposed to derive the attribute weight through combining subjective evaluation with objective data. In addition, we develop the double hierarchy hesitant fuzzy linguistic PROMETHEE combining the subjective and objective information (DHHFL-PROMETHEE-S&O) method. At last, we illustrate the index system and the method with the PPP’s advancement evaluation problem, and we can find the best choice based on the ranking result. Meanwhile, we also find that the objective information and the subjective information are complementary in the evaluation process. First published online 20 March 2019

[1]  Geoffrey Finch,et al.  Linguistic terms and concepts , 1999 .

[2]  Y. Kwak,et al.  Towards a Comprehensive Understanding of Public Private Partnerships for Infrastructure Development , 2009 .

[3]  Habib Chabchoub,et al.  PROMETHEE-MD-2T method for project selection , 2009, Eur. J. Oper. Res..

[4]  Francisco Herrera,et al.  Double hierarchy hesitant fuzzy linguistic term set and MULTIMOORA method: A case of study to evaluate the implementation status of haze controlling measures , 2017, Inf. Fusion.

[5]  B. Sennaroglu,et al.  A military airport location selection by AHP integrated PROMETHEE and VIKOR methods , 2018 .

[6]  Hsu-Shih Shih,et al.  A Generalized PROMETHEE III with Risk Preferences on Losses and Gains , 2016 .

[7]  Jiu-Lun Fan,et al.  Some new fuzzy entropy formulas , 2002, Fuzzy Sets Syst..

[8]  Zhi-Ping Fan,et al.  A Subjective and Objective Synthetic Method for Multiple Attribute Decision Making , 1996 .

[9]  Jennifer M. Brinkerhoff,et al.  Public–private partnerships: Perspectives on purposes, publicness, and good governance , 2011 .

[10]  Q. Shen,et al.  A review of studies on Public–Private Partnership projects in the construction industry , 2010 .

[11]  Fereidoon Perry Sioshansi,et al.  Subjective evaluation using expert judgment: An application , 1983, IEEE Transactions on Systems, Man, and Cybernetics.

[12]  Wei-xiang Li,et al.  An extension of the Promethee II method based on generalized fuzzy numbers , 2009, 2009 IEEE International Conference on Grey Systems and Intelligent Services (GSIS 2009).

[13]  Shuo-Yan Chou,et al.  A fuzzy simple additive weighting system under group decision-making for facility location selection with objective/subjective attributes , 2008, Eur. J. Oper. Res..

[14]  J. Herniter.  An entropy model of brand purchase behavior , 1973 .

[15]  Guo Xiao-zhi.  Some new generalized entropy formulas of fuzzy sets , 2006 .

[16]  Ronald R. Yager,et al.  Measures of Entropy and Fuzziness Related to Aggregation Operators , 1995, Inf. Sci..

[17]  Zeshui Xu,et al.  A Subjective and Objective Integrated Method for MAGDM Problems with Multiple Types of Exact Preference Formats , 2007, IDEAL.

[18]  Toshikazu Kato,et al.  Development of a recommendation system with multiple subjective evaluation process models , 2003, Proceedings. 2003 International Conference on Cyberworlds.

[19]  Ronald R. Yager,et al.  Multicriteria Decision Making With Ordinal/Linguistic Intuitionistic Fuzzy Sets For Mobile Apps , 2016, IEEE Transactions on Fuzzy Systems.

[20]  Li Bo,et al.  A multi-attribute decision method combining subjective and objective information , 2013, 2013 International Conference on Management Science and Engineering 20th Annual Conference Proceedings.

[21]  A. Hope,et al.  Review of studies on the public–private partnerships (PPP) for infrastructure projects , 2018, International Journal of Project Management.

[22]  R. V. Rao,et al.  A subjective and objective integrated multiple attribute decision making method for material selection , 2010 .

[23]  Optimization of Aeration and Agitation Rate for Lipid and Gamma Linolenic Acid Production by Cunninghamella bainieri 2A1 in Submerged Fermentation Using Response Surface Methodology , 2014, TheScientificWorldJournal.

[24]  Gopal Achari,et al.  A Comparative Approach for Ranking Contaminated Sites Based on the Risk Assessment Paradigm Using Fuzzy PROMETHEE , 2009, Environmental management.

[25]  Runtong Zhang,et al.  Choquet-based multi-criteria decision making with objective and subjective information , 2016, J. Intell. Fuzzy Syst..

[26]  Nalina Suresh,et al.  Project management with time, cost, and quality considerations , 1996 .

[27]  Jean Pierre Brans,et al.  HOW TO SELECT AND HOW TO RANK PROJECTS: THE PROMETHEE METHOD , 1986 .

[28]  Rui Cunha Marques,et al.  Theoretical Considerations on Quantitative PPP Viability Analysis , 2014 .

[29]  Yanhong Liang,et al.  Key Success Indicators for PPP Projects: Evidence from Hong Kong , 2018, Advances in Civil Engineering.

[30]  Liu Xuecheng,et al.  Entropy, distance measure and similarity measure of fuzzy sets and their relations , 1992 .

[31]  Bertrand Mareschal,et al.  Prométhée: a new family of outranking methods in multicriteria analysis , 1984 .

[32]  Qing-wei Cao,et al.  Research on Hybrid Multiple Attribute Decision-Making Problems Based on Subjective Weight and Objective Weight Integrated , 2009, 2009 International Conference on Management and Service Science.

[33]  L. Zadeh.  Probability measures of Fuzzy events , 1968 .

[34]  Feng kong,et al.  A New Fuzzy MADM Algorithm Based on Subjective and Objective Integrated Weights , 2007, 2007 International Conference on Service Systems and Service Management.

[35]  Mei Hong,et al.  Generalized analytic network process , 2015, Eur. J. Oper. Res..

[36]  Henrikas Sivilevičius,et al.  Decision-Aiding Evaluation of Public Infrastructure for Electric Vehicles in Cities and Resorts of Lithuania , 2018 .

[37]  M. Z. Ahmad,et al.  Hamming Distance Method with Subjective and Objective Weights for Personnel Selection , 2014, TheScientificWorldJournal.

[38]  Valentinas Podvezko,et al.  DEPENDENCE OF MULTI-CRITERIA EVALUATION RESULT ON CHOICE OF PREFERENCE FUNCTIONS AND THEIR PARAMETERS , 2010 .

[39]  Jian Ma,et al.  A subjective and objective integrated approach to determine attribute weights , 1999, Eur. J. Oper. Res..

[40]  Chika J. Amadi,et al.  Stakeholder management in PPP projects: external stakeholders’ perspective , 2018 .

[41]  Cuiping Wei,et al.  Entropy Measures for Extended Hesitant Fuzzy Linguistic Term Sets and Their Applications , 2016 .

[42]  Zeshui Xu,et al.  Hesitant fuzzy entropy and cross‐entropy and their use in multiattribute decision‐making , 2012, Int. J. Intell. Syst..

[43]  Arvind Jayant,et al.  A COMPREHENSIVE LITERATURE REVIEW OF MCDM TECHNIQUES ELECTRE, PROMETHEE, VIKOR AND TOPSIS APPLICATIONS IN BUSINESS COMPETITIVE ENVIRONMENT , 2018 .

[44]  Zeshui Xu,et al.  Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment , 2012, Inf. Fusion.

[45]  Zhongfu Li,et al.  Enhanced Cooperation among Stakeholders in PPP Mega-Infrastructure Projects: A China Study , 2018, Sustainability.