An interval-valued intuitionistic fuzzy DEMATEL method combined with Choquet integral for sustainable solid waste management

Abstract The decision making trial and evaluation laboratory (DEMATEL) is a pragmatic method used to construct the structural correlation of criteria in a multi-criteria decision making (MCDM) problem. This paper proposes modifications to DEMATEL. Different from the typical DEMATEL which utilizes crisp numbers, this modification introduces interval-valued intuitionistic fuzzy numbers to enhance judgements in group decision-making environment. We use the interval-valued intuitionistic fuzzy weighted averaging operator instead of the typical averaging operator to aggregate decision-makers’ preferences. This paper proposes a combination of interval-valued intuitionistic fuzzy numbers, DEMATEL and the Choquet integral to allow a strong interrelationship between the sum of rows and the sum of columns of criteria in structural correlation analysis. The feasibility and applicability of the proposed method is illustrated by a numerical example about sustainable solid waste management. The result indicates that ‘collaboration and synergy’ is the most influential criterion for sustainable solid waste management. Comparative results are presented to show the validity of the proposed method.

[1]  A. Hu,et al.  Using DEMATEL to develop a carbon management model of supplier selection in green supply chain management , 2013 .

[2]  Pei Wang,et al.  Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications , 2011, Inf. Sci..

[3]  Amin Vafadarnikjoo,et al.  Intuitionistic fuzzy based DEMATEL method for developing green practices and performances in a green supply chain , 2015, Expert Syst. Appl..

[4]  Jingzheng Ren,et al.  Waste-to-energy, municipal solid waste treatment, and best available technology: Comprehensive evaluation by an interval-valued fuzzy multi-criteria decision making method , 2018 .

[5]  Beibei Yan,et al.  Environmental, energy, and economic analysis of integrated treatment of municipal solid waste and sewage sludge: A case study in China. , 2019, The Science of the total environment.

[6]  Kannan Govindan,et al.  Evaluating the enablers in solar power developments in the current scenario using fuzzy DEMATEL: An Indian perspective , 2016 .

[7]  Z. Yue Developing a straightforward approach for group decision making based on determining weights of decision makers , 2012 .

[8]  Zeshui Xu,et al.  Multiplicative consistency of interval-valued intuitionistic fuzzy preference relation , 2014, J. Intell. Fuzzy Syst..

[9]  Zeshui Xu,et al.  A survey of approaches to decision making with intuitionistic fuzzy preference relations , 2015, Knowl. Based Syst..

[10]  Seyyed Alireza Mosavi,et al.  Assessing the knowledge, attitude and practice of the kermanshahi women towards reducing, recycling and reusing of municipal solid waste , 2019, Resources, Conservation and Recycling.

[11]  Huchang Liao,et al.  A Bibliometric Analysis of Fuzzy Decision Research During 1970–2015 , 2016, International Journal of Fuzzy Systems.

[12]  Zeshui Xu,et al.  Approaches to manage hesitant fuzzy linguistic information based on the cosine distance and similarity measures for HFLTSs and their application in qualitative decision making , 2015, Expert Syst. Appl..

[13]  K. Atanassov,et al.  Interval-Valued Intuitionistic Fuzzy Sets , 2019, Studies in Fuzziness and Soft Computing.

[14]  Hu-Chen Liu,et al.  A 2-dimension uncertain linguistic DEMATEL method for identifying critical success factors in emergency management , 2018, Appl. Soft Comput..

[15]  Zeshui Xu,et al.  Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets , 2015, Knowl. Based Syst..

[16]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[17]  Marta Herva,et al.  Ranking municipal solid waste treatment alternatives based on ecological footprint and multi-criteria analysis , 2013 .

[18]  M Aghajani Mir,et al.  Application of TOPSIS and VIKOR improved versions in a multi criteria decision analysis to develop an optimized municipal solid waste management model. , 2016, Journal of environmental management.

[19]  Huchang Liao,et al.  Visualization and quantitative research on intuitionistic fuzzy studies , 2016, J. Intell. Fuzzy Syst..

[20]  Volkan Yildirim,et al.  MUNICIPAL SOLID WASTE LANDFILL SITE SELECTION USING MULTI-CRITERIA DECISION MAKING AND GIS: CASE STUDY OF BURSA PROVINCE , 2018, Journal of Environmental Engineering and Landscape Management.

[21]  Michele Fedrizzi,et al.  Modelling group processes and effort estimation in project management using the Choquet integral: An MCDM approach , 2012, Expert Syst. Appl..

[22]  Türkay Dereli,et al.  A novel approach based on DEMATEL method and patent citation analysis for prioritizing a portfolio of investment projects , 2015, Expert Syst. Appl..

[23]  Shyi-Ming Chen,et al.  Multicriteria fuzzy decision making based on interval-valued intuitionistic fuzzy sets , 2012, Expert Syst. Appl..

[24]  Gregory F. Lawler Introduction to Stochastic Processes , 1995 .

[25]  Kannan Govindan,et al.  Interrelationships of risks faced by third party logistics service providers: A DEMATEL based approach , 2016 .

[26]  Lazim Abdullah,et al.  A new preference scale mcdm method based on interval-valued intuitionistic fuzzy sets and the analytic hierarchy process , 2016, Soft Comput..

[27]  Sankaran Mahadevan,et al.  An evidential DEMATEL method to identify critical success factors in emergency management , 2014, Appl. Soft Comput..

[28]  John N. Tsitsiklis,et al.  Introduction to Probability , 2002 .

[29]  Astrid M. Oddershede,et al.  Identifying causal relationships in strategy maps using ANP and DEMATEL , 2018, Comput. Ind. Eng..

[30]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[31]  Jiří Jaromír Klemeš,et al.  Waste as alternative fuel – Minimising emissions and effluents by advanced design , 2012 .

[32]  Angel Mena-Nieto,et al.  Using a fuzzy TOPSIS-based scenario analysis to improve municipal solid waste planning and forecasting: A case study of Canary archipelago (1999–2030) , 2018 .

[33]  Asli Coban,et al.  Municipal solid waste management via multi-criteria decision making methods: A case study in Istanbul, Turkey , 2018 .

[34]  Ozalp Vayvay,et al.  Solid waste disposal methodology selection using multi-criteria decision making methods and an application in Turkey , 2017 .

[35]  Zainura Zainon Noor,et al.  Assessing Sustainable Municipal Solid Waste Management Factors for Johor-Bahru by Analytical Hierarchy Process , 2013 .

[36]  Huimin Zhang,et al.  MADM method based on cross-entropy and extended TOPSIS with interval-valued intuitionistic fuzzy sets , 2012, Knowl. Based Syst..

[37]  Adil Baykasolu,et al.  Development of an interval type-2 fuzzy sets based hierarchical MADM model by combining DEMATEL and TOPSIS , 2017, Expert Syst. Appl..

[38]  R. Sebastian,et al.  A technique to quantify incinerability of municipal solid waste , 2019, Resources, Conservation and Recycling.

[39]  G. Choquet Theory of capacities , 1954 .

[40]  A. Gabus,et al.  Perceptions of the world problematique: communication procedure, communicating with those bearing collective responsibility , 1973 .

[41]  Latifah Abd Manaf,et al.  Solid waste management transformation and future challenges of source separation and recycling practice in Malaysia , 2017 .

[42]  Huchang Liao,et al.  A consensus-based probabilistic linguistic gained and lost dominance score method , 2019, Eur. J. Oper. Res..

[43]  S. Greco,et al.  Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression ☆ , 2016 .

[44]  Diyar Akay,et al.  A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method , 2009, Expert Syst. Appl..

[45]  M. Sugeno,et al.  Some quantities represented by the Choquet integral , 1993 .

[46]  Guangyin Xu,et al.  Distributed energy system for sustainability transition: A comprehensive assessment under uncertainties based on interval multi-criteria decision making method by coupling interval DEMATEL and interval VIKOR , 2019, Energy.

[47]  菅野 道夫,et al.  Theory of fuzzy integrals and its applications , 1975 .

[48]  Kathleen B. Aviso,et al.  Analyzing barriers to implementing industrial symbiosis networks using DEMATEL , 2016 .

[49]  Rehan Sadiq,et al.  Multiple stakeholders in multi-criteria decision-making in the context of Municipal Solid Waste Management: A review. , 2015, Waste management.

[50]  Zeshui Xu,et al.  Intuitionistic Fuzzy Hybrid Weighted Aggregation Operators , 2014, Int. J. Intell. Syst..

[51]  Hu-Chen Liu,et al.  An integrated decision making approach for assessing healthcare waste treatment technologies from a multiple stakeholder. , 2017, Waste management.

[52]  Seyed Ali Jozi,et al.  A comprehensive multi-criteria decision making-based land capability assessment for municipal solid waste landfill sitting , 2018, Environmental Science and Pollution Research.

[53]  Renato A. Krohling,et al.  Aggregation of neural classifiers using Choquet integral with respect to a fuzzy measure , 2018, Neurocomputing.