Linguistic intuitionistic fuzzy PROMETHEE method based on similarity measure for the selection of sustainable building materials

The selection of sustainable building materials has attracted much attention from society because it is essential for environment, economy, and human health. To meet the need of the building development, the identified criteria for optimal sustainable building materials are determined based on sustainability building standards and previous studies including economic, environmental, social, and technological aspects. To represent the qualitative preferred and non-preferred cognitions of the decision makers, linguistic intuitionistic fuzzy numbers (LIFNs) are utilized to describe the evaluation information, which is a powerful and flexible tool. Then, new accuracy function and score function are defined to rank LIFNs more objectively. In addition, this paper employs a new linguistic intuitionistic fuzzy entropy to calculate the weights of criteria, and models based on the Shapley function with respect to 2-additive measure are constructed to reflect the correlations among elements in a set. Based on these results, a linguistic intuitionistic fuzzy Preference Ranking Organization Method for Enrichment Evaluation and prospect theory based hybrid method is proposed to assess the sustainable building materials. Finally, the effectiveness of the new method is testified by a case study for sustainable indoor flooring material selection, and comparative analysis is made.

[1]  Kannan Govindan,et al.  Sustainable material selection for construction industry – A hybrid multi criteria decision making approach , 2016 .

[2]  Haifei Liu,et al.  Credit Risk Contagion in an Evolving Network Model Integrating Spillover Effects and Behavioral Interventions , 2018, Complex..

[3]  Na Wang,et al.  Correlation coefficients of dual hesitant fuzzy sets and their application in engineering management , 2020, J. Ambient Intell. Humaniz. Comput..

[4]  Luis Martínez-López,et al.  Sustainable building material selection: A QFD- and ELECTRE III-embedded hybrid MCGDM approach with consensus building , 2019, Eng. Appl. Artif. Intell..

[5]  Samarjit Kar,et al.  An Extension of the CODAS Approach Using Interval-Valued Intuitionistic Fuzzy Set for Sustainable Material Selection in Construction Projects with Incomplete Weight Information , 2019, Symmetry.

[6]  Jian Zuo,et al.  Green building research–current status and future agenda: A review , 2014 .

[7]  Guangdong Tian,et al.  Green decoration materials selection under interior environment characteristics: A grey-correlation based hybrid MCDM method , 2018 .

[8]  Arianna Dominici Loprieno,et al.  A life cycle approach to Green Public Procurement of building materials and elements: A case study on windows , 2011 .

[9]  L. A. ZADEH,et al.  The concept of a linguistic variable and its application to approximate reasoning - I , 1975, Inf. Sci..

[10]  Zheng Pei,et al.  The linguistic intuitionistic fuzzy set TOPSIS method for linguistic multi-criteria decision makings , 2018, Int. J. Comput. Intell. Syst..

[11]  S. Gheewala,et al.  A matrix in life cycle perspective for selecting sustainable materials for buildings in Sri Lanka , 2009 .

[12]  Fanyong Meng,et al.  Linguistic Intuitionistic Fuzzy Group Decision Making Based on Aggregation Operators , 2018, International Journal of Fuzzy Systems.

[13]  Belinda López-Mesa,et al.  A model for the sustainable selection of building envelope assemblies , 2016 .

[14]  Francisco Herrera,et al.  Linguistic decision analysis: steps for solving decision problems under linguistic information , 2000, Fuzzy Sets Syst..

[15]  Weimin Wang,et al.  Applying multi-objective genetic algorithms in green building design optimization , 2005 .

[16]  Hong-yu Zhang,et al.  Interval-valued hesitant fuzzy linguistic sets and their applications in multi-criteria decision-making problems , 2014, Inf. Sci..

[17]  Zheng Pei,et al.  An approach to multiple attribute group decision making based on linguistic intuitionistic fuzzy numbers , 2015, Int. J. Comput. Intell. Syst..

[18]  Peide Liu,et al.  A Multiple Attribute Group Decision-making Method Based on the Partitioned Bonferroni Mean of Linguistic Intuitionistic Fuzzy Numbers , 2019, Cognitive Computation.

[19]  Rolandas Drejeris,et al.  Multi-criteria Evaluation of Building Sustainability Behavior , 2014 .

[20]  Paul Olomolaiye,et al.  Development of sustainable assessment criteria for building materials selection , 2012 .

[21]  Peide Liu,et al.  An extended C-TODIM method with linguistic intuitionistic fuzzy numbers , 2019, J. Intell. Fuzzy Syst..

[22]  Zeshui Xu,et al.  Multi-criteria decision making with intuitionistic fuzzy PROMETHEE , 2014, J. Intell. Fuzzy Syst..

[23]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[24]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[25]  Jian-qiang Wang,et al.  A linguistic intuitionistic multi-criteria decision-making method based on the Frank Heronian mean operator and its application in evaluating coal mine safety , 2018, Int. J. Mach. Learn. Cybern..

[26]  Sheng-Yi Jiang,et al.  A note on information entropy measures for vague sets and its applications , 2008, Inf. Sci..

[27]  Fanyong Meng,et al.  Interval‐Valued Intuitionistic Fuzzy Multiattribute Group Decision Making Based on Cross Entropy Measure and Choquet Integral , 2013, Int. J. Intell. Syst..

[28]  Zeshui Xu,et al.  GROUP DECISION-MAKING MODELS FOR VENTURE CAPITALISTS: THE PROMETHEE WITH HESITANT FUZZY LINGUISTIC INFORMATION , 2019, Technological and Economic Development of Economy.

[29]  Michel Grabisch,et al.  K-order Additive Discrete Fuzzy Measures and Their Representation , 1997, Fuzzy Sets Syst..

[30]  Qiang Zhang,et al.  Preference Attitude-Based Method for Ranking Intuitionistic Fuzzy Numbers and Its Application in Renewable Energy Selection , 2018, Complex..

[31]  Francisco Herrera,et al.  A 2-tuple fuzzy linguistic representation model for computing with words , 2000, IEEE Trans. Fuzzy Syst..

[32]  Fanyong Meng,et al.  Linguistic intuitionistic fuzzy preference relations and their application to multi-criteria decision making , 2019, Inf. Fusion.

[33]  Derek Clements-Croome,et al.  Sustainable building solutions: a review of lessons from the natural world , 2005 .

[34]  Peide Liu,et al.  A Multi-Attribute Group Decision-Making Method Based on Linguistic Intuitionistic Fuzzy Numbers and Dempster-Shafer Evidence Theory , 2020, Int. J. Inf. Technol. Decis. Mak..

[35]  C. du Plessis,et al.  A strategic framework for sustainable construction in developing countries , 2007 .

[36]  Samira Mahmoudkelaye,et al.  Sustainable material selection for building enclosure through ANP method , 2018, Case Studies in Construction Materials.

[37]  Nuri Mehmet Gokhan,et al.  The Economic Benefits of Green Buildings: A Comprehensive Case Study , 2006 .

[38]  Peide Liu,et al.  An extended VIKOR method for decision making problem with linguistic intuitionistic fuzzy numbers based on some new operational laws and entropy , 2017, J. Intell. Fuzzy Syst..

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

[40]  Ezekiel Chinyio,et al.  Multi-criteria evaluation model for the selection of sustainable materials for building projects , 2013 .

[41]  Humberto Bustince,et al.  Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets , 1996, Fuzzy Sets Syst..

[42]  Z. S. Xu,et al.  Eowa And Eowg Operators For Aggregating Linguistic Labels Based On Linguistic Preference Relations , 2004, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[43]  Hong-yu Zhang,et al.  An extended outranking approach for multi-criteria decision-making problems with linguistic intuitionistic fuzzy numbers , 2017, Appl. Soft Comput..

[44]  L. Simões da Silva,et al.  A probabilistic decision-making approach for the sustainable assessment of infrastructures , 2012, Expert Syst. Appl..

[45]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[46]  Mohd Ahmed,et al.  Siliceous Concrete Materials Management for Sustainability Using Fuzzy-TOPSIS Approach , 2019, Applied Sciences.

[47]  Omair Awadh,et al.  Sustainability and green building rating systems: LEED, BREEAM, GSAS and Estidama critical analysis , 2017 .

[48]  Raheleh Rostami,et al.  Rank of green building material criteria based on the three pillars of sustainability using the hybrid multi criteria decision making method , 2018 .

[49]  Yi Liu,et al.  Novel Multiple Attribute Group Decision-Making Methods Based on Linguistic Intuitionistic Fuzzy Information , 2020, Mathematics.

[50]  Chrisna Du Plessis,et al.  A strategic framework for sustainable construction in developing countries , 2007 .

[51]  Simone Bastianoni,et al.  Emergy analysis of building manufacturing, maintenance and use: Em-building indices to evaluate housing sustainability , 2007 .

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

[53]  Tabasam Rashid,et al.  Experimental and analytical selection of sustainable recycled concrete with ceramic waste aggregate , 2017 .

[54]  Romualdas Bausys,et al.  Model for residential house element and material selection by neutrosophic MULTIMOORA method , 2017, Engineering applications of artificial intelligence.

[55]  Morteza Yazdani,et al.  A state-of the-art survey of TOPSIS applications , 2012, Expert Syst. Appl..

[56]  Fanyong Meng,et al.  Linguistic intuitionistic fuzzy Hamacher aggregation operators and their application to group decision making , 2018, Granular Computing.

[57]  P. Anand Raj,et al.  Entropy-based fuzzy TOPSIS framework for selection of a sustainable building material , 2019, International Journal of Construction Management.