Base-criterion on multi-criteria decision-making method and its applications

ABSTRACT In this paper, Base-criterion method (BCM) is proposed to solve multi-criteria decision-making problems. According to BCM, instead of executing a pairwise comparisons between all criteria or executing a pairwise comparisons between each of the best and worst criteria to other criteria, one of the criteria is chosen by the decision-maker as a base-criterion (e.g. preferential, selective) and then pairwise comparisons between base-criterion and other criteria are obtained. Then, a max-min problem is formulated and solved to determine the weight of the criteria. In this way, the pairwise comparisons to obtain weights of the criteria are fully consistent. In other ability of BCM, we find the lost pairwise comparisons by using the BCM framework so that the pairwise comparisons matrix remains consistent. To illustrate the reliability of the proposed method and evaluate its performance to determine the weights, we have used two numerical examples. The outcomes of numerical examples indicate that the BCM has high accuracy and better consistency ratio than the other multi-criteria decision-making(MCDM) methods. The cause of high consistency ratio in the BCM is the dependency of pairwise comparisons between criteria. Moreover, we have used two other numerical examples to illustrate the function of the BCM in order to find out the missing comparisons in incomplete pairwise comparison matrix. We have shown the BCM framework able to find lost comparisons in the worst terms of the incomplete pairwise comparison matrix. The outcomes of the proposed article show that BCM performance is significantly better than AHP and BWM methods with respect to the consistency ratio, and it requires fewer comparison data and has the ability to calculate missing pairwise comparisons.

[1]  Waldemar W. Koczkodaj,et al.  A Monte Carlo Study of Parwise Comparison , 1996, Inf. Process. Lett..

[2]  Thomas L. Saaty,et al.  Decision making with dependence and feedback : the analytic network process : the organization and prioritization of complexity , 1996 .

[3]  Xiaohan Yu,et al.  ELECTRE methods in prioritized MCDM environment , 2018, Inf. Sci..

[4]  P. Vincke,et al.  Note-A Preference Ranking Organisation Method: The PROMETHEE Method for Multiple Criteria Decision-Making , 1985 .

[5]  Sen Guo,et al.  Fuzzy best-worst multi-criteria decision-making method and its applications , 2017, Knowl. Based Syst..

[6]  Ernest H. Forman,et al.  Decision By Objectives: How To Convince Others That You Are Right , 2001 .

[7]  Behnam Vahdani,et al.  Evaluating Construction Projects by a New Group Decision-Making Model Based on Intuitionistic Fuzzy Logic Concepts , 2015 .

[8]  T. L. Saaty,et al.  Decision making with dependence and feedback , 2001 .

[9]  M. Bohanec,et al.  The Analytic Hierarchy Process , 2004 .

[10]  Y. De Smet,et al.  An extension of PROMETHEE to interval clustering , 2017, Omega.

[11]  P. Vincke,et al.  Preference ranking organization method for enrichment evaluations , 1985 .

[12]  Jianqiang Wang,et al.  Distance‐based multicriteria group decision‐making approach with probabilistic linguistic term sets , 2018, Expert Syst. J. Knowl. Eng..

[13]  Michael Z. Zgurovsky,et al.  Group incomplete paired comparisons with account of expert competence , 2004 .

[14]  Rita Gamberini,et al.  On the elicitation of criteria weights in PROMETHEE-based ranking methods for a mobile application , 2019, Expert Syst. Appl..

[15]  E. Zavadskas,et al.  Multi‐objective contractor's ranking by applying the Moora method , 2008 .

[16]  Rambabu Kodali,et al.  A multi-criteria decision-making model for the justification of lean manufacturing systems , 2008 .

[17]  K. Yoon.  A Reconciliation Among Discrete Compromise Solutions , 1987 .

[18]  L. Thurstone.  A law of comparative judgment. , 1994 .

[19]  J. Rezaei.  Best-worst multi-criteria decision-making method , 2015 .

[20]  B. Roy.  THE OUTRANKING APPROACH AND THE FOUNDATIONS OF ELECTRE METHODS , 1991 .

[21]  Zhang-peng Tian,et al.  Water security sustainability evaluation: Applying a multistage decision support framework in industrial region , 2018, Journal of Cleaner Production.

[22]  Jian Li,et al.  Multi-criteria decision-making method based on dominance degree and BWM with probabilistic hesitant fuzzy information , 2018, International Journal of Machine Learning and Cybernetics.

[23]  E. Zavadskas,et al.  Application of a quantitative multiple criteria decision making (MCDM-1) approach to the analysis of investments in construction , 2007 .

[24]  Zishuo Huang,et al.  A goal programming based model system for community energy plan , 2017 .

[25]  Elliott N. Weiss,et al.  AHP DESIGN ISSUES FOR LARGE-SCALE SYSTEMS , 1987 .

[26]  Edmundas Kazimieras Zavadskas,et al.  SELECTION OF THE EFFECTIVE DWELLING HOUSE WALLS BY APPLYING ATTRIBUTES VALUES DETERMINED AT INTERVALS , 2008 .

[27]  Elizabeth Chang,et al.  ZBWM: The Z-number extension of Best Worst Method and its application for supplier development , 2018, Expert Syst. Appl..

[28]  S. M. Mousavi,et al.  A New Balancing and Ranking Method based on Hesitant Fuzzy Sets for Solving Decision-making Problems under Uncertainty , 2015 .

[29]  J. Rezaei.  Best-worst multi-criteria decision-making method: Some properties and a linear model , 2016 .

[30]  Thomas L. Saaty,et al.  Theory and Applications of the Analytic Network Process: Decision Making With Benefits, Opportunities, Costs, and Risks , 2005 .

[31]  T. Saaty.  The Analytic Network Process , 2001 .

[32]  Jian-qiang Wang,et al.  Multi-criteria game model based on the pairwise comparisons of strategies with Z-numbers , 2019, Appl. Soft Comput..

[33]  Reza Tavakkoli-Moghaddam,et al.  An Interval-Valued Hesitant Fuzzy TOPSIS Method to Determine the Criteria Weights , 2015, GDN.

[34]  Evangelos Triantaphyllou,et al.  Multi-criteria Decision Making Methods: A Comparative Study , 2000 .

[35]  Yongtae Park,et al.  Review-based measurement of customer satisfaction in mobile service: Sentiment analysis and VIKOR approach , 2014, Expert Syst. Appl..

[36]  N. Bhushan,et al.  Strategic Decision Making: Applying the Analytic Hierarchy Process , 2004 .

[37]  J. Kendall,et al.  Two blackbody radiometers of high accuracy. , 1970, Applied optics.

[38]  Alessio Ishizaka,et al.  Calibrated fuzzy AHP for current bank account selection , 2013, Expert Syst. Appl..

[39]  Ali Siadat,et al.  A new hesitant fuzzy analytical hierarchy process method for decision-making problems under uncertainty , 2014, 2014 IEEE International Conference on Industrial Engineering and Engineering Management.

[40]  Yejun Xu,et al.  Eigenvector method, consistency test and inconsistency repairing for an incomplete fuzzy preference relation , 2013 .

[41]  Yong Shi,et al.  Public blockchain evaluation using entropy and TOPSIS , 2019, Expert Syst. Appl..

[42]  C. Spearman.  The proof and measurement of association between two things. , 2015, International journal of epidemiology.

[43]  H. Gitinavard,et al.  A soft computing based-modified ELECTRE model for renewable energy policy selection with unknown information , 2017 .

[44]  Thomas L. Saaty,et al.  How to Make a Decision: The Analytic Hierarchy Process , 1990 .

[45]  Eva Ocelíková,et al.  Multi-criteria decision making methods , 2005 .

[46]  Edmundas Kazimieras Zavadskas,et al.  VIKOR Technique: A Systematic Review of the State of the Art Literature on Methodologies and Applications , 2016 .

[47]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[48]  Ashkan Hafezalkotob,et al.  A novel approach for combination of individual and group decisions based on fuzzy best-worst method , 2017, Appl. Soft Comput..

[49]  Virgílio António Cruz Machado,et al.  Multi-criteria decision methodology for selecting maintenance key performance indicators , 2015 .

[50]  P. Harker.  Incomplete pairwise comparisons in the analytic hierarchy process , 1987 .

[51]  T. L. Saaty.  A Scaling Method for Priorities in Hierarchical Structures , 1977 .

[52]  William C. Wedley,et al.  Consistency prediction for incomplete AHP matrices , 1993 .

[53]  Milan Zeleny.  Multiple Criteria Decision Making (MCDM): From Paradigm Lost to Paradigm Regained?* , 2011 .

[54]  Waldemar W. Koczkodaj,et al.  A Monte Carlo Study of Pairwise Comparisons , 2015, ArXiv.

[55]  Jian-Qiang Wang,et al.  A Multicriteria Group Decision-Making Method Based on the Normal Cloud Model With Zadeh's Z -Numbers , 2018, IEEE Transactions on Fuzzy Systems.

[56]  Bijan Sarkar,et al.  Warehouse location selection by fuzzy multi-criteria decision making methodologies based on subjective and objective criteria , 2016 .

[57]  H. Gitinavard,et al.  Solving robot selection problem by a new interval-valued hesitant fuzzy multi-attributes group decision method , 2016 .

[58]  Jorge M. Montagna,et al.  Goal programming application for the decision support in the daily production planning of sawmills , 2019, Forest Policy and Economics.

[59]  C. Chou,et al.  Application of ANP to the selection of shipping registry: The case of Taiwanese maritime industry , 2018, International Journal of Industrial Ergonomics.

[60]  Edmundas Kazimieras Zavadskas,et al.  Selection of rational dispute resolution method by applying new step‐wise weight assessment ratio analysis (Swara) , 2010 .

[61]  Jafar Rezaei,et al.  Quality assessment of airline baggage handling systems using SERVQUAL and BWM , 2018, Tourism Management.

[62]  P. Harker.  Alternative modes of questioning in the analytic hierarchy process , 1987 .