Systematic combination of fuzzy and grey numbers for supplier selection problem

Purpose – Supplier selection is a complex multiple criteria decision (MCDM) problem which directly depends on decision makers’ choice. Some decisions are getting involved with linguistic variables and they are not mathematically operable. To solve a typical decision problem through MCDM techniques, a number or a numerical interval should be defined. The purpose of this paper is to focus on that numerical interval and in a case of supplier selection, the aim is to close the decisions to the real number that the decision maker mentions and this number is in a numerical interval. Design/methodology/approach – The proposed method deals with grey relational analysis (GRA) and develops it by applying triangular fuzzy numbers. The grey numbers have two defined bounds; the proposed method defines two fuzzy bounds for each grey attribute. In the proposed method, the fuzzy membership function has been employed for each bounds of grey attribute to make them to fuzzy bounds with two undefined bounds. Also to make com...

[1]  Goran D. Putnik,et al.  CENTERIS 2012 - Conference on ENTERprise Information Systems / HCIST 2012 - International Conference on Health and Social Care Information Systems and Technologies Supplier's selection model based on an empirical study , 2012 .

[2]  Mahour Mellat-Parast,et al.  Developing a grey-based decision-making model for supplier selection , 2012 .

[3]  Ting-Yu Chen,et al.  The inclusion-based TOPSIS method with interval-valued intuitionistic fuzzy sets for multiple criteria group decision making , 2015, Appl. Soft Comput..

[4]  Sasan Barak,et al.  A genetic algorithm based grey goal programming (G3) approach for parts supplier evaluation and selection , 2012 .

[5]  Seyed Hassan Ghodsypour,et al.  A decision support system for supplier selection using an integrated analytic hierarchy process and linear programming , 1998 .

[6]  Ali Azadeh,et al.  A flexible deterministic, stochastic and fuzzy Data Envelopment Analysis approach for supply chain risk and vendor selection problem: Simulation analysis , 2010, Expert Syst. Appl..

[7]  Seyed Taghi Akhavan Niaki,et al.  Forecasting S&P 500 index using artificial neural networks and design of experiments , 2013 .

[8]  David J. Barnes,et al.  A literature review of decision-making models and approaches for partner selection in agile supply chains , 2011 .

[9]  Francisco Rodrigues Lima Junior,et al.  A comparison between Fuzzy AHP and Fuzzy TOPSIS methods to supplier selection , 2014, Appl. Soft Comput..

[10]  Rupesh Kumar Pandey,et al.  Optimization of bone drilling parameters using grey-based fuzzy algorithm , 2014 .

[11]  Ching-Lai Hwang,et al.  Methods for Multiple Attribute Decision Making , 1981 .

[12]  P. Parthiban,et al.  A strategic model using structural equation modeling and fuzzy logic in supplier selection , 2011, Expert Syst. Appl..

[13]  Honggang Wang,et al.  Empirical Evaluation of Classifiers for Software Risk Management , 2009, Int. J. Inf. Technol. Decis. Mak..

[14]  Naiming Xie,et al.  Novel methods on comparing grey numbers , 2010 .

[15]  A. Amida,et al.  Fuzzy multiobjective linear model for supplier selection in a supply chain , 2015 .

[16]  Peide Liu,et al.  Research on the supplier selection of a supply chain based on entropy weight and improved ELECTRE-III method , 2011 .

[17]  Hayri Baraçli,et al.  An integrated novel interval type-2 fuzzy MCDM method to improve customer satisfaction in public transportation for Istanbul , 2013 .

[18]  Honggang Wang,et al.  User preferences based software defect detection algorithms selection using MCDM , 2012, Inf. Sci..

[19]  S. Farid Mousavi,et al.  Group decision making process for supplier selection with VIKOR under fuzzy environment , 2010, Expert Syst. Appl..

[20]  Serhat Burmaoglu,et al.  A fuzzy hybrid MCDM approach for professional selection , 2012, Expert Syst. Appl..

[21]  Hsing-Pei Kao,et al.  An integrated fuzzy TOPSIS and MCGP approach to supplier selection in supply chain management , 2011, Expert Syst. Appl..

[22]  Rosnah Mohd Yusuff,et al.  An optimal grey based approach based on TOPSIS concepts for supplier selection problem , 2009 .

[23]  Burcu Yilmaz,et al.  A combined approach for equipment selection: F-PROMETHEE method and zero-one goal programming , 2011, Expert Syst. Appl..

[24]  Hao-Tien Liu,et al.  Product design and selection using fuzzy QFD and fuzzy MCDM approaches , 2011 .

[25]  Iain Paterson,et al.  Evaluation of Machine-Learning Algorithm Ranking Advisors , 2000 .

[26]  Mehmet Sevkli,et al.  An application of the fuzzy ELECTRE method for supplier selection , 2010 .

[27]  Edmundas Kazimieras Zavadskas,et al.  Multi-Attribute Decision-Making Model by Applying Grey Numbers , 2009, Informatica.

[28]  J. Deng,et al.  Introduction to Grey system theory , 1989 .

[29]  Samuel H. Huang,et al.  Comprehensive and configurable metrics for supplier selection , 2007 .

[30]  Anjali Awasthi,et al.  A fuzzy multicriteria approach for evaluating environmental performance of suppliers , 2010 .

[31]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Survey , 1981, Lecture Notes in Economics and Mathematical Systems.

[32]  R. Parameshwaran,et al.  An integrated fuzzy MCDM based approach for robot selection considering objective and subjective criteria , 2015, Appl. Soft Comput..

[33]  Peide Liu,et al.  A grey relational projection method for multi-attribute decision making based on intuitionistic trapezoidal fuzzy number , 2013 .

[34]  Wen-Hui Chen,et al.  A grey‐based approach for distribution network reconfiguration , 2005 .

[35]  Xinyang Deng,et al.  Supplier selection using AHP methodology extended by D numbers , 2014, Expert Syst. Appl..

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

[37]  Ching-Hsue Cheng,et al.  Evaluating attack helicopters by AHP based on linguistic variable weight , 1999, Eur. J. Oper. Res..

[38]  Witold Pedrycz,et al.  International Journal of Approximate Reasoning Triangular Fuzzy Decision-theoretic Rough Sets , 2022 .

[39]  Jennifer Blackhurst,et al.  Supplier evaluation and selection: an augmented DEA approach , 2009 .

[40]  Pavel V. Sevastjanov,et al.  An approach to generalization of fuzzy TOPSIS method , 2013, Inf. Sci..

[41]  Aidy Ali,et al.  A REVIEW OF SUPPLIER SELECTION METHODS IN MANUFACTURING INDUSTRIES , 2008 .

[42]  Ko-Ta Chiang,et al.  The method of grey-fuzzy logic for optimizing multi-response problems during the manufacturing process: a case study of the light guide plate printing process , 2009 .

[43]  Atakan Yücel,et al.  A weighted additive fuzzy programming approach for multi-criteria supplier selection , 2011, Expert Syst. Appl..

[44]  Chin-Tsai Lin,et al.  An ERP model for supplier selection in electronics industry , 2011, Expert Syst. Appl..

[45]  Pandian Pitchipoo,et al.  Modeling and development of a decision support system for supplier selection in the process industry , 2013 .

[46]  Lior Rokach,et al.  Ensemble-based classifiers , 2010, Artificial Intelligence Review.

[47]  S. H. Ghodsypour,et al.  A weighted max–min model for fuzzy multi-objective supplier selection in a supply chain , 2011 .

[48]  H. Carter Fuzzy Sets and Systems — Theory and Applications , 1982 .

[49]  Hülya Behret,et al.  Group decision making with intuitionistic fuzzy preference relations , 2014, Knowl. Based Syst..

[50]  Pradeep Kumar Jha,et al.  Multi-characteristic optimization of wax patterns in the investment casting process using grey–fuzzy logic , 2013 .

[51]  Yong Deng,et al.  A new fuzzy dempster MCDM method and its application in supplier selection , 2011, Expert Syst. Appl..

[52]  Ching-Chow Yang,et al.  Supplier selection using combined analytical hierarchy process and grey relational analysis , 2006 .

[53]  Eddie Anderson,et al.  Operations Management—Strategy and Analysis , 1987 .

[54]  Ying-Hsiu Chen,et al.  Strategic decisions using the fuzzy PROMETHEE for IS outsourcing , 2011, Expert Syst. Appl..

[55]  James Nga-Kwok Liu,et al.  Application of decision-making techniques in supplier selection: A systematic review of literature , 2013, Expert Syst. Appl..

[56]  E. Lee,et al.  Comparison of fuzzy numbers based on the probability measure of fuzzy events , 1988 .

[57]  Gülçin Büyüközkan,et al.  A novel hybrid MCDM approach based on fuzzy DEMATEL, fuzzy ANP and fuzzy TOPSIS to evaluate green suppliers , 2012, Expert Syst. Appl..

[58]  Serkan Yavuz,et al.  Weapon selection using the AHP and TOPSIS methods under fuzzy environment , 2009, Expert Syst. Appl..

[59]  Mohammad Jafar Tarokh,et al.  A fuzzy VIKOR method for supplier selection based on entropy measure for objective weighting , 2011, Expert Syst. Appl..

[60]  Jun Wang,et al.  A new MCDM method combining QFD with TOPSIS for knowledge management system selection from the user's perspective in intuitionistic fuzzy environment , 2014, Appl. Soft Comput..

[61]  Ismail Erol,et al.  Fuzzy MCDM framework for locating a nuclear power plant in Turkey , 2014 .

[62]  Enrique Herrera-Viedma,et al.  Identifying Citation Classics in Fuzzy Decision Making Field Using the Concept of H-Classics , 2014, ITQM.

[63]  Yuh-Jen Chen,et al.  Structured methodology for supplier selection and evaluation in a supply chain , 2011, Inf. Sci..

[64]  Joseph Sarkis,et al.  Integrating sustainability into supplier selection with grey system and rough set methodologies , 2010 .

[65]  Rupesh Kumar Pandey,et al.  Optimization of multiple quality characteristics in bone drilling using grey relational analysis. , 2015, Journal of orthopaedics.

[66]  Wolfgang Hauke Fuzzy Multiple Attribute Decision Making (Fuzzy-MADM) , 1998 .

[67]  San-yang Liu,et al.  A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection , 2011, Expert Syst. Appl..

[68]  W. Ho,et al.  Strategic sourcing: a combined QFD and AHP approach in manufacturing , 2011 .

[69]  San-yang Liu,et al.  An extended GRA method for MCDM with interval-valued triangular fuzzy assessments and unknown weights , 2011, Comput. Ind. Eng..

[70]  Yong-Huang Lin,et al.  Dynamic multi-attribute decision making model with grey number evaluations , 2008, Expert Syst. Appl..

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

[72]  N. Ravi Shankar,et al.  Ordering Generalized Trapezoidal Fuzzy Numbers Using Orthocentre of Centroids , 2012 .

[73]  Yongwei Yang,et al.  A Decision Making Method for the Quality Identification of Wines Based on Fuzzy Soft Sets , 2014 .

[74]  Erkan Kose,et al.  Green supplier selection based on IFS and GRA , 2013, Grey Syst. Theory Appl..

[75]  Ta-Chung Chu,et al.  An extension to fuzzy MCDM , 2009, Comput. Math. Appl..

[76]  Ozcan Kilincci,et al.  Fuzzy AHP approach for supplier selection in a washing machine company , 2011, Expert Syst. Appl..

[77]  Ahmad Jafarnejad Chaghooshi,et al.  Integration of Grey Relational Analysis and Goal Programming for Supplier selection and planning (Case Study from an Automotive Company) , 2014 .

[78]  Ksenija Mandic,et al.  Analysis of the financial parameters of Serbian banks through the application of the fuzzy AHP and TOPSIS methods , 2014 .

[79]  D. Yamaguchi,et al.  A grey-based rough decision-making approach to supplier selection , 2008 .

[80]  Ru-Jen Chao,et al.  Supplier selection using consistent fuzzy preference relations , 2012, Expert Syst. Appl..

[81]  Hing Kai Chan,et al.  An AHP model for selection of suppliers in the fast changing fashion market , 2010 .

[82]  GuoDong Li,et al.  A grey-based decision-making approach to the supplier selection problem , 2007, Math. Comput. Model..

[83]  Riccardo Dulmin,et al.  Supplier selection using a multi-criteria decision aid method , 2003 .

[84]  Madjid Tavana,et al.  An integrated green supplier selection approach with analytic network process and improved Grey relational analysis , 2015 .

[85]  Doraid M. Dalalah,et al.  A fuzzy multi-criteria decision making model for supplier selection , 2011, Expert Syst. Appl..

[86]  Yi Lin,et al.  Theory of grey systems: capturing uncertainties of grey information , 2004 .