Group Decision Making Process for Supplier Selection with TOPSIS Method under Interval-Valued Intuitionistic Fuzzy Numbers

Supplier selection is a fundamental issue of supply chain area that heavily contributes to the overall supply chain performance, and, also, it is a hard problem since supplier selection is typically a multicriteria group decision problem. In many practical situations, there usually exists incomplete and uncertain, and the decision makers cannot easily express their judgments on the candidates with exact and crisp values. Therefore, in this paper an extended technique for order preference by similarity to ideal solution (TOPSIS) method for group decision making with Atanassov's interval-valued intuitionistic fuzzy numbers is proposed to solve the supplier selection problem under incomplete and uncertain information environment. In other researches in this area, the weights of each decision maker and in many of them the weights of criteria are predetermined, but these weights have been calculated in this paper by using the decision matrix of each decision maker. Also, the normalized Hamming distance is proposed to calculate the distance between Atanassov's interval-valued intuitionistic fuzzy numbers. Finally, a numerical example for supplier selection is given to clarify the main results developed in this paper.

[1]  Gary David Holt,et al.  WHICH CONTRACTOR SELECTION METHODOLOGY , 1998 .

[2]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[3]  Ramayya Krishnan,et al.  A hybrid approach to supplier selection for the maintenance of a competitive supply chain , 2008, Expert Syst. Appl..

[4]  S. Talluri,et al.  A Model for Strategic Supplier Selection , 2002 .

[5]  D. Simchi-Levi Designing And Managing The Supply Chain , 2007 .

[6]  Hokey Min International Supplier Selection , 1994 .

[7]  Weiqiong Wang,et al.  Distance measure between intuitionistic fuzzy sets , 2005, Pattern Recognit. Lett..

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

[9]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

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

[11]  Hokey Min,et al.  International Supplier Selection : : A Multi-attribute Utility Approach , 2022 .

[12]  Zhao Fa-xin Distances Between Interval-Valued Intuitionistic Fuzzy Sets , 2010 .

[13]  Jin Wang,et al.  An optimization model for concurrent selection of tolerances and suppliers , 2001 .

[14]  Mohammad Izadikhah,et al.  An algorithmic method to extend TOPSIS for decision-making problems with interval data , 2006, Appl. Math. Comput..

[15]  Jib Fowles,et al.  Handbook of Futures Research , 1978 .

[16]  William J. Stevenson,et al.  Operations Management , 2011 .

[17]  Chen-Tung Chen,et al.  A fuzzy approach for supplier evaluation and selection in supply chain management , 2006 .

[18]  Mahmoud A. Abo-Sinna,et al.  Extensions of TOPSIS for multi-objective large-scale nonlinear programming problems , 2005, Appl. Math. Comput..

[19]  Kenneth N. Thompson,et al.  Vendor Profile Analysis , 1990 .

[20]  C. P. Rao,et al.  Educational Buyers' Perceptions of Vendor Attributes , 1980 .

[21]  Kin Keung Lai,et al.  An novel approach to supplier selection based on vague sets group decision , 2009, Expert Syst. Appl..

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

[23]  R. Narasimhan An Analytical Approach to Supplier Selection , 1983 .

[24]  T. Chu,et al.  Improved extensions of the TOPSIS for group decisionmaking under fuzzy environment , 2002 .

[25]  Philip M. Kaminsky,et al.  Designing and managing the supply chain : concepts, strategies, and case studies , 2007 .

[26]  Shuo-Yan Chou,et al.  A decision support system for supplier selection based on a strategy-aligned fuzzy SMART approach , 2008, Expert Syst. Appl..

[27]  Gülay Barbarosoğlu,et al.  An Application of the Analytic Hierarchy Process to the Supplier Selection Problem , 1997 .

[28]  Z. Xu,et al.  Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making , 2007 .

[29]  William R. Soukup,et al.  SUPPLIER SELECTION STRATEGIES , 1987 .

[30]  W. C. Benton,et al.  Vendor selection criteria and methods , 1991 .

[31]  James L. Zydiak,et al.  Vendor selection with price breaks , 1993 .

[32]  Gj Wie Purchasing and the Management of Materials , 1983 .

[33]  T. Chu Selecting Plant Location via a Fuzzy TOPSIS Approach , 2002 .

[34]  Alan C. McKinnon,et al.  Improving the Fuel Efficiency of Road Freight Operations , 1993 .

[35]  R. Handfield,et al.  Purchasing and Supply Chain Management , 1997 .

[36]  H. S. Byun,et al.  A decision support system for the selection of a rapid prototyping process using the modified TOPSIS method , 2005 .

[37]  Robert E. Gregory,et al.  Source Selection: A Matrix Approach , 1986 .

[38]  Sheng-Hshiung Tsaur,et al.  The evaluation of airline service quality by fuzzy MCDM. , 2002 .

[39]  Fei Ye,et al.  An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection , 2010, Expert Syst. Appl..

[40]  D. Golhar,et al.  JIT purchasing: attribute classification and literature review , 1993 .

[41]  Barry Render,et al.  Principles of Operations Management , 1993 .

[42]  M. Y. Bayrak,et al.  A fuzzy approach method for supplier selection , 2007 .

[43]  Mohammad Izadikhah,et al.  Extension of the TOPSIS method for decision-making problems with fuzzy data , 2006, Appl. Math. Comput..

[44]  Gwo-Hshiung Tzeng,et al.  Combining grey relation and TOPSIS concepts for selecting an expatriate host country , 2004, Math. Comput. Model..

[45]  I. Ozkarahan,et al.  Supplier evaluation and management system for strategic sourcing based on a new multicriteria sorting procedure , 2007 .

[46]  Gary W. Dickson,et al.  AN ANALYSIS OF VENDOR SELECTION SYSTEMS AND DECISIONS , 1966 .

[47]  Amir A. Sadrian,et al.  A Procurement Decision Support System in Business Volume Discount Environments , 1994, Oper. Res..

[48]  Mohammad Izadikhah,et al.  Using the Hamming distance to extend TOPSIS in a fuzzy environment , 2009, J. Comput. Appl. Math..

[49]  Edward N. Timmerman An Approach to Vendor Performance Evaluation , 1986 .

[50]  L. Ellram The Supplier Selection Decision in Strategic Partnerships , 1990 .

[51]  L. D. Boer,et al.  A review of methods supporting supplier selection , 2001 .

[52]  R. Hill,et al.  Using the Analytic Hierarchy Process to Structure the Supplier Selection Procedure , 1992 .

[53]  Wade M. Jackson,et al.  A GOAL PROGRAMMING MODEL FOR PURCHASE PLANNING , 1983 .

[54]  Robert J. Vokurka,et al.  A prototype expert system for the evaluation and selection of potential suppliers , 1996 .

[55]  Edward C. Rosenthal,et al.  Vendor Selection with Bundling , 1995 .

[56]  Selin Soner Kara,et al.  Long term supplier selection using a combined fuzzy MCDM approach: A case study for a telecommunication company , 2009, Expert Syst. Appl..

[57]  Manoj Kumar Tiwari,et al.  Global supplier selection: a fuzzy-AHP approach , 2008 .

[58]  Chen-Tung Chen,et al.  Extensions of the TOPSIS for group decision-making under fuzzy environment , 2000, Fuzzy Sets Syst..

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

[60]  Andrew C. Pan Allocation of Order Quantity among Suppliers , 1989 .

[61]  L. V. D. Wegen,et al.  Outranking methods in support of supplier selection , 1998 .

[62]  C. C. LI,et al.  A new measure for supplier performance evaluation , 1997 .

[63]  L. Ellram,et al.  Supplier Selection Using Multi‐objective Programming: A Decision Support System Approach , 1993 .

[64]  A. Noorul Haq,et al.  Fuzzy analytical hierarchy process for evaluating and selecting a vendor in a supply chain model , 2006 .

[65]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .