A Multi-criteria neutrosophic group decision making metod based TOPSIS for supplier selection

The process of multiple criteria decision making (MCDM) is of determining the best choice among all of the probable alternatives. The problem of supplier selection on which decision maker has usually vague and imprecise knowledge is a typical example of multi criteria group decision-making problem. The conventional crisp techniques has not much effective for solving MCDM problems because of imprecise or fuzziness nature of the linguistic assessments. To find the exact values for MCDM problems is both difficult and impossible in more cases in real world. So, it is more reasonable to consider the values of alternatives according to the criteria as single valued neutrosophic sets (SVNS). This paper deal with the technique for order preference by similarity to ideal solution (TOPSIS) approach and extend the TOPSIS method to MCDM problem with single valued neutrosophic information. The value of each alternative and the weight of each criterion are characterized by single valued neutrosophic numbers. Here, the importance of criteria and alternatives is identified by aggregating individual opinions of decision makers (DMs) via single valued neutrosophic weighted averaging (IFWA) operator. The proposed method is, easy use, precise and practical for solving MCDM problem with single valued neutrosophic data. Finally, to show the applicability of the developed method, a numerical experiment for supplier choice is given as an application of single valued neutrosophic TOPSIS method at end of this paper.

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

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

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

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

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

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

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

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

[9]  Jun Ye,et al.  Single-Valued Neutrosophic Minimum Spanning Tree and Its Clustering Method , 2014, J. Intell. Syst..

[10]  Hong-yu Zhang,et al.  Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems , 2014, TheScientificWorldJournal.

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

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

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

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

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

[16]  Marina Bosch,et al.  Fuzzy Multiple Attribute Decision Making Methods And Applications , 2016 .

[17]  Jun Ye,et al.  Single valued neutrosophic cross-entropy for multicriteria decision making problems , 2014 .

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

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

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

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

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

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

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

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

[26]  Jun Ye,et al.  Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment , 2013, Int. J. Gen. Syst..

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

[28]  Deng-Feng Li,et al.  Multiattribute decision making models and methods using intuitionistic fuzzy sets , 2005, J. Comput. Syst. Sci..

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

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

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

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

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

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

[35]  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..

[36]  Yanqing Zhang,et al.  Interval Neutrosophic Sets and Logic: Theory and Applications in Computing , 2005, ArXiv.

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

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

[39]  Hokey Min.  International Supplier Selection , 1994 .

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

[41]  Rajshekhar Sunderraman,et al.  Single Valued Neutrosophic Sets , 2010 .

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