Extended Version of Linguistic Picture Fuzzy TOPSIS Method and Its Applications in Enterprise Resource Planning Systems

The main objective of the proposed research in this paper is introducing an extended version of the linguistic picture fuzzy TOPSIS technique and then solving the problems in enterprise resource planning systems. In this article, we use the uncertain information in terms of linguistic picture fuzzy numbers; the decision maker provides membership, neutral, and nonmembership fuzzy linguistic terms to represent uncertain assessments information of alternatives in linguistic multicriteria decision making (LMCDMs). In order to introduce the extended version of TOPSIS method, we defined a new hamming distance measure between two linguistic picture fuzzy numbers. Further, we apply the proposed method to problem of enterprise resource planning systems and discuss numerical implementation of the proposed method of LMCDM.

[1]  Jiarong Shi,et al.  Linguistic hesitant intuitionistic fuzzy cross-entropy measures , 2017, Int. J. Comput. Intell. Syst..

[2]  S. Meysam Mousavi,et al.  Cross-docking Location Selection in Distribution Systems: A New Intuitionistic Fuzzy Hierarchical Decision Model , 2016, Int. J. Comput. Intell. Syst..

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

[4]  Fang Liu,et al.  A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making , 2012, Eur. J. Oper. Res..

[5]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making — An Overview , 1992 .

[6]  Bui Cong Cuong,et al.  Max - Min Composition of Linguistic Intuitionistic Fuzzy Relations and Application in Medical Diagnosis 1 , 2014 .

[7]  Ioannis K. Vlachos,et al.  Intuitionistic fuzzy information - Applications to pattern recognition , 2007, Pattern Recognit. Lett..

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

[9]  Lotfi A. Zadeh,et al.  Fuzzy logic, neural networks, and soft computing , 1993, CACM.

[10]  Jun Ye,et al.  Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment , 2010, Eur. J. Oper. Res..

[11]  Zhongliang Yue,et al.  An extended TOPSIS for determining weights of decision makers with interval numbers , 2011, Knowl. Based Syst..

[12]  Ahmad Makui,et al.  Extension of fuzzy TOPSIS method based on interval-valued fuzzy sets , 2009, Appl. Soft Comput..

[13]  Zaiwu Gong,et al.  Extension of TOPSIS for Intuitionistic Fuzzy Multiple Attribute Decision Making and Experimental Analysis , 2012 .

[14]  Shian-Jong Chuu,et al.  Interactive group decision-making using a fuzzy linguistic approach for evaluating the flexibility in a supply chain , 2011, Eur. J. Oper. Res..

[15]  Zeshui Xu,et al.  Intuitionistic Fuzzy Aggregation Operators , 2007, IEEE Transactions on Fuzzy Systems.

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

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

[18]  Ting-Yu Chen,et al.  The extended QUALIFLEX method for multiple criteria decision analysis based on interval type-2 fuzzy sets and applications to medical decision making , 2013, Eur. J. Oper. Res..

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

[20]  Gui-Wu Wei,et al.  Picture uncertain linguistic aggregation operators and their application to multiple attribute decision making , 2017, Int. J. Knowl. Based Intell. Eng. Syst..

[21]  Evangelos Triantaphyllou,et al.  Development and evaluation of five fuzzy multiattribute decision-making methods , 1996, Int. J. Approx. Reason..

[22]  Weihua Xu,et al.  New approach to MCDM under interval-valued intuitionistic fuzzy environment , 2013, Int. J. Mach. Learn. Cybern..

[23]  Peide Liu,et al.  Multi-criteria Group Decision-Making Based on Interval Neutrosophic Uncertain Linguistic Variables and Choquet Integral , 2016, Cognitive Computation.

[24]  Guiwu Wei,et al.  Picture fuzzy cross-entropy for multiple attribute decision making problems , 2016 .