An application of intuitionistic fuzzy TOPSIS on mobile phone selection

Information Technology (IT) and telecommunication industries are going through significant changes recently with the penetration of mobile phones. This study proposes a multi-criteria decision making (MCDM) framework to evaluate different mobile phone options with respect to users' preferences. In complex situations such as fuzziness in decision makers' (DMs) judgments or the lack of knowledge about the problem, intuitionistic fuzzy sets (IFS) are utilized to eliminate uncertainty and to better represent DMs' preferences. In most of the researches, the vagueness of MCDM is handled with the fuzzy set theory, by only assigning degree of membership. In contrast, IFS is a powerful method to cope with uncertainty by taking both degree of membership and non-membership function. This study aims to develop an approach based on intuitionistic fuzzy technique for order performance by similarity to ideal solution (IF-TOPSIS) for ranking appropriate mobile phone alternatives. The originality of the paper comes from its ability to provide an effective evaluation of mobile phone selection with IFS for the first time. For demonstrating the potential of this approach, a motivated example is given to select the most appropriate phone for customers.

[1]  C. Hwang,et al.  Fuzzy Multiple Attribute Decision Making Methods , 1992 .

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

[3]  Zeshui Xu,et al.  Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information , 2013, Knowl. Based Syst..

[4]  Zeshui Xu,et al.  Group decision making based on intuitionistic multiplicative aggregation operators , 2013 .

[5]  Zeshui Xu,et al.  Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment , 2012, Inf. Fusion.

[6]  Zun-Quan Xia,et al.  Multicriteria fuzzy decision-making methods based on intuitionistic fuzzy sets , 2007, J. Comput. Syst. Sci..

[7]  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.

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

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

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

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

[12]  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..

[13]  Lazim Abdullah,et al.  Sustainable energy planning decision using the intuitionistic fuzzy analytic hierarchy process: choosing energy technology in Malaysia , 2016 .

[14]  Zeshui Xu,et al.  Soft computing based on maximizing consensus and fuzzy TOPSIS approach to interval-valued intuitionistic fuzzy group decision making , 2015, Appl. Soft Comput..

[15]  Irem Ozkarahan,et al.  An integrated multicriteria decision-making methodology for outsourcing management , 2007, Comput. Oper. Res..

[16]  Zeshui Xu,et al.  Intuitionistic preference relations and their application in group decision making , 2007, Inf. Sci..

[17]  Jalal Ashayeri,et al.  Supply chain partners and configuration selection: An intuitionistic fuzzy Choquet integral operator based approach , 2012, Expert Syst. Appl..

[18]  Jingmin Wang,et al.  The Intuitionistic Fuzzy Sets on Evaluation of Risks in Projects of Energy Management Contract , 2012 .

[19]  Erhan Bozdag,et al.  The selection of technology forecasting method using a multi-criteria interval-valued intuitionistic fuzzy group decision making approach , 2013, Comput. Ind. Eng..

[20]  J. H. Park,et al.  Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment , 2011 .

[21]  Zeshui Xu,et al.  Some geometric aggregation operators based on intuitionistic fuzzy sets , 2006, Int. J. Gen. Syst..

[22]  S. M. Mousavi,et al.  A new design of the elimination and choice translating reality method for multi-criteria group decision-making in an intuitionistic fuzzy environment , 2013 .

[23]  Huayou Chen,et al.  Intuitionistic fuzzy geometric interaction averaging operators and their application to multi-criteria decision making , 2014, Inf. Sci..

[24]  Chunqiao Tan,et al.  A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS , 2011, Expert Syst. Appl..

[25]  Ming-yuan Chen,et al.  An interactive method for dynamic intuitionistic fuzzy multi-attribute group decision making , 2011, Expert Syst. Appl..

[26]  Fatih Emre Boran,et al.  The Evaluation of Renewable Energy Technologies for Electricity Generation in Turkey Using Intuitionistic Fuzzy TOPSIS , 2012 .

[27]  Lazim Abdullah,et al.  A new preference scale of intuitionistic fuzzy analytic hierarchy process in multi-criteria decision making problems , 2014, J. Intell. Fuzzy Syst..

[28]  F. E. Boran An Integrated Intuitionistic Fuzzy Multi Criteria Decision Making Method for Facility Location Selection , 2011 .

[29]  Gülçin Büyüközkan,et al.  Using a multi-criteria decision making approach to evaluate mobile phone alternatives , 2007, Comput. Stand. Interfaces.

[30]  Solomon Tesfamariam,et al.  Environmental decision-making under uncertainty using intuitionistic fuzzy analytic hierarchy process (IF-AHP) , 2009 .

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

[32]  Jin-Han Park,et al.  Extension of the VIKOR method to dynamic intuitionistic fuzzy multiple attribute decision making , 2010, Third International Workshop on Advanced Computational Intelligence.

[33]  Sanjay Kumar,et al.  Intuitionistic fuzzy entropy and distance measure based TOPSIS method for multi-criteria decision making , 2014 .

[34]  Shu Liu,et al.  Fractional programming methodology for multi-attribute group decision-making using IFS , 2009, Appl. Soft Comput..

[35]  Zhongliang Yue,et al.  TOPSIS-based group decision-making methodology in intuitionistic fuzzy setting , 2014, Inf. Sci..

[36]  O. Tatari,et al.  Ranking the sustainability performance of pavements: An intuitionistic fuzzy decision making method , 2014 .

[37]  Zeshui Xu,et al.  Intuitionistic Fuzzy Analytic Hierarchy Process , 2014, IEEE Transactions on Fuzzy Systems.

[38]  James Nga-Kwok Liu,et al.  A rule-based group decision model for warehouse evaluation under interval-valued Intuitionistic fuzzy environments , 2013, Expert Syst. Appl..

[39]  Irfan Ertugrul,et al.  Performance evaluation of Turkish cement firms with fuzzy analytic hierarchy process and TOPSIS methods , 2009, Expert Syst. Appl..

[40]  H. Joseph Wen,et al.  Consumer-based m-commerce: exploring consumer perception of mobile applications , 2005, Comput. Stand. Interfaces.

[41]  Alejandro Alvarado,et al.  Intuitionistic fuzzy TOPSIS for ergonomic compatibility evaluation of advanced manufacturing technology , 2014 .

[42]  K. Devi,et al.  A multicriteria intuitionistic fuzzy group decision making for plant location selection with ELECTRE method , 2012, The International Journal of Advanced Manufacturing Technology.