Interval Type-2 Fuzzy Set Extension of DEMATEL Method

The purpose of this study was to extend the DEMATEL (Decision-Making Trail and Evaluation Laboratory) method based on the interval type-2 fuzzy sets to obtain the weights of criteria based on words. Generally most decision making methods consider the independency between criteria. DEMATEL method considers the inter-relations between criteria. Some decision making methods use words as the enabler of the decision making. These methods consider the perceptions of decision makers, the uncertainty assigned to each word and map the words into interval type-2 fuzzy sets (IT2 FSs). Therefore we extended the DEMATEL method to obtain the weights that can be used in decision making. The application of this method was proposed for six criteria.

[1]  Gwo-Hshiung Tzeng,et al.  An integrated MCDM technique combined with DEMATEL for a novel cluster-weighted with ANP method , 2011, Expert Syst. Appl..

[2]  Jerry M. Mendel,et al.  Corrections to “Aggregation Using the Linguistic Weighted Average and Interval Type-2 Fuzzy Sets” , 2008, IEEE Transactions on Fuzzy Systems.

[3]  I-Shuo Chen,et al.  Using a novel conjunctive MCDM approach based on DEMATEL, fuzzy ANP, and TOPSIS as an innovation support system for Taiwanese higher education , 2010, Expert Syst. Appl..

[4]  C L Lin,et al.  A FUZZY EXTENSION OF THE DEMATEL METHOD FOR GROUP DECISION MAKING , 2004 .

[5]  Gwo-Hshiung Tzeng,et al.  Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS , 2004, Eur. J. Oper. Res..

[6]  Jerry M. Mendel,et al.  AN ARCHITECTURE FOR MAKING JUDGMENTS USING COMPUTING WITH WORDS , 2002 .

[7]  Jerry M. Mendel,et al.  Perceptual Computing: Aiding People in Making Subjective Judgments , 2010 .

[8]  Lotfi A. Zadeh,et al.  From Computing with Numbers to Computing with Words - from Manipulation of Measurements to Manipulation of Perceptions , 2005, Logic, Thought and Action.

[9]  Jerry M. Mendel,et al.  Aggregation Using the Linguistic Weighted Average and Interval Type-2 Fuzzy Sets , 2007, IEEE Transactions on Fuzzy Systems.

[10]  Humberto Bustince,et al.  Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets , 2000, Int. J. Approx. Reason..

[11]  Wenhua Li,et al.  Parallel machine scheduling of machine-dependent jobs with unit-length , 2004, Eur. J. Oper. Res..

[12]  Javad Jassbi,et al.  A Fuzzy DEMATEL framework for modeling cause and effect relationships of strategy map , 2011, Expert Syst. Appl..

[13]  Chih-Hung Wu,et al.  Fuzzy DEMATEL method for developing supplier selection criteria , 2011, Expert Syst. Appl..

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

[15]  Jerry M. Mendel,et al.  Type-2 fuzzy sets made simple , 2002, IEEE Trans. Fuzzy Syst..

[16]  Jerry M. Mendel,et al.  Perceptual Reasoning for Perceptual Computing , 2008, IEEE Transactions on Fuzzy Systems.

[17]  Jerry M. Mendel,et al.  Encoding Words Into Interval Type-2 Fuzzy Sets Using an Interval Approach , 2008, IEEE Transactions on Fuzzy Systems.

[18]  K. R. Sudha,et al.  Data Encryption Technique Using Random Number Generator , 2007 .

[19]  M. Gorzałczany.  A method for inference in approximate reasoning based on interval-valued fuzzy sets , 1987 .

[20]  Jerry M. Mendel,et al.  A comparative study of ranking methods, similarity measures and uncertainty measures for interval type-2 fuzzy sets , 2009, Inf. Sci..

[21]  J. Mendel.  Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions , 2001 .

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

[23]  Jerry M. Mendel,et al.  Computing with words and its relationships with fuzzistics , 2007, Inf. Sci..

[24]  Simon Coupland,et al.  Type-2 Fuzzy Arithmetic using Alpha-planes , 2009, IFSA/EUSFLAT Conf..

[25]  A. Kaufmann,et al.  Introduction to fuzzy arithmetic : theory and applications , 1986 .

[26]  A. Gabus,et al.  Perceptions of the world problematique: communication procedure, communicating with those bearing collective responsibility , 1973 .

[27]  H. B. Mitchell.  Pattern recognition using type-II fuzzy sets , 2005, Inf. Sci..