A Novel Measured Function for MCDM Problem Based on Interval-Valued Intuitionistic Fuzzy Sets

Several papers have presented measured function to handle multi-criteria fuzzy decision-making problems based on interval-valued intuitionistic fuzzy sets. However, in some cases, the proposed function cannot give sufficient information about alternatives. Consequently, in this paper, we will overcome previous insufficient problem and provide a novel accuracy function to measure the degree of the interval-valued intuitionistic fuzzy information. And a practical example has been provided to demonstrate our proposed approach. In addition, to make computing and ranking results easier and to increase the recruiting productivity, a computer-based interface system has been developed for decision makers to make decisions more efficiently.

[1]  Chung-Hsing Yeh,et al.  Modeling subjective evaluation for fuzzy group multicriteria decision making , 2009, Eur. J. Oper. Res..

[2]  Walter J.M. Kickert,et al.  Fuzzy Theories on Decision Making: A Critical Review , 1979 .

[3]  Etienne E. Kerre,et al.  On the relationship between some extensions of fuzzy set theory , 2003, Fuzzy Sets Syst..

[4]  Guangtao Fu,et al.  A fuzzy optimization method for multicriteria decision making: An application to reservoir flood control operation , 2008, Expert Syst. Appl..

[5]  Pedro Burillo López,et al.  A theorem for constructing interval-valued intuitionistic fuzzy sets from intuitionistic fuzzy sets , 1995 .

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

[7]  Miin-Shen Yang,et al.  Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance , 2004, Pattern Recognit. Lett..

[8]  S. K. Samanta,et al.  Topology of interval-valued intuitionistic fuzzy sets , 2001, Fuzzy Sets Syst..

[9]  K. Atanassov.  Operators over interval valued intuitionistic fuzzy sets , 1994 .

[10]  Dug Hun Hong,et al.  Multicriteria fuzzy decision-making problems based on vague set theory , 2000, Fuzzy Sets Syst..

[11]  Shyi-Mig Chen,et al.  A new approach to handling fuzzy decision-making problems , 1988, [1988] Proceedings. The Eighteenth International Symposium on Multiple-Valued Logic.

[12]  Jun Ye,et al.  Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment , 2009, Expert Syst. Appl..

[13]  Petr Ekel,et al.  Decision making in a fuzzy environment and its application to multicriteria power engineering problems , 2007 .

[14]  Humberto Bustince,et al.  Vague sets are intuitionistic fuzzy sets , 1996, Fuzzy Sets Syst..

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

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

[17]  Ying-Ming Wang,et al.  A fuzzy group decision making approach for bridge risk assessment , 2007, Comput. Ind. Eng..

[18]  Jian Jhen Chen,et al.  Approach to Group Decision Making Based on Interval-Valued Intuitionistic Judgment Matrices , 2007 .

[19]  Humberto Bustince,et al.  Correlation of interval-valued intuitionistic fuzzy sets , 1995, Fuzzy Sets Syst..

[20]  Joo Hyun Moon,et al.  Use of a fuzzy decision-making method in evaluating severe accident management strategies , 2002 .

[21]  W.-L. Gau,et al.  Vague sets , 1993, IEEE Trans. Syst. Man Cybern..

[22]  Dug Hun Hong,et al.  A note on correlation of interval-valued intuitionistic fuzzy sets , 1998, Fuzzy Sets Syst..