Decision-making approach with entropy weight based on intuitionistic fuzzy soft set

This paper analyzes the limitations of Jiang et al. ap- proach to intuitionistic fuzzy soft sets based decision making, then a new entropy measure based on the degree of intuitionistic fuzziness is presented to calculate the weights of criteria of alternatives. By level soft sets and score functions, a novel decision-making approach with entropy weight is proposed. The method considers not only the given condition, but also the numbers of criteria of alternatives satisfled the given condition. Finally, examples are given showing that its practicality and efiectiveness. 2010 AMS Classiflcation: 03E72, 54A40

[1]  Naim Çagman,et al.  Soft sets and soft groups , 2007, Inf. Sci..

[2]  Young Bae Jun,et al.  An adjustable approach to fuzzy soft set based decision making , 2010, J. Comput. Appl. Math..

[3]  Pabitra Kumar Maji,et al.  FUZZY SOFT SETS , 2001 .

[4]  Liu Qing.  Algebra properties and fuzzy entropy of Vague sets , 2010 .

[5]  Congcong Meng,et al.  The multi-fuzzy soft set and its application in decision making , 2013 .

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

[7]  Zhi Xiao,et al.  A combined forecasting approach based on fuzzy soft sets , 2009 .

[8]  A. R. Roy,et al.  A fuzzy soft set theoretic approach to decision making problems , 2007 .

[9]  Young Bae Jun,et al.  Soft set theory applied to ideals in d-algebras , 2009, Comput. Math. Appl..

[10]  Gui-Wu Wei,et al.  Gray relational analysis method for intuitionistic fuzzy multiple attribute decision making , 2011, Expert Syst. Appl..

[11]  Yong Tang,et al.  An adjustable approach to intuitionistic fuzzy soft sets based decision making , 2011 .

[12]  Feng Feng,et al.  Application of level soft sets in decision making based on interval-valued fuzzy soft sets , 2010, Comput. Math. Appl..

[13]  Janusz Kacprzyk,et al.  Entropy for intuitionistic fuzzy sets , 2001, Fuzzy Sets Syst..

[14]  Pabitra Kumar Maji,et al.  A Neutrosophic Soft Set Approach to a Decision Making Problem , 2013 .

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

[16]  Zhi Kong,et al.  Application of fuzzy soft set in decision making problems based on grey theory , 2011, J. Comput. Appl. Math..

[17]  Y. Jun,et al.  Intersectional soft BCK/BCI-ideals , 2012 .

[18]  Feng Feng,et al.  Generalized uni-int decision making schemes based on choice value soft sets , 2012, Eur. J. Oper. Res..

[19]  D. Molodtsov.  Soft set theory—First results , 1999 .

[20]  Feng Feng,et al.  Soft rough sets applied to multicriteria group decision making , 2011 .

[21]  Young Bae Jun,et al.  Applications of soft sets in ideal theory of BCK/BCI-algebras , 2008, Inf. Sci..

[22]  Francisco Herrera,et al.  A fusion approach for managing multi-granularity linguistic term sets in decision making , 2000, Fuzzy Sets Syst..

[23]  Wenyi Zeng,et al.  The relationship between similarity measure and entropy of intuitionistic fuzzy sets , 2012, Inf. Sci..