Fuzzy soft set based decision making: a novel alternative approach

We take advantage of a recent development in Social Choice in order to propose a new algorithm for the prioritization of objects characterized by fuzzy soft sets. It benefits from the performance of an endogenous scoring rule recently proposed by Herrero [1]. Our procedure constructs a “comparison matrix” and grades the objects according to the corresponding component of an eigenvector associated with its dominant eigenvalue. This eigenvector can be easily calculated because the dominant eigenvalue is computed directly from the size of the tabular representation of the problem.

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

[2]  Bijan Davvaz,et al.  Soft sets combined with fuzzy sets and rough sets: a tentative approach , 2010, Soft Comput..

[3]  José Carlos Rodriguez Alcantud,et al.  Hesitant Fuzzy Worth: An innovative ranking methodology for hesitant fuzzy subsets , 2016, Appl. Soft Comput..

[4]  Carmen Herrero Blanco.  An Endogeneous scoring rule , 2016 .

[5]  R. A.,et al.  An Application of Soft Sets in A Decision Making Problem , 2002 .

[6]  Naim Çag ˘ man,et al.  Soft set theory and uni-int decision making , 2010 .

[7]  Jie Liu,et al.  Elicitation criterions for restricted intersection of two incomplete soft sets , 2014, Knowl. Based Syst..

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

[9]  Muhammad Irfan Ali,et al.  A note on soft sets, rough soft sets and fuzzy soft sets , 2011, Appl. Soft Comput..

[10]  Young Bae Jun,et al.  Soft sets and soft rough sets , 2011, Inf. Sci..

[11]  José Carlos Rodriguez Alcantud,et al.  A novel algorithm for fuzzy soft set based decision making from multiobserver input parameter data set , 2016, Inf. Fusion.

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

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

[14]  Ju Wang,et al.  Extending soft sets with description logics , 2010, Comput. Math. Appl..

[15]  A. R. Roy,et al.  Soft set theory , 2003 .

[16]  Yan Zou,et al.  Data analysis approaches of soft sets under incomplete information , 2008, Knowl. Based Syst..

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

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

[19]  Hai Liu,et al.  Extending fuzzy soft sets with fuzzy description logics , 2011, Knowl. Based Syst..

[20]  Xiaohong Chen,et al.  Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making , 2014, J. Appl. Math..

[21]  Liqun Gao,et al.  Letter to the editor: Comment on A fuzzy soft set theoretic approach to decision making problems , 2009 .

[22]  Feng Feng,et al.  Soft subsets and soft product operations , 2013, Inf. Sci..

[23]  Ying Zhou,et al.  Soft discernibility matrix and its applications in decision making , 2014, Appl. Soft Comput..