A decision making approach based on bipolar multi-fuzzy soft set theory

Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainty. In this work, bipolar multi-fuzzy soft set and its operations are introduced, and a few of their properties are studied. Finally, an algorithm is presented by means of positive and negative level soft sets, and an application based on bipolar multi-fuzzy soft sets in decision making is analyzed.

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

[2]  Young Bae Jun,et al.  Soft BCK/BCI-algebras , 2008, Comput. Math. Appl..

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

[4]  Ahmad Nazari Mohd Rose,et al.  Soft Set Theoretic Approach for Dimensionality Reduction , 2009, FGIT-DTA.

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

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

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

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

[9]  Feng Feng,et al.  Soft Rough Sets with Applications to Demand Analysis , 2009, 2009 International Workshop on Intelligent Systems and Applications.

[10]  Tsau Young Lin,et al.  Combination of interval-valued fuzzy set and soft set , 2009, Comput. Math. Appl..

[11]  Muhammad Irfan Ali,et al.  Another approach to soft rough sets , 2013, Knowl. Based Syst..

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

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

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

[15]  Zhi Xiao,et al.  The trapezoidal fuzzy soft set and its application in MCDM , 2012 .

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

[17]  Pinaki Majumdar,et al.  Generalised fuzzy soft sets , 2010, Comput. Math. Appl..

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

[19]  Naim Çagman,et al.  Soft matrix theory and its decision making , 2010, Comput. Math. Appl..

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

[21]  Ajoy Kumar Ray,et al.  Texture Classification Using a Novel, Soft-Set Theory Based Classification Algorithm , 2006, ACCV.

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

[23]  Jian Ma,et al.  Vague soft sets and their properties , 2010, Comput. Math. Appl..

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

[25]  A. R. Roy,et al.  An application of soft sets in a decision making problem , 2002 .

[26]  T. V. Ramakrishnan,et al.  Multi-fuzzy sets: An extension of fuzzy sets , 2011 .

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