Generalized Intuitionistic Fuzzy Soft Sets and Its Applications

In this paper we define generalized intuitionistic fuzzy soft sets and set theoretical operations with illustrating examples. It also proposes a similarity measure for generalized intuitionistic fuzzy soft s et and used it to find out the similarity between synthetic texture and natural te xture. A congenial method for solving multi criteria decision making problem in g eneralized intuitionistic fuzzy soft set frame work is presented .

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

[2]  Chris Cornelis,et al.  INTUITIONISTIC FUZZY CONNECTIVES REVISITED , 2002 .

[3]  Bozena Kostek,et al.  Soft set approach to the subjective assessment of sound quality , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

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

[5]  Eric C. C. Tsang,et al.  The parameterization reduction of soft sets and its applications , 2005 .

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

[7]  Young Bae Jun,et al.  Soft semirings , 2008, Comput. Math. Appl..

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

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

[10]  Chris Cornelis,et al.  On the representation of intuitionistic fuzzy t-norms and t-conorms , 2004, IEEE Transactions on Fuzzy Systems.

[11]  Huawen Liu,et al.  Multi-criteria decision-making methods based on intuitionistic fuzzy sets , 2007, Eur. J. Oper. Res..

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

[13]  Jing Liu,et al.  Soft Sets and Soft Modules , 2008, RSKT.

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