FUZZY SOFT MATRIX THEORY AND ITS APPLICATION IN DECISION MAKING

In this work, we dene fuzzy soft ( fs) matrices and their opera- tions which are more functional to make theoretical studies in the fs-set theory. We then dene products of fs-matrices and study their properties. We nally construct a fs-max-min decision making method which can be successfully applied to the problems that contain uncertainties.

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

[2]  Yan Zou,et al.  Exclusive disjunctive soft sets , 2010, Comput. Math. Appl..

[3]  Y. Jun,et al.  SOFT WS-ALGEBRAS , 2008 .

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

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

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

[7]  N. Çagman,et al.  FUZZY SOFT SET THEORY AND ITS APPLICATIONS , 2011 .

[8]  Young Bae Jun,et al.  Fuzzy soft set theory applied to BCK/BCI-algebras , 2010, Comput. Math. Appl..

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

[10]  Young Bae Jun,et al.  Soft ordered semigroups , 2010, Math. Log. Q..

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

[12]  Steven Li,et al.  The normal parameter reduction of soft sets and its algorithm , 2008, Comput. Math. Appl..

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

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

[15]  Young Bae Jun,et al.  SOFT SET THEORY APPLIED TO COMMUTATIVE IDEALS IN BCK-ALGEBRAS , 2008 .

[16]  Xiaoyan Liu,et al.  On some new operations in soft set theory , 2009, Comput. Math. Appl..

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

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

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

[20]  Jianming Zhan,et al.  Soft p-ideals of soft BCI-algebras , 2009, Comput. Math. Appl..

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

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

[23]  Daowu Pei,et al.  From soft sets to information systems , 2005, 2005 IEEE International Conference on Granular Computing.

[24]  Mi Jung Son,et al.  Interval-valued Fuzzy Soft Sets , 2007 .

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

[26]  Bekir Tanay,et al.  Computers and Mathematics with Applications , 2022 .

[27]  Filiz Çitak,et al.  Fuzzy parameterized fuzzy soft set theory and its applications , 2010 .

[28]  Young Bae Jun,et al.  Pseudo d-algebras , 2009, Inf. Sci..

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

[30]  Athar Kharal,et al.  On Fuzzy Soft Sets , 2009, Adv. Fuzzy Syst..

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

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

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

[34]  Aslihan Sezgin Sezer,et al.  On operations of soft sets , 2011, Comput. Math. Appl..

[35]  Sunny Joseph Kalayathankal,et al.  A fuzzy soft flood alarm model , 2010, Math. Comput. Simul..

[36]  Young Bae Jun,et al.  Applications of soft sets in hilbert algebras , 2009 .

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

[38]  Naim Çagman,et al.  Soft set theory and uni-int decision making , 2010, Eur. J. Oper. Res..

[39]  Jianming Zhan,et al.  Soft R0-Algebras Based on Fuzzy Sets , 2010, J. Multiple Valued Log. Soft Comput..

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

[41]  Keyun Qin,et al.  On soft equality , 2010, J. Comput. Appl. Math..

[42]  Athar Kharal,et al.  Mappings on Fuzzy Soft Classes , 2009, Adv. Fuzzy Syst..

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

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

[45]  D. A. Molodtsov,et al.  Soft sets theory-based optimization , 2007 .

[46]  S. K. Samanta,et al.  SIMILARITY MEASURE OF SOFT SETS , 2008 .