A similarity-based fuzzy soft reasoning method

The soft set theory proposed by Molodtsov is regarded as an effective mathematical tool for dealing with uncertainties. This paper discusses the approximate reasoning based on the similarity measure for fuzzy soft set. The approximate reasoning methods based on the similarity measure for fuzzy soft modus ponens (FSMP) are investigated. The corresponding computational formulas for these methods are presented. Furthermore, the reductive properties and the monotonic properties of these methods are analyzed.

[1]  B. K. Tripathy,et al.  On Intuitionistic Fuzzy Soft Sets and Their Application in Decision-Making , 2016 .

[2]  Swapan Raha,et al.  Similarity based approximate reasoning: fuzzy control , 2008, J. Appl. Log..

[3]  Yan-Ping Meng,et al.  A fuzzy similarity inference method for fuzzy reasoning , 2008, Comput. Math. Appl..

[4]  Abhijit Saha,et al.  Intuitionistic fuzzy soft set relations intuitionistic fuzzy rough sets and their applications in decision making problems , 2015 .

[5]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

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

[7]  I. Burhan Türksen,et al.  An approximate analogical reasoning approach based on similarity measures , 1988, IEEE Trans. Syst. Man Cybern..

[8]  Hai Liu,et al.  Interval-valued intuitionistic fuzzy soft sets and their properties , 2010, Comput. Math. Appl..

[9]  Dan Meng,et al.  Combination of interval set and soft set , 2013, Int. J. Comput. Intell. Syst..

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

[11]  Zhicai Liu,et al.  A fuzzy soft set based approximate reasoning method , 2017, J. Intell. Fuzzy Syst..

[12]  Nikhil R. Pal,et al.  Similarity-based approximate reasoning: methodology and application , 2002, IEEE Trans. Syst. Man Cybern. Part A.

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

[14]  Jianming Zhan,et al.  A novel soft rough fuzzy set: Z-soft rough fuzzy ideals of hemirings and corresponding decision making , 2016, Soft Computing.

[15]  Jianming Zhan,et al.  On a novel uncertain soft set model: Z-soft fuzzy rough set model and corresponding decision making methods , 2017, Appl. Soft Comput..

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

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

[18]  Guo-Jun Wang,et al.  Unified forms of Triple I method , 2005 .

[19]  Shyi-Ming Chen,et al.  A weighted fuzzy reasoning algorithm for medical diagnosis , 1994, Decis. Support Syst..

[20]  秦克云,et al.  Properties of Raha’s similarity-based approximate reasoning method , 2016 .

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

[22]  Myung-Geun Chun,et al.  A similarity-based bidirectional approximate reasoning method for decision-making systems , 2001, Fuzzy Sets Syst..

[23]  Dan Meng,et al.  Properties of Raha's similarity-based approximate reasoning method , 2016, Fuzzy Sets Syst..

[24]  Xiaohong Zhang,et al.  Lattice-valued interval soft sets - A general frame of many soft set models , 2014, J. Intell. Fuzzy Syst..

[25]  K. Qin,et al.  Similarity measures of interval-valued fuzzy sets , 2015, J. Intell. Fuzzy Syst..

[26]  Zheng Pei,et al.  Similarity Measure and Entropy of Fuzzy Soft Sets , 2014, TheScientificWorldJournal.

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

[28]  Ronald R. Yager,et al.  On some new classes of implication operators and their role in approximate reasoning , 2004, Inf. Sci..

[29]  Cun-Gen Liu,et al.  On Similarity-based Approximate Reasoning in Interval-valued Fuzzy Environments , 2012, Informatica.