Dempster-Shafer fuzzy soft sets for group decision- making based under incomplete information

This paper introduces the concept of Dempster-Shafer fuzzy soft sets combined Dempster-Shafer theory and fuzzy soft sets. We study the FUSE operation on both Dempster-Shafer fuzzy soft sets, and the relationship between incomplete fuzzy soft sets and D-S fuzzy soft sets. At last, we present a new method of evaluation based on Dempster-Shafer fuzzy soft sets and apply it into the information systems quality evaluating to illuminate the practicability and validity.

[1]  Tingquan Deng,et al.  An object-parameter approach to predicting unknown data in incomplete fuzzy soft sets , 2013 .

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

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

[4]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[5]  Bang-He Han,et al.  Pruning method for optimal solutions of intm-intn decision making scheme , 2013, Eur. J. Oper. Res..

[6]  Mustafa Mat Deris,et al.  A soft set approach for association rules mining , 2011, Knowl. Based Syst..

[7]  Arthur P. Dempster,et al.  Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[8]  Zhongsheng Hua,et al.  A DS-AHP approach for multi-attribute decision making problem with incomplete information , 2008, Expert Syst. Appl..

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

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

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

[12]  Won Keun Min,et al.  Full soft sets and full soft decision systems , 2014, J. Intell. Fuzzy Syst..

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