Fuzzy Soft Set Semantics of Propositional Logic Formulas and Its Application to Decision Analysis
WU Xia1, ZHANG Jialu1, WANG Luda2
1.College of Mathematics and Finance, Xiangnan University, Chenzhou 423000 2.College of Software and Communication Engineering, Xiangnan University, Chenzhou 423000
Abstract Soft propositional logic formulas based on a fuzzy soft set S=(F,A) of domain U are introduced, and the fuzzy soft semantics interpretation of soft propositional logic formulas is provided. A decision fuzzy information system is transformed into a decision fuzzy soft set, and a soft decision rule is expressed as an implication logic formula composed of some atomic formulas. The concepts of basic truth degree, condition truth and absolute truth are introduced. The availability and the rationality of soft decision rule are evaluated from different aspects, such as sufficiency and necessity. An extraction algorithm of typical decision rules based on the decision soft set and a recommendation algorithm based on soft decision analysis are proposed, and the practical examples and numerical experiment verify the effectiveness of the proposed algorithms.
Fund:Supported by Natural Science Foundation of Hunan Province(No.2016JJ6138,2017JJ2241,2017JJ3287), Social Sciences Fund Project of Hunan Province(No.16YBA329,13YBB205),Science Research Project of Education Department of Hunan Province(No.16B244), Science Research Project of Xiangnan University(No.2014XJ54)
Corresponding Authors:
ZHANG Jialu, master, professor. His research interests include non-classical mathematical logics, approximate reasoning theory and intelligent information processing theory.
About author:: WU Xia, master, associate professor. Her research interests include non-classical mathe-matical logics and approximate reasoning theory.WANG Luda, Ph.D., engineer. His research interests include data analysis.
WU Xia,ZHANG Jialu,WANG Luda. Fuzzy Soft Set Semantics of Propositional Logic Formulas and Its Application to Decision Analysis[J]. , 2018, 31(3): 208-218.
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2018, Vol. 31 
