1. Fuzzy-Entropy-Based Game Theoretic Shadowed Sets: A Novel Game Perspective From Uncertainty
- Author
-
Fan Zhao, Gao Man, Qinghua Zhang, and Guoyin Wang
- Subjects
Distribution (number theory) ,Computer science ,Applied Mathematics ,Fuzzy set ,Perspective (graphical) ,Process (computing) ,02 engineering and technology ,Interpretation (model theory) ,Consistency (database systems) ,Fuzzy entropy ,Computational Theory and Mathematics ,Artificial Intelligence ,Control and Systems Engineering ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Game theory ,Algorithm - Abstract
As a three-way approximation of fuzzy sets, shadowed sets has attracted extensive attention in recent years. A fundamental issue in the process of constructing shadowed sets is the interpretation and determination of the threshold pair (α,β), and the uncertainty consistency, that is, the consistency of fuzzy entropy. However, there may be a large fuzzy entropy loss between a fuzzy set and its corresponding game theoretic shadowed sets (GTSS), and the GTSS model is also accompanied by a large time cost when the precision of (α,β) is improved. Therefore, the fuzzy-entropy-based game theoretic shadowed sets (FeGTSS) is proposed in this paper from the perspective of fuzzy entropy loss. First, based on the compromise principle of game theory, the fuzzy entropy loss of shadowed sets is analyzed. Second, in the process of calculating (α,β), the optimal game strategy is searched based on the dichotomy algorithm. Third, the FeGTSS model is extended and discussed based on the analysis of different data distribution types. Finally, the rationality and validity of the FeGTSS model are illustrated through instances and experimental analysis.
- Published
- 2022