直觉模糊混合理论及其在弹道目标识别中的应用研究

Intuitionistic Fuzzy Sets (IFS) is an important extension and evolution of Zadeh fuzzy sets, and IFS theory is with good properties of combinableness. IFS theory syncretized with relational theories is one of the approaches to inauguration and evalution of novel kinds of methods for information processing with uncertainty. To the typical problem of targets recognition of ballistic missiles with uncertainty, we will conduct an into investigation in intuitionistic fuzzy hybrid theories and their applications in ballistic target recognition (BTR). By carrying on an investigation into the syncretized problems of IFS theory combined with time series analysis (TSA) theory, and with Petri net theory, and with kernel matching pursuit (KMP) theory, we will explore or discover the syncretized rules and axioms of IFS theory with relational theories. By carrying on an investigation into intuitionistic fuzzy time series analysis (TSA) theory,intuitionistic fuzzy Petri net (IFPN) and theory intuitionistic fuzzy KMP theory, we will seek for evolution of methods of information processing for solving problems with uncertainty based on intuitionistic fuzzy hybrid theories. By carrying on breaking through the key problems of applications of intuitionistic fuzzy hybrid theories in ballistic target recognition (BTR), we would educe or propose three kinds of valid techniques for BTR based on intuitionistic fuzzy TSA theory, on IFPN theory,and on intuitionistic fuzzy KMP theory. The conduction of this research with the expected results will be provided with quite inportant theoretical significance and practical worthiness for advancing the power of air defense against missiles and early warning in strategy.

直觉模糊集(IFS)是对Zadeh模糊集的重要扩充和发展,具有良好的结合性。IFS理论与相关理论相融合是开辟和发展新的不确定信息处理方法的重要途径之一。针对求解弹道目标识别这一典型的不确定性难题,深入研究直觉模糊混合理论及其在弹道目标识别中的应用问题。通过研究IFS理论与时间序列分析理论、与Petri网理论、与核匹配追踪(KMP)理论的融合机理，探索发现IFS理论的融合规律及公理；通过研究直觉模糊时间序列分析理论、直觉模糊Petri网理论、直觉模糊KMP理论，寻求发展直觉模糊混合理论求解不确定性问题的信息处理方法；通过突破直觉模糊混合理论在弹道目标识别中的应用等关键问题,得出有效的基于直觉模糊时间序列分析理论、基于直觉模糊Petri网理论、基于直觉模糊KMP理论的弹道目标识别方法。本项目的开展及其预期研究成果，对于提升我国防空反导和战略预警能力具有十分重要的理论意义和实用价值。

本项目对IFS理论与时间序列分析、Petri网、核匹配追踪等相关理论的结合问题进行研究，探索发现这些不确定性处理理论相互结合的规律和公理。在直觉模糊时间序列时域分析问题研究方面，解决了直觉模糊向量时间序列模型的识别与定阶问题，得出基于矢量量化的长期直觉模糊时间序列预测方法，提出基于直觉模糊时间序列分析理论的弹道目标识别方法。在直觉模糊Petri网研究方面，解决了直觉模糊Petri网的构建与优化问题，提出了基于直觉模糊Petri网的时间推理方法及空间推理方法，提出了基于直觉模糊时空Petri网的弹道目标识别方法，形成了直觉模糊Petri网理论。在直觉模糊KMP理论及其应用研究方面，提出了基于核方法的直觉模糊聚类算法、基于直觉模糊 KMP理论的弹道目标识别方法、基于直觉模糊聚类KMP的弹道目标识别方法，形成了直觉模糊核匹配追踪理论，促进弹道导弹目标识别等相关领域问题的合理解决。形成的直觉模糊时间分析理论、直觉模糊Petri网理论、直觉模糊核匹配追踪理论，成为了新的求解不确定性问题的信息处理方法。. 本项目的研究推动了基于直觉模糊混合理论的不确定性信息处理理论与技术的发展，促进了IFS理论与时间序列分析理论的融合问题、IFS理论与Petri网理论的融合问题、IFS理论与KMP理论的融合问题、直觉模糊混合理论的应用问题等关键科学问题的解决，具有重要的科学意义和理论价值，本项目的研究成果对我国国防建设特别是防空反导、战略预警能力建设具有十分重要的理论意义和应用价值。