7. Conclusion and future works
The HMM has been a dominant tool in sequential pattern recognition problems such as speech and handwriting recognition. Despite the powerful modeling structure of the HMM, its low consistency with the imprecise nature of speech and handwritten data has limited its performance. Although several studies have attempted to surmount these limitations, the problem still persists as no sequential pattern recognition tool is appropriately fast, robust to noisy data, and accurate enough to be an ultimate answer. To have a fast sequential pattern recognizer with a consistent structure, when imprecise input data are given, a fuzzy sequential pattern recognition tool was presented in this paper. We focused on the basic definition ofthe elements of a pattern recognition tool by introducing the fuzzy elastic pattern. Modeling speech and handwriting with fuzzy elastic patterns gives us the ability to model the skewing or stretching of a part in the input data, which is an inherent property in speech and handwritten data. Since this tool matches the input data with the fuzzy elastic pattern and benefits from the fuzzy linguistic description, itis called the Fuzzy Elastic Matching Machine (FEMM).
In comparison with previous fuzzy logic-based approaches, the elastic matching concept was included in FEMM, leading to a more consistent model with speech and handwritten data. The major difference between FEMM and previous methods which have attempted to consider the elasticity property in the HMMby including the state duration, is a structure devoid oftoo complex relations with the aid of fuzzy set theory. Consequently, FEMM is expected to have a higher recognition speed and more immunity to noise, compared with the HMMs.