Dynamic Fuzzy Machine Learning

Definition 4.26 If DF concept $\left(\stackrel{\leftharpoonup }{c},\stackrel{\rightharpoonup }{c}\right)=\left(\left(\stackrel{\leftharpoonup }{X},\stackrel{\rightharpoonup }{X}\right),\left(\stackrel{\leftharpoonup }{Y},\stackrel{\rightharpoonup }{Y}\right)\right)$ has only one direct child node, DF concept is the DF critical concept. Otherwise, it is called the DF extension concept.

According to the above definition, if the critical concept is $({\stackrel{\leftharpoonup }{c}}_1,{\stackrel{\rightharpoonup }{c}}_1)=(({\stackrel{\leftharpoonup }{x}}_1,{\stackrel{\rightharpoonup }{x}}_1).$$({\stackrel{\leftharpoonup }{y}}_1,{\stackrel{\rightharpoonup }{y}}_1)),({\stackrel{\leftharpoonup }{x}}_2,{\stackrel{\rightharpoonup }{x}}_2),({\stackrel{\leftharpoonup }{y}}_2,{\stackrel{\rightharpoonup }{y}}_2))),\dots ,(({\stackrel{\leftharpoonup }{x}}_m,{\stackrel{\rightharpoonup }{x}}_m),({\stackrel{\leftharpoonup }{y}}_m,{\stackrel{\rightharpoonup }{y}}_m))$ in dynamic fuzzy background $B:(X,Y,I),(\stackrel{\leftharpoonup }{X},\stackrel{\rightharpoonup }{X})=({\stackrel{\leftharpoonup }{x}}_1,{\stackrel{\rightharpoonup }{x}}_1)\cup ({\stackrel{\leftharpoonup }{x}}_2,{\stackrel{\rightharpoonup }{x}}_2)\cup \dots ({\stackrel{\leftharpoonup }{x}}_m,{\stackrel{\rightharpoonup }{x}}_m)\mathrm{and}Y=({\stackrel{\leftharpoonup }{y}}_1,{\stackrel{\rightharpoonup }{y}}_1)$$\cap ({\stackrel{\leftharpoonup }{y}}_2,{\stackrel{\rightharpoonup }{y}}_2)\cap \dots ({\stackrel{\leftharpoonup }{y}}_{}$