strong fuzzy compact

Last-modified: 2010-06-02 (水) 09:48:35

定義

  • A L-cotopological space? (X,δ) is said to be strong fuzzy compact if imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%28X%2c%5ciota%5e%7bop%7d_%7bL%2cr%7d%28%5cdelta%29%29%20%5c%5d%7d%25.png is compact for each r ∈ Copr(L).
  • imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5ciota%5e%7bop%7d_%7bL%2cr%7d%28%5cdelta%29=%5c%7b%5ciota%5e%7bop%7d_%7bL%2cr%7d%28B%29%7c%5c%20B%5cin%5cdelta%5c%7d%5ctext%7b%20and%20%7d%5ciota%5e%7bop%7d_%7bL%2cr%7d%28B%29=%5c%7bx%5cin%20X%7c%5c%20B%28x%29%5cgeq%20r%5c%7d%5c%20%28r%5cin%20L%29%20%5c%5d%7d%25.png
  • Copr(L) is the set of all co-prime elements? of L.
  • imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5b%5cdelta%5d=%5c%7bA%5cin%5cdelta%5c%20%7c%5c%20A%5ctext%7b%20is%20a%20crisp%20set%7d%5c%7d%20%5c%5d%7d%25.png
  • imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cdisplaystyle%20%5ciota%5e%7bop%7d_L%28%5cdelta%29=%5cleft%5clangle%5cleft%5clangle%5b%5cdelta%5d%5ccup%5cleft%28%5cbigcup_%7br%5cin%20Copr%28L%29%7d%5ciota%5e%7bop%7d_%7bL%2cr%7d%28%5cdelta%29%5cright%29%5cright%5crangle%5cright%5crangle%20%5c%5d%7d%25.png

性質

出典

  • Li Sheng-Gang, Li Hai-Yang and Fu Wen-Qing, (IC) L-cotopological spaces , Fuzzy Sets Syst. 158, No. 11, 1226-1236 (2007).