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soft topology

Last-modified: 2012-02-13 (月) 18:09:21

Definition Edit

  • Let T be the collection of soft sets over X, then T is said to be a soft topology on X if
  1. imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5cemptyset%2c%5c%20%5cwidetilde%7bX%7d%20%5c%5d%7d%25.png belong to T
  2. the union of any number of soft sets in T belongs to T
  3. the intersection of any two soft sets in T belongs to T .

(imgtex.fcgi?%5bres=100%5d%7b%5c%5b%5c%20%5cwidetilde%7bX%7d%20%5c%5d%7d%25.png is the soft set (X , E) which X (α)=X for all α ∈ E.)

Reference Edit

  • Molodtsov, D. Soft set theory -first results. (English summary), Global optimization, control, and games, III. Comput. Math. Appl. 37 (1999), no. 4-5, 19-31.