J4 ›› 2008, Vol. 43 ›› Issue (12): 56-60.

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Function one-direction SPF-rough sets and their probability characteristic

 SU Fen-Xiao, ZHANG Ling   

  1. School of Mathematics and System Science, Shandong University, Jinan 250100, Shandong, China
  • Received:2008-08-29 Online:2008-12-16 Published:2009-11-09

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Abstract:

Based on function S-rough sets and the randomness of function transfer, the concept of function one-direction SPF-rough sets was put forth, and their mathematical structure was given. The probability characteristic of function one-direction SPF-rough sets was also discussed. It was proved that a function one-direction SPF-rough set was the generalization of function one-direction SPF-rough sets, and the function one-direction S-rough sets was a special case of function one-direction SPF-rough sets according to the probability.

Key words: function S-rough sets; function one-direction S-rough sets; measure function of probability PF; function one-direction　SPF-rough sets

CLC Number: 

  • O159
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