中文

Journal of Applied Sciences ›› 2003, Vol. 21 ›› Issue (2): 132-136.

• Articles • Previous Articles     Next Articles

The Triple I Algorithm for the Implication I(x,y) Operator Based on Vague Sets

XU Zhang-yan1, LI Fan2, FENG Jia-li3   

  1. 1 College of Mathematics and Computer, Guangxi Normal University, Guilin 541004, China;
    2 College of Computer, Huazhong University of Science and Technology, Wuhan 430074, China;
    3 Department of Computer Science, Shanghai Maritime University, Shanghai 200135, China
  • Received:2002-07-03 Revised:2002-09-19 Online:2003-06-10 Published:2003-06-10

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Abstract: The definition of the implication operator of the interval set and a concrete implication operator are given. The calculation formulas of the triple IVMP algorithm for the implication I(x,y) operator based on Vague sets are obtained. The reversible properties of the triple IVMP algorithm are analyzed, and the essential conditions of the reversible properties of the triple IVMP algorithm for implication I(x,y) operator based on Vague sets are obtained. Because the Vague set is better than the Fuzzy set in expressing the uncertain knowledge, the triple I thinking is more believable and the triple IVMP algorithm is more satisfying in the uncertain reasoning.

Key words: Vague set, Fuzzy set, triple IVMP, the reversibility propety, implication operator of interval set

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