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应用科学学报 ›› 2003, Vol. 21 ›› Issue (2): 132-136.

• 论文 • 上一篇    下一篇

Vague集上基于蕴含算子I(x,y)的三I算法

徐章艳1, 李凡2, 冯嘉礼3   

  1. 1 广西师范大学数学与计算机学院 广西 桂林 541004;
    2 华中科技大学计算机学院 湖北 武汉 430074;
    3 上海海运学院计算机科学系 上海 200135
  • 收稿日期:2002-07-03 修回日期:2002-09-19 出版日期:2003-06-10 发布日期:2003-06-10
  • 作者简介:徐章艳(1972-),男,湖北罗田人,讲师,硕士.
  • 基金资助:
    国家自然科学基金(60075016);国家高性能计算基金(00303);广西师范大学青年科研基金(20000916)

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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摘要： 给出区间集上蕴含算子的定义和一个蕴含算子。利用三I思想,给出了Vague集上基于蕴含算子I (x,y)的三IVMP算法的计算公式,分析了三IVMP算法的还原性,并给出了基于区间集上蕴含算子I (x,y)的三IVMP算法具有还原性的本质条件.由于Vague集具有表达不确定性知识比Fuzzy集更为丰富的特点,三I思想更为可信,故在不确定性的推理中,三IVMP算法是较为令人满意的算法。

关键词: Vague集, 三IVMP, 还原性, 区间集上的蕴含算子, Fuzzy集

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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