计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2014年
20期
45-47
,共3页
S-逻辑系统%积分相似度%伪距离
S-邏輯繫統%積分相似度%偽距離
S-라집계통%적분상사도%위거리
S-logic system%integral similarity degree%pseudo-metric
与通常相似度定义在真度基础上不同，在S-蕴涵模糊逻辑系统中提出了基于S-蕴涵算子的积分相似度。讨论了积分相似与逻辑等价的关系，给出了积分相似度的推理性质，提出了与积分相似度对应的伪距离。论证了伪距离空间中逻辑算子都是连续的。
與通常相似度定義在真度基礎上不同，在S-蘊涵模糊邏輯繫統中提齣瞭基于S-蘊涵算子的積分相似度。討論瞭積分相似與邏輯等價的關繫，給齣瞭積分相似度的推理性質，提齣瞭與積分相似度對應的偽距離。論證瞭偽距離空間中邏輯算子都是連續的。
여통상상사도정의재진도기출상불동，재S-온함모호라집계통중제출료기우S-온함산자적적분상사도。토론료적분상사여라집등개적관계，급출료적분상사도적추이성질，제출료여적분상사도대응적위거리。론증료위거리공간중라집산자도시련속적。
It is different from that the usual similarity degree is defined based on truth degree, this paper puts forward the integral similarity degree by use of S-implication operator in S-implication fuzzy logic system. Then the paper discusses the relationship between integral similarity and logical equivalence, gives the inference properties of the integral similarity degree, proposes the pseudo-metric corresponding to the integral similarity degree. The continuity of the logical operators in pseudo-metric space is proved.
