Rough Truth Degrees of Formulas and Approximate Reasoning in Rough Logic

被引：1
|
作者：
She, Yanhong [1 ]
He, Xiaoli [1 ]
Wang, Guojun [2 ]
机构：
[1] Xian Shiyou Univ, Coll Sci, Xian 710065, Peoples R China
[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
FUNDAMENTA INFORMATICAE | 2011年 / 111卷 / 02期
关键词：
Rough; (upper; lower) truth degree; lower) similarity degree; lower); pseudo-metric; Approximate reasoning; FUZZY LOGIC;
D O I：
10.3233/FI-2011-561
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A propositional logic PRL for rough sets was proposed in [1]. In this paper, we initially introduce the concepts of rough (upper, lower) truth degrees on the set of formulas in PRL. Then, by grading the rough equality relations, we propose the concepts of rough (upper, lower) similarity degree. Finally, three different pseudo-metrics on the set of rough formulas are obtained, and thus an approximate reasoning mechanism is established.
引用
收藏
页码：223 / 239
页数：17
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