多值逻辑系统L_(n)中公式相对于有限理论Г的Camberra-真度理论  

The Camberra-fuzzy Truth Degree of Formula being relative to Finite theory Г in Multiple-valued Logic System L_(n)

作　　者：于鸿丽[1] 吴洪博[2] YU Hong-li;WU Hong-bo(Department of Mathematics.School of Information Engineering.Xi'an University,Xi'an 710065,China;College of Mathematics and Information Science.Shaanxi Normal University,Xi'an 710062,China)

机构地区：[1]西安文理学院信息工程学院数学系,陕西西安710065 [2]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《模糊系统与数学》2021年第5期58-64,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61572016)。

摘　　要：将模糊集间的Camberra距离引入到命题演算系统L_(n)中,定义了公式间相对于有限理论Г的Camberra-距离、Camberra-相似度与Camberra-真度,探讨了L_(n)中公式相对于有限理论Г的Camberra-真度的性质,为多值命题逻辑系统的研究及模糊推理研究提供了一种新的思路和方法。By introducing Camberra distances between fuzzy sets into the propositional logic system L_(n), Camberra-distance, Camberra-similarity and Camberra-truth degree between formulas being relative to finite theory Γ were defined, the Camberra-truth degree properties of formulas being relative to theory Γ in logic system L_(n) were probed into, a new method of the truth-degree study and fuzzy reasoning in multi-valued propositional logic was provided.

关 键 词：Camberra模糊距离 Camberra-真度﹔有限理论 逻辑系统L_(n) 

分 类 号：O141[理学—数学]