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| 连续值Luk系统中公式的Γ-真度及其性质 | |
| 引用本文： | 杨进峰,崔艳丽,吴洪博. 连续值Luk系统中公式的Γ-真度及其性质[J]. 计算机工程与应用, 2011, 47(13): 30-32. DOI: 10.3778/j.issn.1002-8331.2011.13.009 |
| 作者姓名： | 杨进峰 崔艳丽 吴洪博 |
| 作者单位： | 1. 汉中职业技术学院,陕西,汉中,723000 2. 汉中职业技术学院,陕西,汉中,723000;陕西师范大学,数学与信息科学学院,西安,710062 3. 陕西师范大学,数学与信息科学学院,西安,710062 |
| 基金项目： | 国家自然科学基金，陕西师范大学重点科研基金 |
| 摘 要： | 对Lukasiewicz系统中的真度理论进行了进一步的研究。将n值Lukasiewicz系统中公式相对于有限理论的ΣΓ-真度理论与连续值Lukasiewicz系统中公式的积分真度相结合，在连续值Lukasiewicz系统中引入了公式相对于有限理论的Γ-真度理论，讨论了其中的主要性质；在公式集F(S)上引入了任意两公式相对于有限理论的Γ-伪距离，从而拓宽了真度理论的应用范围。 |
| 关 键 词： | 模糊逻辑 Lukasiewicz系统 有限理论 积分真度 Γ-真度 Γ-伪距离 |
| 修稿时间： | |
Theory of F-truth degree of formulas in continuous-valued Lukasiewicz system and its properties |
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| YANG Jinfeng,CUI Yanli,WU Hongbo. Theory of F-truth degree of formulas in continuous-valued Lukasiewicz system and its properties[J]. Computer Engineering and Applications, 2011, 47(13): 30-32. DOI: 10.3778/j.issn.1002-8331.2011.13.009 | |
| Authors: | YANG Jinfeng CUI Yanli WU Hongbo |
| Affiliation: | 1.Hanzhong Vocational and Technical College,Hanzhong,Shaanxi 723000,China 2.College of Mathematics & Information Science,Shaanxi Normal University,Xi’an 710062,China |
| Abstract: | The truth degree theory of Lukasiewicz system is further studied.Having combined the theory of ΣΓ -truth degree of formulas in n-valued Lukasiewicz system with the integrated truth degree theory in continuous-valued Lukasiewicz system,the concept of Γ-truth degree of formulas is introduced which is relative to the finite theory in continuous-valued Lukasiewicz system,and some essential properties are discussed.Simultaneously,the Γ-pseudo-metric on F（S） is established in Lukasiewicz system by employing the theory of Γ-truth degree.These results can broaden the scope of application of truth degree theory. |
| Keywords: | fuzzy logic Lukasiewicz system finite theory integrated truth degree Γ-truth degree Γ-pseudo-metric |
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