Vague relations and Vague mapping

doi:10.3778/j.issn.1002-8331.2010.03.012

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (3): 39-41.DOI: 10.3778/j.issn.1002-8331.2010.03.012

• 研究、探讨 • Previous Articles Next Articles

Vague relations and Vague mapping

FU Jin-qiang¹，YAO Bing-xue¹，WANG Zhong-hua²

1.School of Mathematics Science，Liaocheng University，Liaocheng，Shandong 252059，China
2.No.1 Middle School of Khotan Prefecture，Khotan，Xinjiang 848000，China

Received:2009-09-10 Revised:2009-10-26 Online:2010-01-21 Published:2010-01-21
Contact: FU Jin-qiang

Vague关系与Vague映射

傅金强¹，姚炳学¹，王中华²

1.聊城大学数学科学学院，山东聊城 252059
2.和田地区一中，新疆和田 848000

通讯作者: 傅金强

Abstract

Abstract: The problems of vague relations and the compositional operations on vague relations，which is a significant extension of fuzzy set theory by Zadeh，are systemically investigated，and some properties of vague relations are discussed.Based on that vague equal relation is studied.Then the concept of vague mapping is introduced，and various properties of vague mapping are established.

Key words: Vague sets, Vague relation, α_t, α_f-cut, Vague equal relation, Vague mapping

摘要： 在系统研究了作为Zadeh模糊集理论重要扩展的Vague关系及其合成运算，并就Vague关系的性质进行了讨论。在此基础上研究了Vague等价关系，给出了Vague映射的概念，讨论了Vague映射的一些性质。

关键词: Vague集, Vague关系, α_t, α_f-截集, Vague等价关系, Vague映射

CLC Number:

O159

FU Jin-qiang¹，YAO Bing-xue¹，WANG Zhong-hua². Vague relations and Vague mapping[J]. Computer Engineering and Applications, 2010, 46(3): 39-41.

傅金强¹，姚炳学¹，王中华². Vague关系与Vague映射[J]. 计算机工程与应用, 2010, 46(3): 39-41.

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Vague relations and Vague mapping

Vague关系与Vague映射

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