基于取小t-模的模糊子格的度量  

The Measure of Fuzzy Sublattices Based on min t-norms

作　　者：黄飞[1] 廖祖华 HUANG Fei;MIAO Zu-hua(The Department of Basic,Wuxi Institute of Technology,Wuxi 214121,China;School of Science,Jiangnan University,Wuxi 214122,China)

机构地区：[1]无锡职业技术学院基础部,江苏无锡214121 [2]江南大学理学院,江苏无锡214122

出　　处：《模糊系统与数学》2018年第4期116-122,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61170121;11401259;61673193);江苏省自然科学基金资助项目(BK2015117)

摘　　要：本文首先给出了模糊子格度的新概念,然后利用模糊子格度讨论了格的模糊子集是模糊子格的程度。其次利用格的模糊集的(强)水平集得到了模糊子格度的等价刻画。最后给出了格的模糊子集的同态象与原象的模糊子格度的性质。In this paper, the new concept of measures of fuzzy sublattice was given firstly, then we use measures of fuzzy sublattice to discuss that the fuzzy subset is the degree of fuzzy sublattice. Second, equivalently describe of the measures of fuzzy sublattice was gotten by using the fuzzy sets （strong） level set of lattice. Finally, the measures of fuzzy sublattice properties about the homomorphism image and inverse image of the fuzzy subset of lattice was obtained.

关 键 词：取小t-模 R-蕴涵 模糊子格 度 

分 类 号：O159[理学—数学]