计算机工程与应用 ›› 2014, Vol. 50 ›› Issue (3): 46-48.
• 理论研究、研发设计 • 上一篇 下一篇
赵 虎1，李生刚1，陈桂秀1，2
出版日期:
发布日期:
ZHAO Hu1, LI Shenggang1, CHEN Guixiu1，2
Online:
Published:
摘要： Molodtsov引入的软集理论，可作为通用的数学工具去处理不确定性问题。给出了模糊软子域和余模糊软子域的概念，对它们的性质进行了研究，此外，定义了模糊软子域和余模糊软子域间的模糊软同态和模糊软同构，给出了模糊软子域和余模糊软子域的同构像定理和同态逆像定理。
关键词: 模糊集, 模糊软集, 模糊软子域, 余模糊软子域
Abstract: Molodtsov introduces the concept of soft set theory which can be used as generic mathematical tool for dealing with uncertainty. In this paper, the notions of fuzzy soft subfields and co-fuzzy soft subfields are given. Some of their properties are studied. Furthermore, definitions of fuzzy soft homomorphism and fuzzy soft isomomorphism of fuzzy soft subfields and co-fuzzy soft subfields are defined and the theorems of isomomorphic image and homomorphic pre-image of fuzzy soft subfields and co-fuzzy soft subfields are given.
Key words: fuzzy set, fuzzy soft set, fuzzy soft subfields, co-fuzzy soft subfields
赵 虎1，李生刚1，陈桂秀1，2. 模糊软子域和余模糊软子域[J]. 计算机工程与应用, 2014, 50(3): 46-48.
ZHAO Hu1, LI Shenggang1, CHEN Guixiu1，2. Fuzzy soft subfields and co-fuzzy soft subfields[J]. Computer Engineering and Applications, 2014, 50(3): 46-48.
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