计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2014年
3期
46-48,111
,共4页
赵虎%李生刚%陈桂秀
趙虎%李生剛%陳桂秀
조호%리생강%진계수
模糊集%模糊软集%模糊软子域%余模糊软子域
模糊集%模糊軟集%模糊軟子域%餘模糊軟子域
모호집%모호연집%모호연자역%여모호연자역
fuzzy set%fuzzy soft set%fuzzy soft subfields%co-fuzzy soft subfields
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。
Molodtsov引入的軟集理論,可作為通用的數學工具去處理不確定性問題。給齣瞭模糊軟子域和餘模糊軟子域的概唸,對它們的性質進行瞭研究,此外,定義瞭模糊軟子域和餘模糊軟子域間的模糊軟同態和模糊軟同構,給齣瞭模糊軟子域和餘模糊軟子域的同構像定理和同態逆像定理。
Molodtsov인입적연집이론,가작위통용적수학공구거처리불학정성문제。급출료모호연자역화여모호연자역적개념,대타문적성질진행료연구,차외,정의료모호연자역화여모호연자역간적모호연동태화모호연동구,급출료모호연자역화여모호연자역적동구상정리화동태역상정리。
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.