计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2015年
2期
21-25
,共5页
商空间理论%直觉模糊距离%直觉模糊等价关系%直觉模糊商空间
商空間理論%直覺模糊距離%直覺模糊等價關繫%直覺模糊商空間
상공간이론%직각모호거리%직각모호등개관계%직각모호상공간
quotient space theory%intuitionistic fuzzy distance%intuitionistic fuzzy equivalent relation%intuitionistic fuzzy quotient space
把商空间理论推广到直觉模糊集理论中，建立直觉模糊商空间。定义直觉模糊等价关系和直觉模糊距离。建立基于直觉模糊等价关系的商空间基本定理。证明由有序的直觉模糊等价关系簇诱导的直觉模糊商空间构成一个完备半序格。
把商空間理論推廣到直覺模糊集理論中，建立直覺模糊商空間。定義直覺模糊等價關繫和直覺模糊距離。建立基于直覺模糊等價關繫的商空間基本定理。證明由有序的直覺模糊等價關繫簇誘導的直覺模糊商空間構成一箇完備半序格。
파상공간이론추엄도직각모호집이론중，건립직각모호상공간。정의직각모호등개관계화직각모호거리。건립기우직각모호등개관계적상공간기본정리。증명유유서적직각모호등개관계족유도적직각모호상공간구성일개완비반서격。
The quotient space theory is extended into intuitionistic fuzzy set theory, and intuitionistic fuzzy quotient space is established. An intuitionistic fuzzy equivalent relation and distance are defined. An elementary theory of intuitionistic fuzzy quotient space based on intuitionistic fuzzy equivalent relation is established. A cluster of intuitionistic fuzzy quotient spaces induced by a cluster of ordered intuitionistic fuzzy equivalent relations constitutes a complete semi-order lattice.
