模糊Cut集

基于完备剩余格,本文在模糊完备格中,引入模糊Cut集概念。证明了所有的模糊Cut集构成的模糊集不仅是模糊完备格,而且还是模糊完全分配格。

模糊完备格中的逼近元（英文）

由于逼近元在刻画分明完全分配格中所起的重要作用,基于完备剩余格,在模糊完备格中引入了逼近元概念,它是分明情形之推广;为研究模糊完全分配格提供了另外一种方法.借助于逼近元,得到了模糊完全分配格和插入性质的一个等价刻画定理.

On the Category of L-fuzzifying TOP

In this paper, the category of L-FTOP and the relations with the categories of TOP,L α-FTOP are discussed.

Fuzzy Metrics Characterized by Molecules and Sets

Erceg in [1] extended the Hausdorff distance function betwen subsets of a set X to fuzzy settheory, and introduced a fuzzy pseudo-quasi-metric(p. q. metric) p: L^x xL^x -[0,∞] where L is acompletely distributive lattice, and the associated family of neighborhood mappings {Dr |r>O}. Thefuzzy metric space in Erceg's sense is denoted by (L^x, p, Dr) since there exists a one to one correspondence between fuzzy p. q. metrics and associatcd families of neighborhood mapping, a family{Dr|r>0}satisfying certain conditions is also callcd a (standard) fuzzy p. q metric. In [2] Liang defimed apointwise fuzzy p. q. metric d: P(L^x)×P(L^x)-[0, ∞) and applicd it to the construction of theproduct fuzzy metric. In this paper, we give axiomatic definitions of molcculewise and

模糊Prime元

基于完备剩余格,本文在模糊完备格中,引入模糊Prime元概念。给出了模糊Prime元的等价刻画,证明了所有的模糊Prime元构成的模糊集是模糊完全分配格。

模糊Quantale范畴中的投射对象

引入了模糊弱-稳定完全分配格的概念,证明了模糊序半群的下集格带有合适的运算是模糊弱-稳定完全分配格,给出了模糊Quantale是模糊弱-稳定完全分配格的充要条件;讨论了模糊Quantale中的投射对象,证明了模糊Quantale中的E-投射对象恰是模糊弱-稳定完全分配格。