Applications of L-fuzzy soft sets in quantales

被引：0
|
作者：
Yang, Lingyun [1 ]
Zhang, Jiaxuan [1 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
来源：
DEVELOPMENTS OF ARTIFICIAL INTELLIGENCE TECHNOLOGIES IN COMPUTATION AND ROBOTICS | 2020年 / 12卷
基金：
中国国家自然科学基金;
关键词：
quantale; ideal; frame; completely distributive lattice; L-fuzzy soft set; L-fuzzy soft quantale homomorphism; ROUGHNESS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the notions of L-fuzzy soft quantales and L-fuzzy soft ideals over quantales are proposed. Some properties of L-fuzzy soft quantales (ideals) related to operations of L-fuzzy soft sets are investigated. In the case of fixed parameters, order properties of all L-fuzzy soft quantales (ideals) over a given quantale are discussed. Moreover, the concept of L-fuzzy soft quantale homomorphisms is introduced. It is proved that inverse images of L-fuzzy soft quantales (ideals) under L-fuzzy soft quantale homomorphisms are L-fuzzy soft quantales (ideals). It is also proved that under some certain conditions, images of L-fuzzy soft quantales (ideals) under L-fuzzy soft quantale homomorphisms are L-fuzzy soft quantales (ideals).
引用
收藏
页码：242 / 252
页数：11
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