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

页码：242 / 252

页数：11

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