区间集非交换剩余格〈∈,∈Q〉-广义fuzzy奇异滤子的构造与属性约简

doi:10.6040/j.issn.1671-9352.4.2021.005

摘要/Abstract

摘要： 基于区间集思想、滤子理论和广义奇异概念,引入了区间集非交换剩余格和区间集非交换剩余格广义奇异滤子的定义,提出了构造区间集非交换剩余格广义fuzzy奇异滤子与区间集非交换剩余格〈∈,∈Q〉-广义fuzzy奇异滤子的方法,并给出它们之间的递进式本质属性与区间集相对必要属性的关系,体现代数结构表达的多样性与相对独立性。

关键词: 区间集, 区间集非交换剩余格, 广义fuzzy奇异滤子, 〈∈,∈Q〉-广义fuzzy奇异滤子, 构造, 属性约简

Abstract: Based on the idea of interval-set, filter theory and generalized singular concept, the definitions of interval-set non-commutative residual lattices and interval-set non-commutative residual lattices generalized singular filters are introduced, the methods of constructing generalized fuzzy singular filters on interval-set non-commutative residual lattices and interval-set non-commutative residual lattices 〈∈,∈Q〉-generalized fuzzy singular filters are proposed, the relation between the essential attribute of the progressive form and the relative necessary attribute of interval-set is given, which embodies the diversity and relative independence of the algebraic structure.

Key words: interval-set, interval-set non-commutative residual lattices, generalized fuzzy singular filter, 〈∈,∈Q〉-generalized fuzzy singular filter, structure, attribute reduction

中图分类号:

O141

罗俊丽,乔希民,吴洪博. 区间集非交换剩余格〈∈,∈Q〉-广义fuzzy奇异滤子的构造与属性约简[J]. 《山东大学学报(理学版)》, 2022, 57(3): 49-57.

LUO Jun-li, QIAO Xi-min, WU Hong-bo. Structure and attribute reduction on non-commutative residual lattices 〈∈,∈Q〉-generalized fuzzy singular filter of interval-set[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(3): 49-57.

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