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山东大学学报(理学版) ›› 2015, Vol. 50 ›› Issue (08): 40-45.doi: 10.6040/j.issn.1671-9352.0.2015.051

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关联模糊集理论的伪BL-代数的软滤子

彭家寅   

  1. 四川内江师范学院数学与信息科学学院, 四川 内江 641100
  • 收稿日期:2015-02-02 出版日期:2015-08-20 发布日期:2015-07-31
  • 作者简介:彭家寅(1962- ),男,博士,教授,研究方向为模糊数学. E-mail:pengjiayin62226@163.com
  • 基金资助:
    教育部与四川省“数学与应用数学专业综合改革”(ZG0464和01249);国家自然科学基金资助(11071178)

Soft filters of pseudo-BL algebras related to fuzzy set theory

PENG Jia-yin   

  1. School of Mathemayics and Information Science, Neijiang Normal University, Neijiang 641100, Sichuan, China
  • Received:2015-02-02 Online:2015-08-20 Published:2015-07-31

摘要: 引入了基于模糊集的∈-软集和q-软集的概念,给出了一个∈-软集和q-软集为伪BL-代数的软(蕴涵)滤子的若干刻画. 利用伪BL-代数的(∈,∈∨q)-模糊 (蕴涵) 滤子的概念, 给出一个∈-软集为软(蕴涵)滤子的描述.

关键词: 伪BL-代数, 软集, &isin, q-软集, 软 (蕴涵) 滤子, (&isin, &isin, &or, q)-模糊 (蕴涵) 滤子, 模糊集, -软集

Abstract: The notions of ∈-soft set and q-soft set based on a fuzzy set are introduced, and characterizations for an ∈-soft set and a q-soft set to be soft (implicative) filters of a pseudo-BL algebra are given. Using the notion of (∈,∈∨q)-fuzzy (implicative) filters of pseudo-BL algebras, characterizations for an ∈-soft set to be soft (implicative) filters are established.

Key words: pseudo-BL algebra, soft set, q-soft set, soft (implicative) filter, (∈,∈∨q)-fuzzy (implicative) filter, fuzzy set, ∈-soft set

中图分类号: 

  • O159
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