BL-代数的 (∈γ ,∈γVqδ)-直觉模糊(软)滤子

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  • Department of Mathematics, Northwest University



YANG Yong-wei(1984-), male, native of Shangqiu, Henan, a Ph.D. candidate of Northwest University, engages in fuzzy algebras, logic algebras; XIN Xiao-long(1955-), male, native of Xi'an, Shaanxi, a professor of Northwest University, Ph.D., engages in logic algebras; HE Peng-fei(1986-), male, native of Xi'an, Shaanxi, a Ph.D. candidate of Northwest University, M.S.D., engages in fuzzy algebras, rough set theory.

收稿日期: 2012-09-11

  网络出版日期: 2022-12-13

基金资助

Supported by the Graduate Independent Innovation Foundation of Northwest University (YZZ12061)

(∈γ ,∈γVqδ) -intuitionistic Fuzzy(Soft) Filter of BL-algebras

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  • Department of Mathematics, Northwest University
YANG Yong-wei(1984-), male, native of Shangqiu, Henan, a Ph.D. candidate of Northwest University, engages in fuzzy algebras, logic algebras; XIN Xiao-long(1955-), male, native of Xi'an, Shaanxi, a professor of Northwest University, Ph.D., engages in logic algebras; HE Peng-fei(1986-), male, native of Xi'an, Shaanxi, a Ph.D. candidate of Northwest University, M.S.D., engages in fuzzy algebras, rough set theory.

Received date: 2012-09-11

  Online published: 2022-12-13

Supported by

Supported by the Graduate Independent Innovation Foundation of Northwest University (YZZ12061)

摘要

In the paper, in order to further study the properties of filters of BL-algebras, we propose the concepts of the (∈γ,∈γVqδ)-intuitionistic fuzzy filters and (∈γ,∈γVqδ)-intuitionistic fuzzy soft filters of BL-algebras and derive some related results. Finally, we discuss the properties of images and inverse images of (∈γ,∈γVqδ)-intuitionistic fuzzy soft filters of BL-algebras.

本文引用格式

杨永伟, 辛小龙, 贺鹏飞 . BL-代数的 (∈γ ,∈γVqδ)-直觉模糊(软)滤子[J]. 数学季刊, 2014 , 29(1) : 65 -75 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.01.009

Abstract

In the paper, in order to further study the properties of filters of BL-algebras, we propose the concepts of the (∈γ,∈γVqδ)-intuitionistic fuzzy filters and (∈γ,∈γVqδ)-intuitionistic fuzzy soft filters of BL-algebras and derive some related results. Finally, we discuss the properties of images and inverse images of (∈γ,∈γVqδ)-intuitionistic fuzzy soft filters of BL-algebras.
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