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

YANG Yong-wei, XIN Xiao-long, HE Peng-fei

doi:10.13371/j.cnki.chin.q.j.m.2014.01.009

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 1: 65 - 75

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.01.009

(∈_γ ,∈_γVq_δ) -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)

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Abstract

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

Key words： BL-algebras; intuitionistic fuzzy sets; (∈_γ,∈_γVq_δ)-intuitionistic fuzzy filters; soft sets

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YANG Yong-wei, XIN Xiao-long, HE Peng-fei . (∈_γ ,∈_γVq_δ) -intuitionistic Fuzzy(Soft) Filter of BL-algebras[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(1) : 65 -75 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.01.009

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