Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (1): 65-75.doi: 10.13371/j.cnki.chin.q.j.m.2014.01.009

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

  

  1. Department of Mathematics, Northwest University
  • Received:2012-09-11 Online:2014-03-30 Published:2022-12-13
  • About author: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.
  • Supported by:
    Supported by the Graduate Independent Innovation Foundation of Northwest University (YZZ12061)

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.

Key words:  BL-algebras, intuitionistic fuzzy sets, (∈γ,∈γVqδ)-intuitionistic fuzzy filters, soft sets 

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