Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (3): 381-391.doi: 10.13371/j.cnki.chin.q.j.m.2014.03.008

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On Rough Intuitionistic Fuzzy Ideals(Filters) in Lattices

  

  1. Department of Mathematics, Northwest University
  • Received:2013-03-06 Online:2014-09-30 Published:2020-11-30
  • About author:HE Peng-fei(1986-), male, native of Xi'an, Shaanxi, a Ph.D. candidate of Northwest University, engages in fuzzy algebras, rough set theory; 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.
  • Supported by:
    Supported by the Graduate Independent Innovation Foundation of Northwest University(YZZ12061); Supported by the Scientific Research Program Funded by Shaanxi Provincial Education Department(2013JK0562);

Abstract: In this paper, we introduce a new algebraic structure, called a rough intuitionistic fuzzy ideal(filter) which is a generalized intuitionistic fuzzy ideal(filter) of a lattice and study some related properties of such ideals(filters). 

Key words: lattice, rough intuitionistic fuzzy ideal(filter), homomorphism

CLC Number: