On Rough Intuitionistic Fuzzy Ideals(Filters) in Lattices

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

doi:10.13371/j.cnki.chin.q.j.m.2014.03.008

Chinese Quarterly Journal of Mathematics >

2014 , Vol. 29 >Issue 3: 381 - 391

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.03.008

On Rough Intuitionistic Fuzzy Ideals(Filters) in Lattices

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Department of Mathematics, Northwest University

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.

Received date: 2013-03-06

Online published: 2020-11-30

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)；

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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

Cite this article

HE Peng-fei, YANG Yong-wei, XIN Xiao-long . On Rough Intuitionistic Fuzzy Ideals(Filters) in Lattices[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(3) : 381 -391 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.03.008

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