格的粗糙直觉模糊理想(滤子)

贺鹏飞, 杨永伟, 辛小龙

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

数学季刊 >

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

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

格的粗糙直觉模糊理想(滤子)

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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.

收稿日期: 2013-03-06

网络出版日期: 2020-11-30

基金资助

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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On Rough Intuitionistic Fuzzy Ideals(Filters) in Lattices

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Department of Mathematics, Northwest University

Received date: 2013-03-06

Online published: 2020-11-30

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摘要

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).

关键词： lattice; rough intuitionistic fuzzy ideal(filter); homomorphism

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贺鹏飞, 杨永伟, 辛小龙 . 格的粗糙直觉模糊理想(滤子)[J]. 数学季刊, 2014 , 29(3) : 381 -391 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.03.008

Abstract

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

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