Rough semigroups and rough fuzzy semigroups based on fuzzy ideals

In this paper, we firstly introduce a special congruence relation U(μ, t) induced by a fuzzy ideal μ in a semigroup S. Then we define the lower and upper approximations based on a fuzzy ideal in semigroups. We can establish rough semigroups, rough ideals, rough prime ideals, rough fuzzy semigroups,...

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Bibliographic Details
Main Authors: Wang Qiumei, Zhan Jianming
Format: Article
Language:English
Published: De Gruyter 2016-01-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2016.14.issue-1/math-2016-0102/math-2016-0102.xml?format=INT