Fuzzy ideals extensions of ordered semigroups.
Xie, Xiang-Yun, Yan, Feng (2005)
Lobachevskii Journal of Mathematics
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Xie, Xiang-Yun, Yan, Feng (2005)
Lobachevskii Journal of Mathematics
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Shabir, M. (2005)
International Journal of Mathematics and Mathematical Sciences
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Kim, Kyung Ho, Jun, Young Bae (2001)
International Journal of Mathematics and Mathematical Sciences
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Qiumei Wang, Jianming Zhan (2016)
Open Mathematics
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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, rough fuzzy ideals and rough fuzzy prime ideals according to the definitions of rough sets and rough fuzzy sets. Furthermore, we shall consider the relationships among semigroups and rough...
Xiaokun Huang, Qingguo Li (2016)
Open Mathematics
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The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation. Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals are derived. The lattice structures of all ∈, ∈ ∨qk-fuzzy (interior) ideals on such fuzzy ordered semigroup are studied and some methods are given to construct an ∈, ∈ ∨qk-fuzzy (interior) ideals from an arbitrary fuzzy subset. Finally,...
Yin Hong, X. Fang (2005)
Mathware and Soft Computing
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In this paper, we give some theorems which characterize the intraregular semigroups in terms of intuitionistic fuzzy left, right, and biideals.
Akram, Muhammad (2007)
International Journal of Mathematics and Mathematical Sciences
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Zhan, Jianming (2005)
International Journal of Mathematics and Mathematical Sciences
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Agargün, G., Ersoy, B.A. (2006)
APPS. Applied Sciences
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Roh, Eun Hwan, Jun, Young Bae, Shim, Wook Hwan (2000)
International Journal of Mathematics and Mathematical Sciences
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Dheena, P., Coumaressane, S. (2006)
International Journal of Mathematics and Mathematical Sciences
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Akram, M., Zhan, Jianming (2006)
International Journal of Mathematics and Mathematical Sciences
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Kehayopulu, Niovi (2007)
Lobachevskii Journal of Mathematics
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Jun, Young Bae, Hong, Sung Min (2001)
International Journal of Mathematics and Mathematical Sciences
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