Generalized fuzzy interior ideals in Abel-Grassmann's groupoids.
Khan, Asghar, Jun, Young Bae, Mahmood, Tahir (2010)
International Journal of Mathematics and Mathematical Sciences
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Khan, Asghar, Jun, Young Bae, Mahmood, Tahir (2010)
International Journal of Mathematics and Mathematical Sciences
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Kehayopulu, Niovi, Tsingelis, Michael (2005)
International Journal of Mathematics and Mathematical Sciences
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Madad Khan, Venus Amjid, Gul Zaman, Naveed Yaqoob (2014)
Discussiones Mathematicae - General Algebra and Applications
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In this paper, we introduced the concept of ordered Γ-AG-groupoids, Γ-ideals and some classes in ordered Γ-AG-groupoids. We have shown that every Γ-ideal in an ordered Γ-AG**-groupoid S is Γ-prime if and only if it is Γ-idempotent and the set of Γ-ideals of S is Γ-totally ordered under inclusion. We have proved that the set of Γ-ideals of S form a semilattice, also we have investigated some classes of ordered Γ-AG**-groupoid and it has shown that weakly regular, intra-regular, right...
Mark V. Lawson (2005)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Khan, Asghar, Jun, Young Bae, Shabir, Muhammad (2009)
International Journal of Mathematics and Mathematical Sciences
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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,...
Witold Kosiński (2006)
International Journal of Applied Mathematics and Computer Science
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Some generalizations of the concept of ordered fuzzy numbers (OFN) are defined to handle fuzzy inputs in a quantitative way, exactly as real numbers are handled. Additional two structures, an algebraic one and a normed (topological) one, are introduced to allow for counting with a more general type of membership relations.
Celakoska-Jordanova, Vesna (2010)
Mathematica Balkanica New Series
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AMS Subj. Classification: 03C05, 08B20 Free algebras are very important in studying classes of algebras, especially varieties of algebras. Any algebra that belongs to a given variety of algebras can be characterized as a homomorphic image of a free algebra of that variety. Describing free algebras is an important task that can be quite complicated, since there is no general method to resolve this problem. The aim of this work is to investigate classes of groupoids, i.e. algebras...
Ivan, Gh. (1999)
Balkan Journal of Geometry and its Applications (BJGA)
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Milan Trch (2009)
Acta Universitatis Carolinae. Mathematica et Physica
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