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Intuitionistic fuzzy multi-hypergroups
2022The authors define intuitionistic fuzzy multi-hypergroups which generalize the concept of intuitionistic fuzzy hypergroups. Some operations of these fuzzy multi-hypergroups are studied. They give some fundamental results and examples related to these conceptnotion. Besides, they study the homomorphisms and normal properties of fuzzy multi-hypergroups.
Davvaz, Bijan +3 more
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2009
Let $K$ denote a locally compact commutative hypergroup, $L^1(K)$ the hypergroup algebra, and $ $ a real-valued hermitian character of $K$. We show that $K$ is $ $-amenable if and only if $L^1(K)$ is $ $-left amenable. We also consider the $ $-amenability of hypergroup joins and polynomial hypergroups in several variables as well as a single ...
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Let $K$ denote a locally compact commutative hypergroup, $L^1(K)$ the hypergroup algebra, and $ $ a real-valued hermitian character of $K$. We show that $K$ is $ $-amenable if and only if $L^1(K)$ is $ $-left amenable. We also consider the $ $-amenability of hypergroup joins and polynomial hypergroups in several variables as well as a single ...
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Cyclic hypergroups and torsion in hypergroups
1980One characterizes the structure of cyclic hypergroups, in particular of the complete ones. One extends to the hypergroups, some notions of group theory, as torsion, generators etc. and finds results which concern them.
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1982
It is known that we can obtain from a semigroup S a class H of complete semihypergroups such that, for every semihypergroup H∈H , H/β* =S . In this paper the author generalizes the previous construction, obtaining some interesting results on a semihypergroup K_H constructed from an arbitrary semihypergroup H . Several results on K_H are obtained.
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It is known that we can obtain from a semigroup S a class H of complete semihypergroups such that, for every semihypergroup H∈H , H/β* =S . In this paper the author generalizes the previous construction, obtaining some interesting results on a semihypergroup K_H constructed from an arbitrary semihypergroup H . Several results on K_H are obtained.
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