Abstract
In this paper, some fundamental relationships of a \(\Gamma \)-semihypergroup and its operator semihypergroup in terms of fuzzy subsets, fuzzy hyperideals and fuzzy hyperideal extension are obtained. Using these in obtaining some characterization theorems of \(\Gamma \)-semihypergroups in terms of fuzzy subsets, we highlight the effectiveness of operator semihypergroups in the study of \(\Gamma \)-semihypergroups in terms of fuzzy subsets.
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