Hesitant fuzzy subgroups and subrings
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We define a hesitant fuzzy subgroupoid and obtain some of its properties. Next, we introduce the concepts of hesitant fuzzy subgroups, hesitant fuzzy ideals and hesitant fuzzy normal subgroups, and obtain some of its properties, respectively (In particular, see Theorems 4.5, 4.7 and 4.16, and Propositions 4.23 and 4.24). Finally, we define a hesitant fuzzy subring and investigate some of its properties. In particular, we give a characteristic of a (usual) field by a hesitant fuzzy ideal (See Proposition 5.9).
Abstract
We define a hesitant fuzzy subgroupoid and obtain some of its properties. Next, we introduce the concepts of hesitant fuzzy subgroups, hesitant fuzzy ideals and hesitant fuzzy normal subgroups, and obtain some of its properties, respectively (In particular, see Theorems 4.5, 4.7 and 4.16, and Propositions 4.23 and 4.24). Finally, we define a hesitant fuzzy subring and investigate some of its properties. In particular, we give a characteristic of a (usual) field by a hesitant fuzzy ideal (See Proposition 5.9).
참고문헌 (15)
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