Some types of subsemigroups characterized in terms of inequalities of generalized bipolar fuzzy subsemigroups (Q1649064)
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scientific article; zbMATH DE number 6898700
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some types of subsemigroups characterized in terms of inequalities of generalized bipolar fuzzy subsemigroups |
scientific article; zbMATH DE number 6898700 |
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Some types of subsemigroups characterized in terms of inequalities of generalized bipolar fuzzy subsemigroups (English)
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5 July 2018
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Summary: In this paper, we introduce a generalization of a bipolar fuzzy (BF) subsemigroup, namely, a \((\alpha_1, \alpha_2; \beta_1, \beta_2)\)-BF subsemigroup. The notions of \((\alpha_1, \alpha_2; \beta_1, \beta_2)\)-BF quasi(generalized bi-, bi-) ideals are discussed. Some inequalities of \((\alpha_1, \alpha_2; \beta_1, \beta_2)\)-BF quasi (generalized bi-, bi-) ideals are obtained. Furthermore, any regular semigroup is characterized in terms of generalized BF semigroups.
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generalized bipolar fuzzy (BF) semigroup
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\((\alpha_1,\alpha_2
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\beta_1, \beta_2)\)-bipolar fuzzy subsemigroup
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fuzzy quasi-ideal
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fuzzy generalized bi-ideal
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fuzzy bi-ideal
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regular semigroup
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