Direct sum of Intuitionistic fuzzy quasi injective s-act
In order to define the intuitionistic fuzzy s-act of the direct sum Ai ⨁ Aj, we first introduce the idea of the direct sum of intuitionistic fuzzy s-act (L = Li ⨁ Lj) of A and go over a few associated properties if Li and Lj are intuitionistic fuzzy s-acts of Ai and Aj s-acts, respectively. Next, w...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
College of science, university of Diyala
2025-04-01
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| Series: | Academic Science Journal |
| Subjects: | |
| Online Access: | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/308 |
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| Summary: | In order to define the intuitionistic fuzzy s-act of the direct sum Ai ⨁ Aj, we first introduce the idea of the direct sum of intuitionistic fuzzy s-act (L = Li ⨁ Lj) of A and go over a few associated properties if Li and Lj are intuitionistic fuzzy s-acts of Ai and Aj s-acts, respectively. Next, we expand the definition of intuitionistic fuzzy s-act Li and Lj. It is demonstrated that the direct sum of the supported of intuitionistic fuzzy s-act Li and Lj equals the support of the direct sum of those supports. Additionally, we have obtained some results by analyzing the direct sum of an arbitrary family of intuitionistic fuzzy s-act. Additionally, we present and demonstrate the concepts of intuitionistic fuzzy s-act decomposability and indecomposility
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| ISSN: | 2958-4612 2959-5568 |