Some Results on (Generalized) Fuzzy Multi-<i>H</i><sub>v</sub>-Ideals of <i>H</i><sub>v</sub>-Rings
The concept of fuzzy multiset is well established in dealing with many real life problems. It is possible to find various applications of algebraic hypercompositional structures in natural, technical and social sciences, where symmetry, or the lack of symmetry, is clearly specified and laid out. In...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-11-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/11/1376 |
| _version_ | 1811263142497353728 |
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| author | Madeline Al Tahan Sarka Hoskova-Mayerova Bijan Davvaz |
| author_facet | Madeline Al Tahan Sarka Hoskova-Mayerova Bijan Davvaz |
| author_sort | Madeline Al Tahan |
| collection | DOAJ |
| description | The concept of fuzzy multiset is well established in dealing with many real life problems. It is possible to find various applications of algebraic hypercompositional structures in natural, technical and social sciences, where symmetry, or the lack of symmetry, is clearly specified and laid out. In this paper, we use fuzzy multisets to introduce the concept of fuzzy multi-<inline-formula> <math display="inline"> <semantics> <msub> <mi>H</mi> <mi>v</mi> </msub> </semantics> </math> </inline-formula>-ideals as a generalization of fuzzy <inline-formula> <math display="inline"> <semantics> <msub> <mi>H</mi> <mi>v</mi> </msub> </semantics> </math> </inline-formula>-ideals. Moreover, we introduce the concept of generalized fuzzy multi-<inline-formula> <math display="inline"> <semantics> <msub> <mi>H</mi> <mi>v</mi> </msub> </semantics> </math> </inline-formula>-ideals as a generalization of generalized fuzzy <inline-formula> <math display="inline"> <semantics> <msub> <mi>H</mi> <mi>v</mi> </msub> </semantics> </math> </inline-formula>-ideals. Finally, we investigate the properties of these new concepts and present different examples. |
| first_indexed | 2024-04-12T19:39:33Z |
| format | Article |
| id | doaj.art-326b01de2e844e388036b502ca860f9d |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-12T19:39:33Z |
| publishDate | 2019-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-326b01de2e844e388036b502ca860f9d2022-12-22T03:19:07ZengMDPI AGSymmetry2073-89942019-11-011111137610.3390/sym11111376sym11111376Some Results on (Generalized) Fuzzy Multi-<i>H</i><sub>v</sub>-Ideals of <i>H</i><sub>v</sub>-RingsMadeline Al Tahan0Sarka Hoskova-Mayerova1Bijan Davvaz2Department of Mathematics, Lebanese International University, Beirut 1803, LebanonDepartment of Mathematics and Physics, University of Defence in Brno, Kounicova 65, 66210 Brno, Czech RepublicDepartment of Mathematics, Yazd University, Yazd 89136, IranThe concept of fuzzy multiset is well established in dealing with many real life problems. It is possible to find various applications of algebraic hypercompositional structures in natural, technical and social sciences, where symmetry, or the lack of symmetry, is clearly specified and laid out. In this paper, we use fuzzy multisets to introduce the concept of fuzzy multi-<inline-formula> <math display="inline"> <semantics> <msub> <mi>H</mi> <mi>v</mi> </msub> </semantics> </math> </inline-formula>-ideals as a generalization of fuzzy <inline-formula> <math display="inline"> <semantics> <msub> <mi>H</mi> <mi>v</mi> </msub> </semantics> </math> </inline-formula>-ideals. Moreover, we introduce the concept of generalized fuzzy multi-<inline-formula> <math display="inline"> <semantics> <msub> <mi>H</mi> <mi>v</mi> </msub> </semantics> </math> </inline-formula>-ideals as a generalization of generalized fuzzy <inline-formula> <math display="inline"> <semantics> <msub> <mi>H</mi> <mi>v</mi> </msub> </semantics> </math> </inline-formula>-ideals. Finally, we investigate the properties of these new concepts and present different examples.https://www.mdpi.com/2073-8994/11/11/1376hv-structureshv-ringfundamental equivalence relationhv-idealmultisetfuzzy multisetfuzzy multi-hv-ideal. |
| spellingShingle | Madeline Al Tahan Sarka Hoskova-Mayerova Bijan Davvaz Some Results on (Generalized) Fuzzy Multi-<i>H</i><sub>v</sub>-Ideals of <i>H</i><sub>v</sub>-Rings Symmetry hv-structures hv-ring fundamental equivalence relation hv-ideal multiset fuzzy multiset fuzzy multi-hv-ideal. |
| title | Some Results on (Generalized) Fuzzy Multi-<i>H</i><sub>v</sub>-Ideals of <i>H</i><sub>v</sub>-Rings |
| title_full | Some Results on (Generalized) Fuzzy Multi-<i>H</i><sub>v</sub>-Ideals of <i>H</i><sub>v</sub>-Rings |
| title_fullStr | Some Results on (Generalized) Fuzzy Multi-<i>H</i><sub>v</sub>-Ideals of <i>H</i><sub>v</sub>-Rings |
| title_full_unstemmed | Some Results on (Generalized) Fuzzy Multi-<i>H</i><sub>v</sub>-Ideals of <i>H</i><sub>v</sub>-Rings |
| title_short | Some Results on (Generalized) Fuzzy Multi-<i>H</i><sub>v</sub>-Ideals of <i>H</i><sub>v</sub>-Rings |
| title_sort | some results on generalized fuzzy multi i h i sub v sub ideals of i h i sub v sub rings |
| topic | hv-structures hv-ring fundamental equivalence relation hv-ideal multiset fuzzy multiset fuzzy multi-hv-ideal. |
| url | https://www.mdpi.com/2073-8994/11/11/1376 |
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