Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals
This paper aims to introduce a novel idea of possibility multi-fuzzy soft ordered semigroups for ideals and interior ideals. Various results, formulated as theorems based on these concepts, are presented and further validated with suitable examples. This paper also explores the broad applicability o...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/2/210 |
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| author | Sana Habib Kashif Habib Violeta Leoreanu-Fotea Faiz Muhammad Khan |
| author_facet | Sana Habib Kashif Habib Violeta Leoreanu-Fotea Faiz Muhammad Khan |
| author_sort | Sana Habib |
| collection | DOAJ |
| description | This paper aims to introduce a novel idea of possibility multi-fuzzy soft ordered semigroups for ideals and interior ideals. Various results, formulated as theorems based on these concepts, are presented and further validated with suitable examples. This paper also explores the broad applicability of possibility multi-fuzzy soft ordered semigroups in solving modern decision-making problems. Furthermore, this paper explores various classes of ordered semigroups, such as simple, regular, and intra-regular, using this innovative method. Based on these concepts, some important conclusions are drawn with supporting examples. Moreover, it defines the possibility of multi-fuzzy soft ideals for semiprime ordered semigroups. |
| format | Article |
| id | doaj-art-8bd5586d6d0a4ee893d45a1e2a31ccf9 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-8bd5586d6d0a4ee893d45a1e2a31ccf92025-01-24T13:39:45ZengMDPI AGMathematics2227-73902025-01-0113221010.3390/math13020210Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior IdealsSana Habib0Kashif Habib1Violeta Leoreanu-Fotea2Faiz Muhammad Khan3School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, ChinaAutomotive Engineering Research Institute, Jiangsu University, Zhenjiang 212000, ChinaFaculty of Mathematics, Al. I. Cuza University of Iasi, Bd Carol I, No. 11, 700506 Iasi, RomaniaDepartment of Mathematics and Statistics, University of Swat, Swat 19120, PakistanThis paper aims to introduce a novel idea of possibility multi-fuzzy soft ordered semigroups for ideals and interior ideals. Various results, formulated as theorems based on these concepts, are presented and further validated with suitable examples. This paper also explores the broad applicability of possibility multi-fuzzy soft ordered semigroups in solving modern decision-making problems. Furthermore, this paper explores various classes of ordered semigroups, such as simple, regular, and intra-regular, using this innovative method. Based on these concepts, some important conclusions are drawn with supporting examples. Moreover, it defines the possibility of multi-fuzzy soft ideals for semiprime ordered semigroups.https://www.mdpi.com/2227-7390/13/2/210multi-fuzzy soft setspossibility multi-fuzzy soft ordered semigrouppossibility multi-fuzzy soft interior idealspossibility multi-fuzzy soft simplesemiprime possibility multi-fuzzy soft ideals |
| spellingShingle | Sana Habib Kashif Habib Violeta Leoreanu-Fotea Faiz Muhammad Khan Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals Mathematics multi-fuzzy soft sets possibility multi-fuzzy soft ordered semigroup possibility multi-fuzzy soft interior ideals possibility multi-fuzzy soft simple semiprime possibility multi-fuzzy soft ideals |
| title | Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals |
| title_full | Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals |
| title_fullStr | Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals |
| title_full_unstemmed | Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals |
| title_short | Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals |
| title_sort | exploring the structure of possibility multi fuzzy soft ordered semigroups through interior ideals |
| topic | multi-fuzzy soft sets possibility multi-fuzzy soft ordered semigroup possibility multi-fuzzy soft interior ideals possibility multi-fuzzy soft simple semiprime possibility multi-fuzzy soft ideals |
| url | https://www.mdpi.com/2227-7390/13/2/210 |
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