Fermatean fuzzy semi-prime ideals of ordered semigroups
Fermatean fuzzy sets (FFSs) are invented to resolve the underlying limitations of intuitionistic fuzzy sets and Pythagorean fuzzy sets. The major goal of this study is to introduce Fermatean fuzzy semi-prime ideals of ordered semigroups. Fermatean fuzzy semi-prime ideals and Fermatean fuzzy prime id...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-10-01
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| Series: | Topological Algebra and its Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/taa-2023-0102 |
| _version_ | 1797660977765810176 |
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| author | Adak Amal Kumar Nilkamal Barman Navendu |
| author_facet | Adak Amal Kumar Nilkamal Barman Navendu |
| author_sort | Adak Amal Kumar |
| collection | DOAJ |
| description | Fermatean fuzzy sets (FFSs) are invented to resolve the underlying limitations of intuitionistic fuzzy sets and Pythagorean fuzzy sets. The major goal of this study is to introduce Fermatean fuzzy semi-prime ideals of ordered semigroups. Fermatean fuzzy semi-prime ideals and Fermatean fuzzy prime ideals are introduced. Also, we illustrate some novel concepts to construct Fermatean fuzzy intra-regular and regular ideals. Using the conception of function of the characteristic of ordered semigroups of FFSs, we show certain fundamental facts. Several relations are given for the family of Fermatean fuzzy regular ideals of ordered semigroups. |
| first_indexed | 2024-03-11T18:37:48Z |
| format | Article |
| id | doaj.art-5e1d93b71ac04764950845faaa8e2b78 |
| institution | Directory Open Access Journal |
| issn | 2299-3231 |
| language | English |
| last_indexed | 2024-03-11T18:37:48Z |
| publishDate | 2023-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Topological Algebra and its Applications |
| spelling | doaj.art-5e1d93b71ac04764950845faaa8e2b782023-10-12T14:07:45ZengDe GruyterTopological Algebra and its Applications2299-32312023-10-011111910.1515/taa-2023-0102Fermatean fuzzy semi-prime ideals of ordered semigroupsAdak Amal Kumar0Nilkamal1Barman Navendu2Department of Mathematics, Ganesh Dutt College, Begusarai, 851101, IndiaDepartment of Mathematics, Lalit Narayan Mithila University, Darbhanga 846004, IndiaDepartment of Mathematics, West Bengal State University, Barasat, Kolkata, 700126, IndiaFermatean fuzzy sets (FFSs) are invented to resolve the underlying limitations of intuitionistic fuzzy sets and Pythagorean fuzzy sets. The major goal of this study is to introduce Fermatean fuzzy semi-prime ideals of ordered semigroups. Fermatean fuzzy semi-prime ideals and Fermatean fuzzy prime ideals are introduced. Also, we illustrate some novel concepts to construct Fermatean fuzzy intra-regular and regular ideals. Using the conception of function of the characteristic of ordered semigroups of FFSs, we show certain fundamental facts. Several relations are given for the family of Fermatean fuzzy regular ideals of ordered semigroups.https://doi.org/10.1515/taa-2023-0102pythagorean fuzzy setsintuitionistic fuzzy setsfermatean fuzzy setfermatean fuzzy idealsfermatean fuzzy regular idealsfermatean fuzzy semi-prime ideals08a7216y3003e7220n25 |
| spellingShingle | Adak Amal Kumar Nilkamal Barman Navendu Fermatean fuzzy semi-prime ideals of ordered semigroups Topological Algebra and its Applications pythagorean fuzzy sets intuitionistic fuzzy sets fermatean fuzzy set fermatean fuzzy ideals fermatean fuzzy regular ideals fermatean fuzzy semi-prime ideals 08a72 16y30 03e72 20n25 |
| title | Fermatean fuzzy semi-prime ideals of ordered semigroups |
| title_full | Fermatean fuzzy semi-prime ideals of ordered semigroups |
| title_fullStr | Fermatean fuzzy semi-prime ideals of ordered semigroups |
| title_full_unstemmed | Fermatean fuzzy semi-prime ideals of ordered semigroups |
| title_short | Fermatean fuzzy semi-prime ideals of ordered semigroups |
| title_sort | fermatean fuzzy semi prime ideals of ordered semigroups |
| topic | pythagorean fuzzy sets intuitionistic fuzzy sets fermatean fuzzy set fermatean fuzzy ideals fermatean fuzzy regular ideals fermatean fuzzy semi-prime ideals 08a72 16y30 03e72 20n25 |
| url | https://doi.org/10.1515/taa-2023-0102 |
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