A Comprehensive Study of Neutrosophic SuperHyper BCI-Semigroups and their Algebraic Significance
<p>This paper introduces and explores the concept of neutrosophic superhyper BCI-semigroups, an advanced algebraic structure integrating neutrosophic logic, superhyper operations, and BCI-algebras into a semigroup framework. Neutrosophic superhyper BCI-semigroups facilitate the handling of ind...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Islamic Azad University, Bandar Abbas Branch
2025-06-01
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| Series: | Transactions on Fuzzy Sets and Systems |
| Subjects: | |
| Online Access: | https://sanad.iau.ir/journal/tfss/Article/1198050 |
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| author | Ajoy Kanti Das Rajat DAS Suman Das Bijoy Krishna Debnath Carlos Granados Bimal Shil Rakhal Das |
| author_facet | Ajoy Kanti Das Rajat DAS Suman Das Bijoy Krishna Debnath Carlos Granados Bimal Shil Rakhal Das |
| author_sort | Ajoy Kanti Das |
| collection | DOAJ |
| description | <p>This paper introduces and explores the concept of neutrosophic superhyper BCI-semigroups, an advanced algebraic structure integrating neutrosophic logic, superhyper operations, and BCI-algebras into a semigroup framework. Neutrosophic superhyper BCI-semigroups facilitate the handling of indeterminate and conflicting information by incorporating neutrosophic triplets for each element, denoting degrees of truth, indeterminacy, and falsity. The study defines essential properties such as closure, associativity, BCI identity, and neutrosophic membership and provides illustrative examples to demonstrate these properties in practical scenarios. Further, the paper delves into the characteristics of idempotent and commutative elements, homomorphisms, ideals, subsemigroups, and quotient sets within the context of neutrosophic superhyper BCI-semigroups. Key theorems are presented to establish foundational principles and behaviors of these structures, highlighting their theoretical implications and potential for practical applications.</p> |
| format | Article |
| id | doaj-art-0bab0f69df7c4487937331ee964011f7 |
| institution | OA Journals |
| issn | 2821-0131 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Islamic Azad University, Bandar Abbas Branch |
| record_format | Article |
| series | Transactions on Fuzzy Sets and Systems |
| spelling | doaj-art-0bab0f69df7c4487937331ee964011f72025-08-20T02:10:20ZengIslamic Azad University, Bandar Abbas BranchTransactions on Fuzzy Sets and Systems2821-01312025-06-014280101A Comprehensive Study of Neutrosophic SuperHyper BCI-Semigroups and their Algebraic SignificanceAjoy Kanti DasRajat DASSuman DasBijoy Krishna DebnathCarlos GranadosBimal ShilRakhal Das<p>This paper introduces and explores the concept of neutrosophic superhyper BCI-semigroups, an advanced algebraic structure integrating neutrosophic logic, superhyper operations, and BCI-algebras into a semigroup framework. Neutrosophic superhyper BCI-semigroups facilitate the handling of indeterminate and conflicting information by incorporating neutrosophic triplets for each element, denoting degrees of truth, indeterminacy, and falsity. The study defines essential properties such as closure, associativity, BCI identity, and neutrosophic membership and provides illustrative examples to demonstrate these properties in practical scenarios. Further, the paper delves into the characteristics of idempotent and commutative elements, homomorphisms, ideals, subsemigroups, and quotient sets within the context of neutrosophic superhyper BCI-semigroups. Key theorems are presented to establish foundational principles and behaviors of these structures, highlighting their theoretical implications and potential for practical applications.</p>https://sanad.iau.ir/journal/tfss/Article/1198050neutrosophic superhyperstructure superhyperalgebra superhyper operations bci-algebras semigroups ideal. |
| spellingShingle | Ajoy Kanti Das Rajat DAS Suman Das Bijoy Krishna Debnath Carlos Granados Bimal Shil Rakhal Das A Comprehensive Study of Neutrosophic SuperHyper BCI-Semigroups and their Algebraic Significance Transactions on Fuzzy Sets and Systems neutrosophic superhyperstructure superhyperalgebra superhyper operations bci-algebras semigroups ideal. |
| title | A Comprehensive Study of Neutrosophic SuperHyper BCI-Semigroups and their Algebraic Significance |
| title_full | A Comprehensive Study of Neutrosophic SuperHyper BCI-Semigroups and their Algebraic Significance |
| title_fullStr | A Comprehensive Study of Neutrosophic SuperHyper BCI-Semigroups and their Algebraic Significance |
| title_full_unstemmed | A Comprehensive Study of Neutrosophic SuperHyper BCI-Semigroups and their Algebraic Significance |
| title_short | A Comprehensive Study of Neutrosophic SuperHyper BCI-Semigroups and their Algebraic Significance |
| title_sort | comprehensive study of neutrosophic superhyper bci semigroups and their algebraic significance |
| topic | neutrosophic superhyperstructure superhyperalgebra superhyper operations bci-algebras semigroups ideal. |
| url | https://sanad.iau.ir/journal/tfss/Article/1198050 |
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