Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra
Triangular norm is a sort of binary operation often used in the fields such as fuzzy logic, probabilistic metric spaces and so on. In this paper, the concept of interval valued 𝑇̅-normed fuzzy 𝛽-subalgebra is proposed and its associated outcomes investigated. Furthermore, the intersection between...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Prince of Songkla University
2022-04-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | https://rdo.psu.ac.th/sjst/journal/44-2/8.pdf |
| _version_ | 1798037487734489088 |
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| author | P. Hemavathi P. Muralikrishna K. Palanivel Ronnason Chinram |
| author_facet | P. Hemavathi P. Muralikrishna K. Palanivel Ronnason Chinram |
| author_sort | P. Hemavathi |
| collection | DOAJ |
| description | Triangular norm is a sort of binary operation often used in the fields such as fuzzy logic, probabilistic metric spaces and
so on. In this paper, the concept of interval valued 𝑇̅-normed fuzzy 𝛽-subalgebra is proposed and its associated outcomes
investigated. Furthermore, the intersection between two 𝑇̅-interval valued fuzzy 𝛽-subalgebra is presented. Moreover, the
characteristics of homomorphism and endomorphism on 𝑇̅- interval valued fuzzy 𝛽-subalgebras have been studied. |
| first_indexed | 2024-04-11T21:27:13Z |
| format | Article |
| id | doaj.art-e9b4318b4d2b44a99529e2c941718af9 |
| institution | Directory Open Access Journal |
| issn | 0125-3395 |
| language | English |
| last_indexed | 2024-04-11T21:27:13Z |
| publishDate | 2022-04-01 |
| publisher | Prince of Songkla University |
| record_format | Article |
| series | Songklanakarin Journal of Science and Technology (SJST) |
| spelling | doaj.art-e9b4318b4d2b44a99529e2c941718af92022-12-22T04:02:22ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952022-04-0144233934710.14456/sjst-psu.2022.48Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebraP. Hemavathi0P. Muralikrishna1K. Palanivel2Ronnason Chinram3Division of Mathematics, Saveetha School of Engineering, SIMATS, Thandalam, Tamil Nadu, 602105 IndiaPG and Research Department of Mathematics, Muthurangam Government Arts College (Autonomus), Vellore, Tamil Nadu, 632002 IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore, Tamil Nadu, 632014 IndiaDivision of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla, 90110 ThailandTriangular norm is a sort of binary operation often used in the fields such as fuzzy logic, probabilistic metric spaces and so on. In this paper, the concept of interval valued 𝑇̅-normed fuzzy 𝛽-subalgebra is proposed and its associated outcomes investigated. Furthermore, the intersection between two 𝑇̅-interval valued fuzzy 𝛽-subalgebra is presented. Moreover, the characteristics of homomorphism and endomorphism on 𝑇̅- interval valued fuzzy 𝛽-subalgebras have been studied.https://rdo.psu.ac.th/sjst/journal/44-2/8.pdf𝑇̅-normednormed fuzzy𝛽-algebra𝛽-subalgebrainterval valued fuzzy 𝛽-algebrat-fuzzy |
| spellingShingle | P. Hemavathi P. Muralikrishna K. Palanivel Ronnason Chinram Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra Songklanakarin Journal of Science and Technology (SJST) 𝑇̅-normed normed fuzzy 𝛽-algebra 𝛽-subalgebra interval valued fuzzy 𝛽-algebra t-fuzzy |
| title | Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra |
| title_full | Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra |
| title_fullStr | Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra |
| title_full_unstemmed | Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra |
| title_short | Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra |
| title_sort | conceptual interpretation of interval valued 𝑇̅ normed fuzzy 𝛽 subalgebra |
| topic | 𝑇̅-normed normed fuzzy 𝛽-algebra 𝛽-subalgebra interval valued fuzzy 𝛽-algebra t-fuzzy |
| url | https://rdo.psu.ac.th/sjst/journal/44-2/8.pdf |
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