Properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebra
In this paper, we deal with the invertible elements in a complete intuitionistic fuzzy pseudo normed algebra (in short, IFPNA) with respect to Archimedean t-norm and Archimedean t-conorm. It is done by studying the continuity of algebraic operations in a complete IFPNA and investigating the conditio...
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| Format: | Article |
| Language: | English |
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Tokat Gaziosmanpasa University
2021-12-01
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| Series: | Journal of New Results in Science |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/1913518 |
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| author | Bivas Dinda Santanu Kumar Ghosh Tapas Samanta |
| author_facet | Bivas Dinda Santanu Kumar Ghosh Tapas Samanta |
| author_sort | Bivas Dinda |
| collection | DOAJ |
| description | In this paper, we deal with the invertible elements in a complete intuitionistic fuzzy pseudo normed algebra (in short, IFPNA) with respect to Archimedean t-norm and Archimedean t-conorm. It is done by studying the continuity of algebraic operations in a complete IFPNA and investigating the condition for existence of inverse of an element in a complete IFPNA. Also some properties of invertible elements are studied. It is observed that the set of invertible elements in a complete IFPNA is an open set. |
| format | Article |
| id | doaj-art-d39b003224684b34a34d10a9c0b1a9c2 |
| institution | Kabale University |
| issn | 1304-7981 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | Tokat Gaziosmanpasa University |
| record_format | Article |
| series | Journal of New Results in Science |
| spelling | doaj-art-d39b003224684b34a34d10a9c0b1a9c22025-08-20T03:44:20ZengTokat Gaziosmanpasa UniversityJournal of New Results in Science1304-79812021-12-01103344510.54187/jnrs.979984142Properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebraBivas Dinda0https://orcid.org/0000-0002-9761-4820Santanu Kumar Ghosh1https://orcid.org/0000-0001-8707-6814Tapas Samanta2https://orcid.org/0000-0001-8728-0356Kazi Nazrul UniversityKazi Nazrul UniversityUluberia CollegeIn this paper, we deal with the invertible elements in a complete intuitionistic fuzzy pseudo normed algebra (in short, IFPNA) with respect to Archimedean t-norm and Archimedean t-conorm. It is done by studying the continuity of algebraic operations in a complete IFPNA and investigating the condition for existence of inverse of an element in a complete IFPNA. Also some properties of invertible elements are studied. It is observed that the set of invertible elements in a complete IFPNA is an open set.https://dergipark.org.tr/en/download/article-file/1913518ifpnainvertible elementintuitionistic fuzzy continuity |
| spellingShingle | Bivas Dinda Santanu Kumar Ghosh Tapas Samanta Properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebra Journal of New Results in Science ifpna invertible element intuitionistic fuzzy continuity |
| title | Properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebra |
| title_full | Properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebra |
| title_fullStr | Properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebra |
| title_full_unstemmed | Properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebra |
| title_short | Properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebra |
| title_sort | properties of invertible elements in complete intuitionistic fuzzy pseudo normed algebra |
| topic | ifpna invertible element intuitionistic fuzzy continuity |
| url | https://dergipark.org.tr/en/download/article-file/1913518 |
| work_keys_str_mv | AT bivasdinda propertiesofinvertibleelementsincompleteintuitionisticfuzzypseudonormedalgebra AT santanukumarghosh propertiesofinvertibleelementsincompleteintuitionisticfuzzypseudonormedalgebra AT tapassamanta propertiesofinvertibleelementsincompleteintuitionisticfuzzypseudonormedalgebra |