On (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space
In this paper, we study and introduce a new type of convergence, namely (λ,μ)- Zweier convergence and (λ,μ)- Zweier ideal convergence of double sequences x = (xij) in intuitionistic fuzzy normed space (IFNS), where λ = (λn) and μ= (μm) are two non-decreasing sequences of positive real numbers such t...
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| Format: | Article |
| Language: | English |
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University of Belgrade
2020-01-01
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| Series: | Yugoslav Journal of Operations Research |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-0243/2020/0354-02432000006K.pdf |
| _version_ | 1818676742126043136 |
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| author | Khan Vakeel A. Ahmad Mobeen |
| author_facet | Khan Vakeel A. Ahmad Mobeen |
| author_sort | Khan Vakeel A. |
| collection | DOAJ |
| description | In this paper, we study and introduce a new type of convergence, namely (λ,μ)- Zweier convergence and (λ,μ)- Zweier ideal convergence of double sequences x = (xij) in intuitionistic fuzzy normed space (IFNS), where λ = (λn) and μ= (μm) are two non-decreasing sequences of positive real numbers such that each tending to infinity. Furthermore, we studied (λ,μ)- Zweier Cauchy and (λ,μ)- Zweier ideal Cauchy sequences on the said space and established a relation between them. |
| first_indexed | 2024-12-17T08:48:18Z |
| format | Article |
| id | doaj.art-16039f72e76248b49d0a49949331ac65 |
| institution | Directory Open Access Journal |
| issn | 0354-0243 1820-743X |
| language | English |
| last_indexed | 2024-12-17T08:48:18Z |
| publishDate | 2020-01-01 |
| publisher | University of Belgrade |
| record_format | Article |
| series | Yugoslav Journal of Operations Research |
| spelling | doaj.art-16039f72e76248b49d0a49949331ac652022-12-21T21:56:09ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2020-01-0130441342710.2298/YJOR191115006K0354-02432000006KOn (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed spaceKhan Vakeel A.0Ahmad Mobeen1Department of Mathematics, Aligarh Muslim University, Aligarh, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh, IndiaIn this paper, we study and introduce a new type of convergence, namely (λ,μ)- Zweier convergence and (λ,μ)- Zweier ideal convergence of double sequences x = (xij) in intuitionistic fuzzy normed space (IFNS), where λ = (λn) and μ= (μm) are two non-decreasing sequences of positive real numbers such that each tending to infinity. Furthermore, we studied (λ,μ)- Zweier Cauchy and (λ,μ)- Zweier ideal Cauchy sequences on the said space and established a relation between them.http://www.doiserbia.nb.rs/img/doi/0354-0243/2020/0354-02432000006K.pdfideal convergencezweier operator(λ,μ)- convergenceintuitionistic fuzzy normed spaces |
| spellingShingle | Khan Vakeel A. Ahmad Mobeen On (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space Yugoslav Journal of Operations Research ideal convergence zweier operator (λ,μ)- convergence intuitionistic fuzzy normed spaces |
| title | On (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space |
| title_full | On (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space |
| title_fullStr | On (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space |
| title_full_unstemmed | On (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space |
| title_short | On (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space |
| title_sort | on λ μ zweier ideal convergence in intuitionistic fuzzy normed space |
| topic | ideal convergence zweier operator (λ,μ)- convergence intuitionistic fuzzy normed spaces |
| url | http://www.doiserbia.nb.rs/img/doi/0354-0243/2020/0354-02432000006K.pdf |
| work_keys_str_mv | AT khanvakeela onlmzweieridealconvergenceinintuitionisticfuzzynormedspace AT ahmadmobeen onlmzweieridealconvergenceinintuitionisticfuzzynormedspace |