Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers
The aim of present work is to introduce and study lacunary statistical limit and lacunary statistical cluster points for generalized difference sequences of fuzzy numbers. Some inclusion relations among the sets of ordinary limit points, statistical limit points, statistical cluster points, lacunary...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2012/459370 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552831188467712 |
|---|---|
| author | Pankaj Kumar Vijay Kumar S. S. Bhatia |
| author_facet | Pankaj Kumar Vijay Kumar S. S. Bhatia |
| author_sort | Pankaj Kumar |
| collection | DOAJ |
| description | The aim of present work is to introduce and study lacunary statistical limit and lacunary statistical cluster points for generalized difference sequences of fuzzy numbers. Some inclusion relations among the sets of ordinary limit points, statistical limit points, statistical cluster points, lacunary statistical limit points, and lacunary statistical cluster points for these type of sequences are obtained. |
| format | Article |
| id | doaj-art-2378688a2b624a8c839d520603434ca8 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-2378688a2b624a8c839d520603434ca82025-02-03T05:57:39ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2012-01-01201210.1155/2012/459370459370Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy NumbersPankaj Kumar0Vijay Kumar1S. S. Bhatia2Department of Mathematics, Haryana College of Technology and Management, Haryana, Kaithal 136027, IndiaDepartment of Mathematics, Haryana College of Technology and Management, Haryana, Kaithal 136027, IndiaSchool of Mathematics and Computer Application, Thapar University, Punjab, Patiala 147004, IndiaThe aim of present work is to introduce and study lacunary statistical limit and lacunary statistical cluster points for generalized difference sequences of fuzzy numbers. Some inclusion relations among the sets of ordinary limit points, statistical limit points, statistical cluster points, lacunary statistical limit points, and lacunary statistical cluster points for these type of sequences are obtained.http://dx.doi.org/10.1155/2012/459370 |
| spellingShingle | Pankaj Kumar Vijay Kumar S. S. Bhatia Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers Advances in Fuzzy Systems |
| title | Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers |
| title_full | Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers |
| title_fullStr | Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers |
| title_full_unstemmed | Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers |
| title_short | Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers |
| title_sort | lacunary statistical limit and cluster points of generalized difference sequences of fuzzy numbers |
| url | http://dx.doi.org/10.1155/2012/459370 |
| work_keys_str_mv | AT pankajkumar lacunarystatisticallimitandclusterpointsofgeneralizeddifferencesequencesoffuzzynumbers AT vijaykumar lacunarystatisticallimitandclusterpointsofgeneralizeddifferencesequencesoffuzzynumbers AT ssbhatia lacunarystatisticallimitandclusterpointsofgeneralizeddifferencesequencesoffuzzynumbers |