Almost Entropy Convergence for Fuzzy Sequence Spaces
In this paper, weintroduce a new type convergence called almost entropy convergence forsequences of fuzzy numbers. In addition this, we show that almost entropyconvergence can be defined as the intersection of convergence field of Cesàro matrix. Besides,we generalize this idea to any matrix T. By th...
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Sakarya University
2018-06-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/347000 |
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| author | Zarife Zararsız |
| author_facet | Zarife Zararsız |
| author_sort | Zarife Zararsız |
| collection | DOAJ |
| description | In this paper, weintroduce a new type convergence called almost entropy convergence forsequences of fuzzy numbers. In addition this, we show that almost entropyconvergence can be defined as the intersection of convergence field of Cesàro matrix. Besides,we generalize this idea to any matrix T. By this way,we present the definition of T- entropyconvergence. After, the set of all almost entropy convergent and null almostentropy convergent sequences of fuzzy sets are defined. In addition this, we give some theorems, forexample, we show that the sets E_f and E_f_0are complete metric spaces and give theinclusion relations between the spaces E_c, E_fand E_c, and proofs on this notion. |
| format | Article |
| id | doaj-art-7eee623799b64d1d835d2a6d493c0a62 |
| institution | DOAJ |
| issn | 2147-835X |
| language | English |
| publishDate | 2018-06-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-7eee623799b64d1d835d2a6d493c0a622025-08-20T02:40:20ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2018-06-0122385386110.16984/saufenbilder.27009928Almost Entropy Convergence for Fuzzy Sequence SpacesZarife Zararsız0NEVŞEHİR HACI BEKTAŞ VELİ ÜNİVERSİTESİIn this paper, weintroduce a new type convergence called almost entropy convergence forsequences of fuzzy numbers. In addition this, we show that almost entropyconvergence can be defined as the intersection of convergence field of Cesàro matrix. Besides,we generalize this idea to any matrix T. By this way,we present the definition of T- entropyconvergence. After, the set of all almost entropy convergent and null almostentropy convergent sequences of fuzzy sets are defined. In addition this, we give some theorems, forexample, we show that the sets E_f and E_f_0are complete metric spaces and give theinclusion relations between the spaces E_c, E_fand E_c, and proofs on this notion.https://dergipark.org.tr/tr/download/article-file/347000fuzzy numbersequence spaceentropyalmost entropy convergencebulanık sayıdizi uzayıentropi |
| spellingShingle | Zarife Zararsız Almost Entropy Convergence for Fuzzy Sequence Spaces Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi fuzzy number sequence space entropy almost entropy convergence bulanık sayı dizi uzayı entropi |
| title | Almost Entropy Convergence for Fuzzy Sequence Spaces |
| title_full | Almost Entropy Convergence for Fuzzy Sequence Spaces |
| title_fullStr | Almost Entropy Convergence for Fuzzy Sequence Spaces |
| title_full_unstemmed | Almost Entropy Convergence for Fuzzy Sequence Spaces |
| title_short | Almost Entropy Convergence for Fuzzy Sequence Spaces |
| title_sort | almost entropy convergence for fuzzy sequence spaces |
| topic | fuzzy number sequence space entropy almost entropy convergence bulanık sayı dizi uzayı entropi |
| url | https://dergipark.org.tr/tr/download/article-file/347000 |
| work_keys_str_mv | AT zarifezararsız almostentropyconvergenceforfuzzysequencespaces |