ON LACUNARY STATISTICAL LIMIT AND CLUSTER POINTS OF SEQUENCES OF FUZZY NUMBERS

被引：0

作者：

Kumar, P. ^{[1
]}

Bhatia, S. S. ^{[2
]}

Kumar, V. ^{[1
]}

机构：

[1] Haryana Coll Technol & Management, Dept Math, Kaithal 136027, Haryana, India

[2] Thapar Univ, Sch Math & Comp Applicat, Patiala, Punjab, India

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2013年 / 10卷 / 06期

关键词：

Statistical convergence; Lacunary sequences; Statistical limit points; Statistical cluster points; Fuzzy number sequences; CONVERGENCE; SUMMABILITY; SUPERIOR; SPACES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any lacunary sequence theta = (k(r)), we define the concepts of So limit point and So cluster point of a sequence of fuzzy numbers X = (X-k) We introduce the new sets Lambda(F)(S theta) (X), Gamma(F)(S theta) (X) and prove some inclusion relaions between these and the sets Lambda(F)(S) (X), Gamma(F)(S) (X) introduced in [3] by Aytar [S. Aytar, Statistical limit points of sequences of fuzzy numbers, Inform. Sci. 165 (2004) 129-1381. Later, we find restriction on the lacunary sequence theta = (k(r)) for which the sets Lambda(F)(S theta) (X) and Gamma(F)(S theta) (X) respectively coincides with the sets Lambda(F)(S) (X) and Gamma(F)(S) (X).

引用

页码：53 / 62

页数：10

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