Intuitionistic fuzzy 2-normed space and some related concepts

Mursaleen, M.; Lohani, Q. M. Danish

doi:10.1016/j.chaos.2008.11.006

Cited by 51 publications

(31 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, the concept of intuitionistic fuzzy 2-normed space was introduced by Mursaleen and Lohani [29]. Vijayabalaji et al [33] introduced the concept of intuitionistic fuzzy n-normed linear space.…”

Section: Definition 13 Let N ∈ N and X Be A Real Linear Space Of Dimmentioning

confidence: 99%

Statistical Convergence in Intuitionistic Fuzzy n-normed Linear Spaces

Sen

Debnath

2011

Fuzzy Information and Engineering

View full text Add to dashboard Cite

The aim in our article is to introduce the notion of statistical convergence and statistically Cauchy sequences in intuitionistic fuzzy n-normed linear spaces. The paper shows that some properties of statistical convergence of real sequences also hold for sequences in this space. Characterization for statistically convergent and statistically Cauchy sequences is also given. Further, the concept of statistical limit points and statistical cluster points are introduced and their relation with limit points of sequences have been investigated.

show abstract

Section: Definition 13 Let N ∈ N and X Be A Real Linear Space Of Dimmentioning

confidence: 99%

Statistical Convergence in Intuitionistic Fuzzy n-normed Linear Spaces

Sen

Debnath

2011

Fuzzy Information and Engineering

View full text Add to dashboard Cite

show abstract

“…Recently Mursaleen and Lohani [7] defined the concept of intuitionistic fuzzy 2-normed space which is generalization of the notion of intuitionistic fuzzy.…”

Section: Introductionmentioning

confidence: 99%

λ – Statistical convergence in intuitionistic fuzzy 2–normed space

Savaş

2012

AIP Conference Proceedings

View full text Add to dashboard Cite

show abstract

“…Then, Saadati et al have obtained a modified case of intuitionistic fuzzy normed spaces by improving the separation condition and strengthening some conditions in the definition of [24]. Many authors have considered the intuitionistic fuzzy normed linear spaces, and intuitionistic fuzzy 2-normed spaces (see [1], [2], [13], [16]). Also, the generalized Hyers-Ulam stability of different functional equations in intuitionistic fuzzy normed spaces has been studied by a number of the authors (see [5], [15], [20], [21] and [26])…”

Section: Introductionmentioning

confidence: 99%