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Some New Observations on Wijsman ℐ 2 -Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces
2021
Journal of Mathematics
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2 -Cesàro convergence of double sequence of sets in the intuitionistic fuzzy metric spaces (briefly, IFMS). ...
In this study, we investigate the notions of the Wijsman ℐ 2 -statistical convergence, Wijsman ℐ 2 -lacunary statistical convergence, Wijsman strongly ℐ 2 -lacunary convergence, and Wijsman strongly ℐ ...
Kramosil and Michalek [20] investigated fuzzy metric space (FMS) utilizing the concepts fuzzy and probabilistic metric space. e FMS as a distance between two points to be a nonnegative fuzzy number was ...
doi:10.1155/2021/6897038
fatcat:636xisr7mjcvlpm5q6seymw7pu
Statistically Convergent Sequences in Intuitionistic Fuzzy Metric Spaces
2022
Axioms
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in fuzzy metric spaces. ...
In this paper, we introduce the concepts of statistical convergence and statistical Cauchy sequences with respect to the intuitionistic fuzzy metric spaces inspired by the idea of statistical convergence ...
[22] introduced statistically convergent sequences in fuzzy metric spaces. In view of this, we pay attention to statistical convergence on intuitionistic fuzzy metric spaces with this study. ...
doi:10.3390/axioms11040159
fatcat:yhlsyxbfkfdibmyu6ydu4n4aty
Some Summability Spaces of Double Sequences of Fuzzy Numbers
2013
IOSR Journal of Mathematics
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are complete metric spaces. ...
Let Now one can find that, On Some Summability Spaces of Double Sequences of Fuzzy Numbers This completes the proof. is a complete metric space under the metric h defined by -Proof: Proof is same with ...
In [13] Savaş studied the space m(∆), which we call the space of ∆-bounded sequence of fuzzy numbers and showed that this is a complete metric space. ...
doi:10.9790/5728-0934549
fatcat:moxpjmzeovexpcjg63rz74222e
On Some Summability Spaces of Sequences of Fuzzy Numbers
2013
IOSR Journal of Mathematics
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In this article we introduce and study the notions of ( , ) s vr ...
It is straightforward to see that d is a metric on L(R). In fact (L(R), d) is a complete metric space. For X, YL(R) define X ≤ Y iff X α ≤ Y α for any α[0, 1]. ...
In [13] Savaş studied the space m(∆), which we call the space of ∆-bounded sequence of fuzzy numbers and showed that this is a complete metric space. ...
doi:10.9790/5728-0861216
fatcat:eacd2rahajblvlphfp7j4oth7i
Some Fixed Point Theorems in and966-and968 weak contraction on Fuzzy Metric Space
2018
International Journal of Scientific Research in Mathematical and Statistical Sciences
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In this paper, we discuss some results on fixed point theorems in weak contraction on fuzzy metric spaces, which are study of generalisation of some existing results are also given in the form of corollary ...
Then is topology on , called the topology induced by the fuzzy metric . . A fuzzy metric space in which every Cauchy sequence is convergent is said to be complete. 4. ...
A fuzzy metric space in which every sequence has a convergent subsequence is said to be compact Let be a complete strong fuzzy metric space with continuous t-norm and let is a self-mapping in . ...
doi:10.26438/ijsrmss/v5i3.146152
fatcat:3e6auzwxcfggzfjnmdfj4fgykq
Lacunary statistical convergence in intuitionistic fuzzy n-normed linear spaces
2011
Mathematical and computer modelling
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In this article we introduce the notion of lacunary statistically convergent and lacunary statistically Cauchy sequences in intuitionistic fuzzy n-normed linear spaces and give their characterization. ...
We show that some properties of lacunary statistical convergence of real sequences also hold for sequences in this space. ...
Later on fuzzy logic became an important area of research in various branches of mathematics such as metric and topological spaces [2-4], theory of functions [5,6], approximation theory [7], etc. ...
doi:10.1016/j.mcm.2011.07.020
fatcat:4uftu43cibd4ho2fyuprtbwplm
Constructing of Some New Results in Intuitionistic Fuzzy Metric Space by Applying the Abstraction of Fuzzy Iterated Contraction
2021
Journal of Contemporary Issues in Business and Government
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In this paper, we establish a couple of fixed-point results for fuzzy iterated contraction in the intuitionistic fuzzy metric space. Obtained results are generalization form of well-known results . ...
The established results can further be generalized for soft sets as fixed point theorems for fuzzy soft sets or soft fuzzy sets. ...
Kramosil and Michalek [13] generalize the statistical metric space and it is considered a fuzzy metric space. ...
doi:10.47750/cibg.2021.27.02.430
fatcat:rbrjzuqh3vholmr5tcebdl4cpu
On λ¯-Statistically Convergent Double Sequences of Fuzzy Numbers
2008
Journal of Inequalities and Applications
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We study the notion of λ-statistically convergent for double sequence of fuzzy numbers and also get some inclusion relations. ...
Introduction Nanda 1 studied sequence of fuzzy numbers and showed that the set of all convergent sequences of fuzzy numbers form a complete metric space. ...
In 5 , Savaş generalized the statistical convergence by using de la Vallee-Poussin mean. ...
doi:10.1155/2008/147827
fatcat:v56rkd7gpzhedao6vlo4qggeei
On statistically convergent double sequences of fuzzy numbers
2004
Information Sciences
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We study the notion of λ-statistically convergent for double sequence of fuzzy numbers and also get some inclusion relations. ...
Introduction Nanda 1 studied sequence of fuzzy numbers and showed that the set of all convergent sequences of fuzzy numbers form a complete metric space. ...
In 5 , Savaş generalized the statistical convergence by using de la Vallee-Poussin mean. ...
doi:10.1016/j.ins.2003.09.005
fatcat:dcrrnvcf5bbifhyocqqzutca3e
On Λ− Summable Of Orlicz Space Of Gai Sequences Of Fuzzy Numbers
2010
Zenodo
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In this paper the concept of strongly (λM)p - Ces'aro summability of a sequence of fuzzy numbers and strongly λM- statistically convergent sequences of fuzzy numbers is introduced. ...
In recent years, generalizations of statistical convergence have appeared in the study of strong integral summability and the structure of ideals of bounded continuous functions on locally compact spaces ...
Moreover, statistical convergence is closely related to the concept of convergence in probability. The notion depends on the density of subsets of the subset N of natural numbers. ...
doi:10.5281/zenodo.1330666
fatcat:xfe7xyze3nhkzbuooxcxkysl54
On Some Double Lacunary Sequence Spaces of Fuzzy Numbers
2010
Mathematical and Computational Applications
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In this paper we introduce a new concept for lacunary strong P-convergent with respect to an Orlicz function and examine some properties of the resulting sequence space of fuzzy numbers. ...
We also show that if a sequence is lacunary strong Pconvergence with respect to an Orlicz function then it is , ( ) r s S F θ -convergent. ...
In [18] , Nanda studied on sequences of fuzzy numbers and showed that the set of all convergent sequences of fuzzy numbers forms a complete metric space. ...
doi:10.3390/mca15030439
fatcat:ejqxswst3zgdbfjy5rdjforbvm
On almost λ- statistical convergence of fuzzy numbers - doi: 10.4025/actascitechnol.v36i1.16218
2013
Acta Scientiarum: Technology
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It is also shown that almost λstatistical convergence and strongly almost λ-convergence are equivalent for almost bounded sequences of fuzzy numbers. ...
The purpose of this paper is to introduce the concepts of almost λ-statistical convergence and strongly almost λconvergence of fuzzy numbers. We obtain some results related to these concepts. ...
It is well-known that , n R C is a complete metric space. ...
doi:10.4025/16218
fatcat:vyu5pxhasbdrhabvyrxj4izugm
On almost λ- statistical convergence of fuzzy numbers - doi: 10.4025/actascitechnol.v36i1.16218
2013
Acta Scientiarum: Technology
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It is also shown that almost λstatistical convergence and strongly almost λ-convergence are equivalent for almost bounded sequences of fuzzy numbers. ...
The purpose of this paper is to introduce the concepts of almost λ-statistical convergence and strongly almost λconvergence of fuzzy numbers. We obtain some results related to these concepts. ...
It is well-known that , n R C is a complete metric space. ...
doi:10.4025/actascitechnol.v36i1.16218
fatcat:wcdpnbhv2bf7tnwefbvp22jqk4
Statistically Convergent Fuzzy Sequence Spaces by Fuzzy Metric
2014
Kyungpook Mathematical Journal
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In this article we study different properties of the statistically convergent and statistically null sequence classes of fuzzy real numbers with fuzzy metric, like completeness, solidness, sequence algebra ...
A fuzzy real number X is a fuzzy set on R, i.e. a mapping X : R → I(= [0, 1]) associating each real number t with its grade of membership X(t). Definition 2.3. ...
Though some work have been done on statistically convergent sequences of fuzzy real numbers under classical metric, but a very little work has been done on fuzzy metric. ...
doi:10.5666/kmj.2014.54.3.413
fatcat:5ouqkgumkbbevggiw4oyingx3e
Lacunary Statistical Convergence in Fuzzy Normed Linear Spaces
2017
Applied and Computational Mathematics
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In this paper, it is introduced the concept of lacunary statistical convergence with respect to a fuzzy norm by using lacunary statistical convergence of a sequence and statistical convergent of a sequence ...
with respect to fuzzy norm. ...
Šalát [19] etc studied the concept of statistical convergence in summability theory. in X is statistically convergent to L X ∈ with respect to the fuzzy norm on X provided that for each 0 ε > , we have ...
doi:10.11648/j.acm.20170605.13
fatcat:ozcbo7glkzehhbmxpvnzealide
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