Characterization of matrix classes involving some sets of summable double sequences of fuzzy numbers

2018 ◽  
Vol 34 (6) ◽  
pp. 4279-4290 ◽  
Author(s):  
Hemen Dutta ◽  
Jyotishmaan Gogoi
Keyword(s):  
Fuzzy Numbers ◽  
Double Sequences ◽  
Matrix Classes ◽  
Sequences Of Fuzzy Numbers

scholarly journals Characterization of matrix classes involving some sets of sequences of fuzzy numbers

Filomat ◽  
2017 ◽  
Vol 31 (19) ◽  
pp. 6101-6112 ◽  
Author(s):  
Hemen Dutta ◽  
Jyotishmaan Gogoi
Keyword(s):  
Level Sets ◽  
Fuzzy Numbers ◽  
Extension Principle ◽  
New Approach ◽  
Matrix Classes ◽  
Sequences Of Fuzzy Numbers

In 1996, M. Stojakovic and Z. Stojakovic examined the convergence of a sequence of fuzzy numbers via Zadeh?s Extension Principle, which is quite difficult for practical use. In this paper, we utilize the notion ?-level sets to deal with convergence and summable related notions and adopted a relatively new approach to characterize matrix classes involving some sets of single sequences of fuzzy numbers. The approach is expected to be useful in dealing with characterization of several other matrix classes involving different kinds of sets of sequences of fuzzy numbers, single or multiple

scholarly journals On the Characterization of Some Classes of Four-Dimensional Matrices and Almost B-Summable Double Sequences

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Orhan Tug
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Double Sequences ◽  
Matrix Classes ◽  
Related Literature ◽  
Double Sequence Spaces

We firstly summarize the related literature about Br,s,t,u-summability of double sequence spaces and almost Br,s,t,u-summable double sequence spaces. Then we characterize some new matrix classes of Ls′:Cf, BLs′:Cf, and Ls′:BCf of four-dimensional matrices in both cases of 0<s′≤1 and 1<s′<∞, and we complete this work with some significant results.

scholarly journals ROUGH CONVERGENCE OF DOUBLE SEQUENCES OF FUZZY NUMBERS

2020 ◽  
Vol 10 (4) ◽  
pp. 1335-1342
Author(s):  
Babaarslan Funda ◽  
◽  
A. Nïhal Tuncer ◽  
Keyword(s):  
Fuzzy Numbers ◽  
Double Sequences ◽  
Sequences Of Fuzzy Numbers

New Classes of Statistically Pre-Cauchy Triple Sequences of Fuzzy Numbers Defined by Orlicz Function

2018 ◽  
Vol 85 (3-4) ◽  
pp. 411
Author(s):  
Sangita Saha ◽  
Santanu Roy
Keyword(s):  
Cauchy Sequence ◽  
Fuzzy Numbers ◽  
Orlicz Function ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Real Numbers ◽  
Fuzzy Real Numbers ◽  
Sequences Of Fuzzy Numbers ◽  
Necessary And Sufficient

In this article, the concept of statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two defined by Orlicz function is introduced. A characterization of the class of bounded statistically pre-Cauchy triple sequences of fuzzy numbers with the help of Orlicz function is presented. Then a necessary and suffcient condition for a bounded triple sequence of fuzzy real numbers to be statistically pre-Cauchy is proved. Also a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be statistically convergent is derived. Further, a characterization of the class of bounded statistically convergent triple sequences of fuzzy numbers is presented and linked with Cesaro summability.

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