Filomat 2017 Volume 31, Issue 15, Pages: 4795-4808
https://doi.org/10.2298/FIL1715795O
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Weighted βγ-summability of fuzzy functions of order θ
Ojha Sarita (Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India)
Srivastava P.D. (Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India)
In this paper, the concept of weighted βγ- summability of fuzzy functions of
order θ is introduced and classified into ordinary and absolute sense.
Further, a relationship between the weighted βγ-summability and the
corresponding statistical convergence is established. Also, in case of
ordinary weighted βγ-summability, a result analogous to Tauberian theorem
for fuzzy functions is obtained.
Keywords: sequences of fuzzy numbers, fuzzy function, weighted statistical convergence, weighted summability