Multiple sequences of fuzzy numbers and their statistical convergence

Abstract

DEA is the way of evaluating the performance of decision-making units on the basis of the degree of efficiency. Unfortunately, congestion has been known as a technical inefficiency for at least three decades just because of the lack of determining the congestion border. In this article, we have introduced the concept of the congestion hyperplane without considering the efficiency value. This has considerably reduced the calculation, and the congestion border has been determined. In addition, the existence of this hyperplane is ascertained. For this purpose, we determine the BCC-efficient DMUs. The normal vector of the hyperplane is denoted by these values. This hyperplane can pass from any of the BCC-efficient DMUs. Next, we have shown that the previous congestion methods are covered and improved by this hyperplane.

Triple Lacunary Sequence Spaces for Fuzzy Numbers

“…Verilecek olan kavramlar her aşamada kullanılacaktır. Makalenin okuyucuları daha fazla ayrıntı için [2,[4][5]8,10,15,19,[22][23]27,[30][31][32][33][34]37,40,43] kaynaklarından faydalanabilirler.…”

“…Savaş [35] bulanık sayıların çift indisli yakınsak dizilerini sundu ve bulanık sayıların her çift indisli yakınsak dizisinin kümesinin tam olduğunu belirtti. Çift indisli ve üç indisli diziler hakkında birçok farklı çalışma araştırmacılar tarafından yapılmıştır [5,7,12,[15][16][18][19][37][38]40].…”

On generalized statistical convergence of order β of sequences of fuzzy numbers

“…Later on sequences of fuzzy numbers have been discussed by Altinok et al [8,10], Altin et al [36], Burgin [21], Hančl et al [16], Fang and Hung [19], Kumar et al. [28][29][30][31]35], Wang and Xi [7], Aytar and Pehlivan [33], Mursaleen and Başarır [26], Tripathy and Baruah [3], Tripathy and Dutta [4] and many others.…”

$\mathcal{I}$ and $\mathcal{I}^{\ast}$ convergence of multiple sequences of fuzzy numbers

“…Continuing our work [18], in present paper, we study the concept of ideal convergence for sequences of fuzzy numbers having multiplicity greater than or equal to two.…”

“…In 2003 [8], the author extended statistical convergence from single to multiple real sequences and obtained some results for real double sequences. Very recently, Kumar et al [18] studied the concept of statistical convergence for multiple sequences of fuzzy numbers.…”