[PDF] Top 20 Sequence spaces of fuzzy numbers defined by a sequence of moduli

... bounded sequence of positive real numbers and σ one- to- one mapping from the set of positive integers into it self such that σ k (n) = σ (σ k−1 (n)) to define the following fuzzy sequence ... See full document

... The notion of fuzzy sets was introduced by Zadeh [25]. After that many authors have studied and generalized this notion in many ways, due to the potential of the introduced notion. Also it has wide range of ... See full document

... the sequence of Orlicz functions, an infinite matrix, the difference operator m , and I-convergence, we introduce the following new sequence spaces and examine some properties of the resulting ... See full document

... This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the orig[r] ... See full document

... and sufficient conditions for the inclusion relations between X(  n m ) and sufficient conditions for the inclusion relations between X(  n m ) and Y(F,  n m ), where X,Y =  2  or c 2 0 . Sequences of moduli ... See full document

... real sequence was extended to statistical convergence by Fast [] (see also Schoenberg []) as follows: If N denotes the set of natural numbers and K ⊂ N , then K(m, n) denotes the cardinality of the set ... See full document

... Kiliçman, A, Borgohain, S: Genaralized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function.. Mohiuddine, SA, Aiyub, M: Lacun[r] ... See full document

... X-valued sequence spaces throughout the paper, where X, q is a seminormed space, seminormed by ...complex numbers, these spaces represent the w, c, c 0 , c, c 0 , l ∞ , m, m 0 which are the ... See full document

... In this paper, we introduce the sequence space V σ ( M, p, r ) , where M is an Orlicz function, p = ( p m ) is any sequence of strictly positive real numbers and r ≥ 0 and study some of [r] ... See full document

... A subset E of L( R ) is said to be bounded above if there exists a fuzzy number µ, called an upper bound of E, such that X µ for every X ∈ E. µ is called the least upper bound (sup) of E if µ is an upper bound and ... See full document

... -normed spaces was initially developed by Gähler [] in the mid-s, while that of n-normed spaces one can see in Misiak ...complex numbers of dimension d, where d ≥ n ≥ ... See full document

... a fuzzy set has the property of relativity, variability and inexactness in the definition of its ...use fuzzy sets to define the same entity by allowing possible deviations and inexactness in its ...make ... See full document

... new sequence spaces of fuzzy real numbers by using Orlicz function with the notion of generalized de la Vallèe Poussin mean, generalized difference sequences and ...new sequence ... See full document

... of fuzzy sets and fuzzy set operations were first introduced by Zadeh ...of fuzzy sets such as fuzzy topological spaces, similarity relations and fuzzy orderings, fuzzy ... See full document

... On fuzzy metric spaces; Fuzzy Sets and Systems, 12 (1984), ...“Sequence spaces and Series”; Marcel Dekkar, New York, ...the spaces c and c 0 from single to double sequences; ... See full document

... If I = I f , then I f convergence coincides with the usual convergence of fuzzy sequences. If I = I d ( I δ ), then I d ( I δ ) convergence coincides with statistical convergence (logarithmic convergence) of ... See full document

... In this paper, we study convergence of double sequence spaces in 2-normed spaces and obtained a criteria for double sequences in 2normed spaces to be statistically Cauchy sequence in 2-n[r] ... See full document

... Generalized Cλ-Rate Sequence Spaces of Difference Sequence Defined by a Modulus Function in a Locally Convex Space B.Özaltın, İ.. Dağadur∗ Department of Mathematics, Faculty of Scienc[r] ... See full document

... Fibonacci sequence is defined by the property that each number in the sequence is the sum of the previous two numbers; to get started, the first two numbers must be specified, and these ... See full document

... The schemes (.) and (.) above are similar to each other, though their properties are quite different. In fact, the former fails to converge strongly even in Hilbert spaces [], whereas the latter converges ... See full document