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[PDF] Top 20 3. Rough convergence of a sequence of fuzzy numbers

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3. Rough convergence of a sequence of fuzzy numbers

3. Rough convergence of a sequence of fuzzy numbers

... Phu [10] and Burgin [4] introduced the notion of rough convergence indepen- dently with different titles. Here we will adopt the definitions and notations in [10]. In [10], Phu showed that the set LIM r x ... See full document

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On some AI convergent difference sequence spaces of fuzzy numbers defined by the sequence of Orlicz functions

On some AI convergent difference sequence spaces of fuzzy numbers defined by the sequence of Orlicz functions

... new sequence spaces of fuzzy numbers using I-convergence, the sequence of Orlicz functions, an infinite matrix, and the difference ...the sequence spaces w I(F) [A, M, m , p], w ... See full document

13

On Casaro Sequence Space of Fuzzy Numbers Defined by a Modulus Function

On Casaro Sequence Space of Fuzzy Numbers Defined by a Modulus Function

... 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 measures ... See full document

6

On  Statistically Convergent Double Sequences of Fuzzy Numbers

On Statistically Convergent Double Sequences of Fuzzy Numbers

... studied sequence of fuzzy numbers and showed that the set of all convergent se- quences of fuzzy numbers form a complete metric ...of fuzzy numbers. Kwon and Shim 3 ... See full document

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Difference entire sequence spaces of fuzzy numbers

Difference entire sequence spaces of fuzzy numbers

... 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

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Sequence spaces of fuzzy numbers defined by a sequence of moduli

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

12

New classes of A-I2 convergence double sequence spaces of fuzzy numbers defined by sequence of Orlicz functions

New classes of A-I2 convergence double sequence spaces of fuzzy numbers defined by sequence of Orlicz functions

... 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

17

A Case Study of Unbalance Power System with Fuzzy Fault Impedance

A Case Study of Unbalance Power System with Fuzzy Fault Impedance

... of 3 phases with fuzzy numbers of magnitude and displacement from each other, having the same sequence of the original phases, formed a 3-phases unbalanced ...negative sequence ... See full document

6

On Double Statistical  Convergence of Fuzzy Numbers

On Double Statistical Convergence of Fuzzy Numbers

... real numbers can be embedded in the set of fuzzy numbers, statistical convergence in reals can be considered as a special case of those fuzzy ...of fuzzy numbers is ... See full document

7

Pascal Triple Entire Sequence Space of Fibonacci Binomial Matrix on Rough Statistical Convergence and its Rate

Pascal Triple Entire Sequence Space of Fibonacci Binomial Matrix on Rough Statistical Convergence and its Rate

... statistical convergence for real/complex sequences. A triple sequence can be expressed as , where and represent the sets comprising natural numbers, real numbers and complex numbers ... See full document

7

Some new lacunary statistical convergence with ideals

Some new lacunary statistical convergence with ideals

... 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

9

Convergence of Successive Approximations for Fuzzy Differential Equations in The Quotient Space of Fuzzy Numbers

Convergence of Successive Approximations for Fuzzy Differential Equations in The Quotient Space of Fuzzy Numbers

... HE fuzzy differential equation is one of the important part of the fuzzy analysis ...of fuzzy valued mappings were initially studied by Puri and Ralescu ...the fuzzy differential equation and ... See full document

6

1.Wijsman $\mathcal{I}$-Invariant Convergence of Sequences of Sets

1.Wijsman $\mathcal{I}$-Invariant Convergence of Sequences of Sets

... σ-statistical convergence and lacunary σ-statistical con- vergence and gave some inclusion ...σ- convergence was generalized by Sava¸s ...I-invariant convergence and lacunary I-invariant Cauchy ... See full document

9

I- convergent sequence spaces of fuzzy real numbers defined by sequence of modulus functions

I- convergent sequence spaces of fuzzy real numbers defined by sequence of modulus functions

... f convergence coincides with the usual convergence of fuzzy ...) convergence coincides with statistical convergence (logarithmic convergence) of fuzzy ...u ... See full document

12

Generalized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function

Generalized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function

... 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 spaces using ... See full document

10

Generalizations of Rough Functions in Topological Spaces by Using Pre Open Sets

Generalizations of Rough Functions in Topological Spaces by Using Pre Open Sets

... are obtained about rough sets and fuzzy sets in [20-22]. Topological ideas are present not only in almost all areas of today mathematics, for example biochemistry [23] information systems [24] and others ... See full document

8

On some results in intuitionistic fuzzy ideal convergence double sequence spaces

On some results in intuitionistic fuzzy ideal convergence double sequence spaces

... Recently, spaces of ideal convergent sequences of bounded linear operators were studied by Khan et al. (Numer. Funct. Anal. Optim. 39:1278-1290, 2018). This has motivated us to propose the intuitionistic fuzzy ... See full document

10

1.Rough convergence in 2-normed spaces

1.Rough convergence in 2-normed spaces

... the rough continuity of linear operators and showed that every linear operator f : X → Y is r -continuous at every point x ∈ X under the assumption dimY < ∞ and r > 0 where X and Y are normed ...of ... See full document

9

Wijsman Rough Lacunary Statistical Convergence on I Cesaro Triple Sequences

Wijsman Rough Lacunary Statistical Convergence on I Cesaro Triple Sequences

... triple sequence (real or complex) can be defined as a function x : N × N × N → R ( C ) , where N , R and C denote the set of natural numbers, real numbers and complex numbers ...triple ... See full document

11

Comparison of Robust Nearest Neighbour fuzzy Rough
          Classifier (RNN-FRC) with KNN and NEC Classifiers

Comparison of Robust Nearest Neighbour fuzzy Rough Classifier (RNN-FRC) with KNN and NEC Classifiers

... — Fuzzy rough set, generalized from Pawlak’s rough sets, were introduced for dealing with continuous or fuzzy ...of fuzzy rough sets is sensitive to noisy samples, especially ... See full document

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