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A New Method for Evaporation Modeling: Dynamic Evolving Neural-Fuzzy Inference System
Kisi, Ozgur,Mansouri, Iman,Hu, Jong Wan Hindawi Limited 2017 Advances in meteorology Vol.2017 No.-
<P>Evaporation estimation is very essential for planning and development of water resources. The study investigates the ability of new method, dynamic evolving neural-fuzzy inference system (DENFIS), in modeling monthly pan evaporation. Monthly maximum and minimum temperatures, solar radiation, wind speed, and relative humidity data obtained from two stations located in Turkey are used as inputs to the models. The results of DENFIS method were compared with the classical adaptive neural-fuzzy inference system (ANFIS) by using root mean square error (RMSE), mean absolute relative error (MARE), and Nash-Sutcliffe Coefficient (NS) statistics. Cross validation was applied for better comparison of the models. The results indicated that DENFIS models increased the accuracy of ANFIS models to some extent. RMSE, MARE, and NS of the ANFIS model were increased by 11.13, 11.45, and 6.83% for the Antalya station and 20.11, 12.94%, and 8.29% for the Antakya station using DENFIS.</P>
LACUNARY STATISTICAL CONVERGENCE FOR SEQUENCE OF SETS IN INTUITIONISTIC FUZZY METRIC SPACE
KISI, OMER The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.1-2
We investigate the concept of lacunary statistical convergence and lacunary strongly convergence for sequence of sets in intuitionistic fuzzy metric space (IFMS) and examine their characterization. We obtain some inclusion relation relating to these concepts. Further some necessary and sufficient conditions for equality of the sets of statistical convergence and lacunary statistical convergence for sequence of sets in IFMS have been established. The concept of strong Cesàro summability in IFMS has been defined and some results are established.
ON ${\mathcal{I}}$-LACUNARY ARITHMETIC STATISTICAL CONVERGENCE
KISI, OMER The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.1-2
In this paper, we introduce arithmetic ${\mathcal{I}}$-statistically convergent sequence space $A{\mathcal{I}}SC$, ${\mathcal{I}}$-lacunary arithmetic statistically convergent sequence space $A{\mathcal{I}}SC_{\theta}$, strongly ${\mathcal{I}}$-lacunary arithmetic convergent sequence space $AN_{\theta}[{\mathcal{I}}]$ and prove some inclusion relations between these spaces. Futhermore, we give ${\mathcal{I}}$-lacunary arithmetic statistical continuity. Finally, we define ${\mathcal{I}}$-Cesàro arithmetic summability, strongly ${\mathcal{I}}$-Cesàro arithmetic summability. Also, we investigate the relationship between the concepts of strongly ${\mathcal{I}}$-Cesàro arithmetic summability, strongly ${\mathcal{I}}$-lacunary arithmetic summability and arithmetic ${\mathcal{I}}$ -statistically convergence.
Kisi, Ilim,Ozturk, Gunay Department of Mathematics 2022 Kyungpook mathematical journal Vol.62 No.1
In this manuscript, we handle a tubular surface whose Gauss map G satisfies the equality L<sub>1</sub>G = f(G + C) for the Cheng-Yau operator L<sub>1</sub> in Galilean 3-space 𝔾<sub>3</sub>. We give an example of a tubular surface having L<sub>1</sub>-harmonic Gauss map. Moreover, we obtain a complete classification of tubular surface having L<sub>1</sub>-pointwise 1-type Gauss map of the first kind in 𝔾<sub>3</sub> and we give some visualizations of this type surface.
A NEW TYPE OF TUBULAR SURFACE HAVING POINTWISE 1-TYPE GAUSS MAP IN EUCLIDEAN 4-SPACE 𝔼<sup>4</sup>
Kisi, Ilim,Ozturk, Gunay Korean Mathematical Society 2018 대한수학회지 Vol.55 No.4
In this paper, we handle the Gauss map of a tubular surface which is constructed according to the parallel transport frame of its spine curve. We show that there is no tubular surface having harmonic Gauss map. Moreover, we give a complete classification of this kind of tubular surface having pointwise 1-type Gauss map in Euclidean 4-space ${\mathbb{E}}^4$.
INVOLUTE CURVES OF ORDER k OF A GIVEN CURVE IN GALILEAN 4-SPACE G<sub>4</sub>
Kisi, Ilim,Ozturk, Gunay The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.2
In the present study, we consider the curves in Galilean 4-space ${\mathbb{G}}_4$. We find out the involute curves of order k (k = 1, 2, 3) of a given curve. We get the relationships between the Frenet apparatus of a given curve and its involute curves of order k.
Fibonacci lacunary statistical convergence in intuitionistic fuzzy $n$-normed linear spaces
Omer Kisi,Ibrahim Tuzcuoglu 원광대학교 기초자연과학연구소 2020 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.20 No.3
In the current paper, we investigate the concept of Fibonacci lacunary statistical convergence in intuitionistic fuzzy $n$-normed linear spaces which removes any ambiguity that could arise from the previously defined notion of the same. Some inclusion relations between the sets of Fibonacci statistically convergent and Fibonacci lacunary statistically convergent sequences are examined in an intuitionistic fuzzy $n$-normed linear space. We also define Fibonacci lacunary statistical Cauchy sequence in an intuitionistic fuzzy $n$-normed linear space and prove that it is equivalent to Fibonacci lacunary statistically convergent sequence.
Omer KISI,Mustafa Yildiz 원광대학교 기초자연과학연구소 2023 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.26 No.1
This paper expands upon existing theories regarding the convergence of sequences in neutrosophic normed spaces (NNSs) by introducing the concept of rough statistical convergence for difference sequences in NNSs. The study investigates novel notions, namely rough convergence and rough statistical convergence, specifically in the context of difference sequences in NNSs. Furthermore, the paper analyzes various properties and characteristics of a mathematical construct denoted as $St_{\left(\Theta,\Psi,\Omega \right)}-\text{LIM}_{\Delta t_{w}}^{r}$, which is referred to as the $r$-statistical limit set of the difference sequence $\left(\Delta t_{w}\right)$. The examination of these features aims to deepen the understanding of the behavior and attributes associated with the $r$-statistical limit set in the context of rough statistical convergence in NNSs.
Ilim Kisi,Gunay Ozturk 대한수학회 2018 대한수학회지 Vol.55 No.4
In this paper, we handle the Gauss map of a tubular surface which is constructed according to the parallel transport frame of its spine curve. We show that there is no tubular surface having harmonic Gauss map. Moreover, we give a complete classification of this kind of tubular surface having pointwise 1-type Gauss map in Euclidean $4$-space $\mathbb{E}^{4}$.
INVOLUTE CURVES OF ORDER k OF A GIVEN CURVE IN GALILEAN 4-SPACE G<sub>4</sub>
( Ilim Kisi ),( Gunay Ozturk ) 호남수학회 2018 호남수학학술지 Vol.40 No.2
In the present study, we consider the curves in Galilean 4-space G<sub>4</sub>. We find out the involute curves of order k (k = 1; 2; 3) of a given curve. We get the relationships between the Frenet ap-paratus of a given curve and its involute curves of order k.