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ahmet sahiner

Suleyman Demirel University, Mathematics, Faculty Member

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King AbdulAziz University (KAU) Jeddah, Saudi Arabia

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Yuzuncu Yil University

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Brown University

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Ateneo de Manila University

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Papers by ahmet sahiner

A descent global optimization method based on smoothing techniques via Bezier curves

Carpathian Journal of Mathematics, 2017

In this study, we introduce a new global optimization method, named Esthetic Delving Method, base... more In this study, we introduce a new global optimization method, named Esthetic Delving Method, based on the auxiliary function approach. First, we design the method theoretically and then present its implementable version. Finally, we apply the algorithm to the test problems in order to demonstrate its efficiency.

姜素对CD34 肝癌smmc 7721细胞增殖及CD34表达的影响

河南医学研究, 2014

Smoothing Approximations to Non-smooth Functions

Journal of Multidisciplinary Modeling and Optimization, 2019

In this study, a new smoothing method is proposed for non-smooth functions. The theoretical resul... more

Fuzzy Logic Modeling for Prediction of the Nuclear Tracks

Journal of Multidisciplinary Modeling and Optimization, 2018

In this paper, we have applied Fuzzy Logic Modeling (FLM) on nuclear track detector (CR-39) data.... more In this paper, we have applied Fuzzy Logic Modeling (FLM) on nuclear track detector (CR-39) data. These data were obtained practically to find a number of effects tracks of alpha in nuclear track detector (CR-39) for different temperatures and different concentrations at different etchant times. We applied Fuzzy Logic Modeling on this physical data to make it continuous and that shows there is a match between original data and fuzzy and then we found optimal triple (temperature, concentration, etchant time) to get a clearer picture of the number of this tracks.

Bezier Curve Based Smoothing Penalty Function for Constrained Optimization

Journal of Multidisciplinary Modeling and Optimization, 2021

In this study, we consider nonlinear inequality constrained optimization problems. We introduce l... more In this study, we consider nonlinear inequality constrained optimization problems. We introduce l1 exact penalty function approach with a new smoothing function based on Bezier curve. Then, we propose a new algorithm by using the differentiation based methods to solve for solving l1 exact penalty functions. Finally, we apply our algorithm to test problems to demonstrate the effectiveness of the algorithm

FIXED POINT THEOREMS IN p−SUMMABLE SYMMETRIC n−CONE NORMED SEQUENCE SPACES

In this study fixed point theorems and related concepts in summable symmetric cone normed sequenc... more

A new filled function method with two parameters in a directional search

In this paper, We consider the problem of finding the global minimizer point of a given multi-di... more In this paper, We consider the problem of finding the global minimizer point of a given multi-dimensional unconstrained objective function, for that a new algorithm developed, this algorithm based on two steps. First, we transform our problem into one-dimension according to the number of directions. Second, we construct a new filled function at each direction to minimize the one-dimension problem to reduce the number of local minimizers and then we find the global minimizer of the multi-dimensional objective function. We present the results of numerical experiments using test problems taken from literature studies. Numerical results obtained indicate the efficiency and reliability of the proposed filled function methods.

Cone convergence for multiple sequences

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2013

The aim of this paper is to introduce a new type convergence which is useful when a d-multiple se... more

Ideal convergence characterization of the completion of linear -normed spaces

Computers & Mathematics with Applications, 2011

In this paper we give the completion of a linear n-normed space in terms of ideal convergence by ... more

A Study of Rough Set Approach in Gastroenterology

Computational and Mathematical Methods in Medicine, 2013

We try to determine the type of abdominal pain of the patients who have several symptoms. Via the... more We try to determine the type of abdominal pain of the patients who have several symptoms. Via the rough set theory, we obtain information table and discernibility matrix and put forward the status decision information. Thus, we obtain certain results and test these operations by the Rosetta program.

Fuzzy logic modeling of deflection behavior against dynamic loading in flexible pavements

Construction and Building Materials, 2007

Flexible pavements are especially affected by moving vehicles. As a result of the moving vehicles... more

Some new paranormed spaces defined by modulus function

INDIAN JOURNAL OF PURE AND …, 2002

The paper presents some sequence spaces defined by a modulus function and examines some inclusion... more

Extremal I-limit points of double sequences

Applied Mathematics E-Notes, 2008

The concept of ideal convergence was introduced by P. Kostyrko et al in 2000. This concept was ex... more

Selçuk J. Appl. Math. Selçuk Journal of Vol. 9. No. 2. pp. 918, 2008 Applied Mathematics

uvt.ulakbim.gov.tr

Abstract. Ideal convergence was presented by Kostyrko et al. in 2001. This concept was extended t... more

Fuzzy Logic Modeling for Prediction of the Nuclear Tracks

Journal of Multidisciplinary Modeling and Optimization, 2018

In this paper, we have applied Fuzzy Logic Modeling (FLM) on nuclear track detector (CR-39) data.... more In this paper, we have applied Fuzzy Logic Modeling (FLM) on nuclear track detector (CR-39) data. These data were obtained practically to find a number of effects tracks of alpha in nuclear track detector (CR-39) for different temperatures and different concentrations at different etchant times. We applied Fuzzy Logic Modeling on this physical data to make it continuous and that shows there is a match between original data and fuzzy and then we found optimal triple (temperature, concentration, etchant time) to get a clearer picture of the number of this tracks.

ACTA UNIVERSITATIS APULENSIS Special Issue AN APPLICATION OF CONSTRAINED NONLINEAR PROGRAMMING TO THE PHYSICAL PROBLEM: FE-MN BINARY ALLOYS

Abstract. F e − Mn binary alloys having different Mn concentrations were subjected to the process... more Abstract. F e − Mn binary alloys having different Mn concentrations were subjected to the process of boriding at different times and different temperatures. Then, microhardnesses of the binary alloys were measured, [1]. The aim of this paper is to convert physical problem which is trying to reach maximum microhardness of F e − Mn binary alloys to constrained nonlinear problem (NLP) and find the common microhardness of these binary alloys at the same time and same temperature. This study can be extended to many physical problems.

Research Article A Study of Rough Set Approach in Gastroenterology

License, which permits unrestricted use, distribution, and reproduction in any medium, provided t... more License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We try to determine the type of abdominal pain of the patients who have several symptoms. Via the rough set theory, we obtain information table and discernibility matrix and put forward the status decision information. Thus, we obtain certain results and test these operations by the Rosetta program. 1.

Escaping from Current Minimizer by Using an Auxiliary Function Smoothed by Bezier Curves

In this paper, we consider the problem of finding the global minimizer of a given unconstrained o... more In this paper, we consider the problem of finding the global minimizer of a given unconstrained objective function, for that, a new auxiliary function smoothed via Bezier curves is developed. The global optimization method introduced in this paper to find a global minimizer of the given problem by implementing a local search algorithm for the proposed auxiliary function, generating a transformation of the given problem into a one-dimensional one based on the number of the directions and then construct an auxiliary function at each direction to minimize the one-dimensional problem. Finally, some test functions are presented to verify the efficiency and reliability of the proposed algorithm.

Application of Modern and Classical Optimization Techniques in Abrasion of Al-Cu-SiCp and Al-Cu-B4Cp Composites

In this study, we introduce the abrasion resistance of Al-Cu-SiC p and Al-Cu-B 4 C p . Based on F... more In this study, we introduce the abrasion resistance of Al-Cu-SiC p and Al-Cu-B 4 C p . Based on Fuzzy Logic Modeling (FLM) and surface fitting techniques, we propose the abrasion model of Al-Cu-SiC p and Al-Cu-B 4 C p which is decided by the rate of SiC p and B 4 C p, and the amount of applied pressure to the specimens. The model can lead to the best rate of SiC p and B 4 C p and the amount of applied pressure to obtain the minimum abrasion.

Some I-Related Properties of Triple Sequences

Selçuk Journal of Applied Mathematics

Ideal convergence was presented by Kostyrko et al. in 2001. This concept was extended to the doub... more Ideal convergence was presented by Kostyrko et al. in 2001. This concept was extended to the double sequences by Tripathy et al. in 2006. In this paper we introduce the notions of I-convergence, I-bounded, I-inferior and I-superior for triple sequences. We also investigate some further properties of I-limit superior and I-limit inferior of triple sequences.

A descent global optimization method based on smoothing techniques via Bezier curves

Carpathian Journal of Mathematics, 2017

In this study, we introduce a new global optimization method, named Esthetic Delving Method, base... more In this study, we introduce a new global optimization method, named Esthetic Delving Method, based on the auxiliary function approach. First, we design the method theoretically and then present its implementable version. Finally, we apply the algorithm to the test problems in order to demonstrate its efficiency.

姜素对CD34 肝癌smmc 7721细胞增殖及CD34表达的影响

河南医学研究, 2014

Smoothing Approximations to Non-smooth Functions

Journal of Multidisciplinary Modeling and Optimization, 2019

In this study, a new smoothing method is proposed for non-smooth functions. The theoretical resul... more

Fuzzy Logic Modeling for Prediction of the Nuclear Tracks

Journal of Multidisciplinary Modeling and Optimization, 2018

In this paper, we have applied Fuzzy Logic Modeling (FLM) on nuclear track detector (CR-39) data.... more In this paper, we have applied Fuzzy Logic Modeling (FLM) on nuclear track detector (CR-39) data. These data were obtained practically to find a number of effects tracks of alpha in nuclear track detector (CR-39) for different temperatures and different concentrations at different etchant times. We applied Fuzzy Logic Modeling on this physical data to make it continuous and that shows there is a match between original data and fuzzy and then we found optimal triple (temperature, concentration, etchant time) to get a clearer picture of the number of this tracks.

Bezier Curve Based Smoothing Penalty Function for Constrained Optimization

Journal of Multidisciplinary Modeling and Optimization, 2021

In this study, we consider nonlinear inequality constrained optimization problems. We introduce l... more In this study, we consider nonlinear inequality constrained optimization problems. We introduce l1 exact penalty function approach with a new smoothing function based on Bezier curve. Then, we propose a new algorithm by using the differentiation based methods to solve for solving l1 exact penalty functions. Finally, we apply our algorithm to test problems to demonstrate the effectiveness of the algorithm

FIXED POINT THEOREMS IN p−SUMMABLE SYMMETRIC n−CONE NORMED SEQUENCE SPACES

In this study fixed point theorems and related concepts in summable symmetric cone normed sequenc... more

A new filled function method with two parameters in a directional search

In this paper, We consider the problem of finding the global minimizer point of a given multi-di... more In this paper, We consider the problem of finding the global minimizer point of a given multi-dimensional unconstrained objective function, for that a new algorithm developed, this algorithm based on two steps. First, we transform our problem into one-dimension according to the number of directions. Second, we construct a new filled function at each direction to minimize the one-dimension problem to reduce the number of local minimizers and then we find the global minimizer of the multi-dimensional objective function. We present the results of numerical experiments using test problems taken from literature studies. Numerical results obtained indicate the efficiency and reliability of the proposed filled function methods.

Cone convergence for multiple sequences

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2013

The aim of this paper is to introduce a new type convergence which is useful when a d-multiple se... more

Ideal convergence characterization of the completion of linear -normed spaces

Computers & Mathematics with Applications, 2011

In this paper we give the completion of a linear n-normed space in terms of ideal convergence by ... more

A Study of Rough Set Approach in Gastroenterology

Computational and Mathematical Methods in Medicine, 2013

We try to determine the type of abdominal pain of the patients who have several symptoms. Via the... more We try to determine the type of abdominal pain of the patients who have several symptoms. Via the rough set theory, we obtain information table and discernibility matrix and put forward the status decision information. Thus, we obtain certain results and test these operations by the Rosetta program.

Fuzzy logic modeling of deflection behavior against dynamic loading in flexible pavements

Construction and Building Materials, 2007

Flexible pavements are especially affected by moving vehicles. As a result of the moving vehicles... more

Some new paranormed spaces defined by modulus function

INDIAN JOURNAL OF PURE AND …, 2002

The paper presents some sequence spaces defined by a modulus function and examines some inclusion... more

Extremal I-limit points of double sequences

Applied Mathematics E-Notes, 2008

The concept of ideal convergence was introduced by P. Kostyrko et al in 2000. This concept was ex... more

Selçuk J. Appl. Math. Selçuk Journal of Vol. 9. No. 2. pp. 918, 2008 Applied Mathematics

uvt.ulakbim.gov.tr

Abstract. Ideal convergence was presented by Kostyrko et al. in 2001. This concept was extended t... more

Fuzzy Logic Modeling for Prediction of the Nuclear Tracks

Journal of Multidisciplinary Modeling and Optimization, 2018

In this paper, we have applied Fuzzy Logic Modeling (FLM) on nuclear track detector (CR-39) data.... more In this paper, we have applied Fuzzy Logic Modeling (FLM) on nuclear track detector (CR-39) data. These data were obtained practically to find a number of effects tracks of alpha in nuclear track detector (CR-39) for different temperatures and different concentrations at different etchant times. We applied Fuzzy Logic Modeling on this physical data to make it continuous and that shows there is a match between original data and fuzzy and then we found optimal triple (temperature, concentration, etchant time) to get a clearer picture of the number of this tracks.

ACTA UNIVERSITATIS APULENSIS Special Issue AN APPLICATION OF CONSTRAINED NONLINEAR PROGRAMMING TO THE PHYSICAL PROBLEM: FE-MN BINARY ALLOYS

Abstract. F e − Mn binary alloys having different Mn concentrations were subjected to the process... more Abstract. F e − Mn binary alloys having different Mn concentrations were subjected to the process of boriding at different times and different temperatures. Then, microhardnesses of the binary alloys were measured, [1]. The aim of this paper is to convert physical problem which is trying to reach maximum microhardness of F e − Mn binary alloys to constrained nonlinear problem (NLP) and find the common microhardness of these binary alloys at the same time and same temperature. This study can be extended to many physical problems.

Research Article A Study of Rough Set Approach in Gastroenterology

License, which permits unrestricted use, distribution, and reproduction in any medium, provided t... more License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We try to determine the type of abdominal pain of the patients who have several symptoms. Via the rough set theory, we obtain information table and discernibility matrix and put forward the status decision information. Thus, we obtain certain results and test these operations by the Rosetta program. 1.

Escaping from Current Minimizer by Using an Auxiliary Function Smoothed by Bezier Curves

In this paper, we consider the problem of finding the global minimizer of a given unconstrained o... more In this paper, we consider the problem of finding the global minimizer of a given unconstrained objective function, for that, a new auxiliary function smoothed via Bezier curves is developed. The global optimization method introduced in this paper to find a global minimizer of the given problem by implementing a local search algorithm for the proposed auxiliary function, generating a transformation of the given problem into a one-dimensional one based on the number of the directions and then construct an auxiliary function at each direction to minimize the one-dimensional problem. Finally, some test functions are presented to verify the efficiency and reliability of the proposed algorithm.

Application of Modern and Classical Optimization Techniques in Abrasion of Al-Cu-SiCp and Al-Cu-B4Cp Composites

In this study, we introduce the abrasion resistance of Al-Cu-SiC p and Al-Cu-B 4 C p . Based on F... more In this study, we introduce the abrasion resistance of Al-Cu-SiC p and Al-Cu-B 4 C p . Based on Fuzzy Logic Modeling (FLM) and surface fitting techniques, we propose the abrasion model of Al-Cu-SiC p and Al-Cu-B 4 C p which is decided by the rate of SiC p and B 4 C p, and the amount of applied pressure to the specimens. The model can lead to the best rate of SiC p and B 4 C p and the amount of applied pressure to obtain the minimum abrasion.

Some I-Related Properties of Triple Sequences

Selçuk Journal of Applied Mathematics

Ideal convergence was presented by Kostyrko et al. in 2001. This concept was extended to the doub... more Ideal convergence was presented by Kostyrko et al. in 2001. This concept was extended to the double sequences by Tripathy et al. in 2006. In this paper we introduce the notions of I-convergence, I-bounded, I-inferior and I-superior for triple sequences. We also investigate some further properties of I-limit superior and I-limit inferior of triple sequences.