Theory of Approximation and Applications
Volume:15 Issue: 1, Winter and Spring 2021

Recently, codes over some special finite rings especially chain rings have been studied. More recently, codes over finite non-chain rings have been also considered. Study on codes over such rings or rings in general is motivated by the existence of some special maps called Gray maps whose images give codes over fields. Quantum error-correcting (QEC) codes play a crucial role in protecting quantum information. The construction of quantum codes via classical codes over 2 F was first introduced by Calderbank and Shor [4] and Steane [13] in 1996. This method, known as CSS construction, has received a lot of attention and it has allowed to find many good quantum stabilizer codes. Later, construction of quantum codes over larger alphabets from classical linear codes over q F has shown by Ketkar et al. in [10]. One direction of the main research in quantum error correction codes is constructing quantum codes that have large minimum distances [9] for a given size and length. In [14], based on classical quaternary constacyclic linear codes, some parameters for quantum codes are obtained. In [8, 9], respectively based on classical negacyclic and constacyclic linear codes some parameters for quantum MDS codes are presented. In this work, we determine self-dual and self-orthogonal codes arising from constacyclic codes over the group ring(Zq[v]/G

Noise annoyance can result from interference with daily activities, feelings, thoughts, sleep, or rest, and may be accompanied by negative emotional responses, such as irritability, distress, exhaustion, a wish to escape the noise, and other stress-related symptoms. Hence, the main aim of the current study is to provide an expert system using the fuzzy approach to determine the effects of noise environment on annoyance. Speech annoyance is considered to be a function of noise levels, exposure duration, the noise level in habitat, and age. It is implemented on fuzzy logic employing the Mamdani techniques. The results are found to be annoyance reactions in old are stronger than in young relative to the noise exposure. Annoyance reactions can be somewhat stronger due to the combined effects of the noise level in habitat, noise level, and age. The study showed that the noise level should not exceed 75 dB(A) for ‘young’ and ‘middle-aged’ and 64 dB(A) for ‘old’ persons.

The objective of this study was to optimize the costs of health logistics in the studied system and to cope with the planned budget cuts for health and treatment for the studied system. The question was that; what was the most influential factor in increasing costs, which reduced the planned healthcare budget concerning the studied system? At first a number of variables were defined. Using one-way analysis of variance, we examined the costs in the 12 months of 2016, whether the total costs in the 12 months of 2016 were equal or not. Then, using the Fisher test investigated among the 12 months, which month (s) were the most expenditure; after that, it is important to determine what has caused this high costs. Finally, we presented a model for optimizing and reducing costs. For these cases, the design of experiments and the full factorial design were used. The results of one-way ANOVA showed that the total amount of costs in the 12 months of 2016 were not equal. Fisher test showed that the second and fifth months had the highest cost; also, design of experiments with full factorial method showed that the cost-increasing factors were orders, stockroom and demand, respectively.

Loss aversion, the principle that losses loom larger than gains, is among the most widely accepted ideas in the social sciences. Behavioral finance is a division of finance science that investigates the behavior of the financial markets regarding their psychology. Loss aversion is among the behavioral effects of the investors that have bad consequences and leads to a decrease in the portfolio return and makes the potential of receiving benefit limited. considering the salience of the role of the investing companies in selecting the optimal investment portfolio in the stock exchange of Tehran. Investors unfamiliar with financial markets and investor retailers have reduced their risk by turning to investment firms and expecting them to attract the best possible returns on their investments. The current research has investigated the disposition effect of loss aversion in the portfolio of 50 investment companies that includes 1100 companies for 3 succeeding years from 2017 to 2019 monthly. In order to categorize the data and define the variables and analyze them, two software has been used "Eviews" and "Excel". The results of the research confirm that there exists a disposition effect of the loss aversion in the investment companies of the stock exchange of Tehran.

Notice that best proximity point results have been studied to find necessaryconditions such that the minimization problemminx∈A∪Bd(x,Tx)has at least one solution, where T is a cyclic mapping defined on A∪B.A point p ∈ A∪B is a best proximity point for T if and only if thatis a solution of the minimization problem (2.1). Let (A,B) be a nonemptypair in a normed linear space X and S,T : A∪B → A∪B be two cyclicmappings. Let (A,B) be a nonempty pair in a normed linear space X andS,T : A∪B → A∪B be two cyclic mappings. A point p ∈ A∪B is called acommon best proximity point for the cyclic pair (T,S) provided that∥p − Tp∥ = d(A,B) = ∥p − Sp∥In this paper, we survey the existence, uniqueness and convergence of a com-mon best proximity point for a cyclic weak ST − ϕ-contraction map, whichis equivalent to study of a solution for a nonlinear programming problem inthe setting of uniformly convex Banach spaces. We will provide examples toillustrate our results.

The construction of a control is usually based on completeinformation on the coordinates of an object. In the absence ofthis information, the control can be constructed by solving twoconsecutive sub problems, namely, detecting a desired object andcapturing the target object with complete information on itscoordinates. In this paper we suppose that start-point for motionsis variable and using the diagrams constructed in the plane ofgeometric objects of the operation zone of the manipulator, theproblem of selecting a control under which a guaranteed searchwith a subsequent capture of a target object is carried out in aminimum time is solved.

The Wiener index of a graph G is defined as W(G) = ... where V (G) is the setof all vertices of G and for i,j in V (G), d(i,j) is the minimum distance between i and j. Ashrafiand yousefi (see A. R. Ashrafi and S. Yousefi, Computing the Wiener Index of a TUC4C8(S)Nanotorus, MATCH Commun. Math. Comput. Chem., 57(2)(2007), 403-410) computed theWiener index of TUC4C8(S) Nanotorus. In this paper we use a new method to compute theWiener index of these Nanotorus.

This paper reports on a study of the use of super-efficiency approach in data envelopment analysis (DEA) sensitivity analysis for the case of “exogenously fixed” factors. This issue is important since in any realistic situation there may exist exogenously fixed or non-discretionary factors that are beyond the control of a DMU’s management, which also need to be considered. When a DMU under evaluation is not included in the reference set of the original DEA models, the resulting DEA models are called super-efficiency DEA models. In this paper, by means of the modified Banker and Morey’s (BM hereafter) model [2], in which the test DMU is excluded from the reference set, we show that super-efficiency score can be decomposed into two data perturbation components of a particular test frontier decision making unit (DMU) and the remaining DMUs. As a result, we are able to determine what perturbations of discretionary data can be tolerated before frontier DMUs become nonfrontier.

A new iterative is proposed for finding a common fixed points of multi-valuedquasi nonexpansive mappings and the strong convergence the scheme is proved inCAT(0) spaces. The strong convergence theorem for hemicompact map shown isalso.

Supplier selection is a process by which firms identify, evaluate, and contract with suppliers and plays a vital role in the management of a supply chain. Hence, the goal of the current paper is to propose a simple non-parametric model for the multiple criteria supplier selection problem. The suggested model provides non-zero weights for all criteria and allows the manager to get faster results by ranking the suppliers without solving the model n times.

In this paper, we introduce a new iterative midpoint rule for finding a solutionof fixed point problem for a non-expansive semigroup in smooth Banach spaces. Weestablish a strong convergence theorem for the sequences generated by our proposediterative scheme. A numerical example present to illustrate the convergenceresult. Our results improve and extend the corresponding results in the literature.

This study is based on the article “Parameter Duration” Method for Solving Nonlinear Fredholm Integral Equations of the Second kind and is collected from the writings of Nineh and Vitkha. In this paper, first, the Fredholm nonlinear integral equation of the second type is solved using the parametric continuity method. Next, the parametric continuity method is introduced to solve the turbulent nonlinear integral equation of the second type, which is an extension of the paradoxical mapping method. Also, the parametric continuity method is applied to solve the nonlinear integral equation of the second type. Lastly, sample examples are given to show the effectiveness and convenience of the parametric continuity method.