International Journal of Industrial Mathematics
Volume:11 Issue: 3, Summer 2019

The present paper examines the effect of government consumption expenditures on economic growth in D-8 countries during the period of 1988 to 2010 using the panel data method. Iran, Turkey, Indonesia, Bangladesh, Nigeria, Egypt, Pakistan and Malaysia are the countries that have been researched in this study. Fixed effect method is used for the model estimation that has been acquired from Lizardo and Mollick (2009). According to the obtained results; increasing the government consumption expenditures has a negative impact on economic growth in D-8 countries. On the other hand, the results indicate a negative impact of inflation and a positive impact of investment on economic growth of these countries. Also based on the results, the size of government in D-8 economies was more than optimal size confirming the existence of Armeyi phenomenon in these countries. Create a favorable environment for the reduction of government consumption expenditures and increasing investment in D-8 countries appears to be essential.

Redundancy allocation problem is one of most important problems in reliability area. This problem involves with the suitable redundancy levels under certain strategies to maximizing system reliability under some constraints. Many changes have been made on this problem to draw the problem near to real situations. Selecting the redundancy strategy, using different system configuration are some of these changes. In this paper we considered the effects of technical and organizational activities on this problem and showed the difference between the system reliability with and without using these activities. In this paper we worked on a system containing s sub-systems connected serially together. Each sub-system contains parallel components that can be selected from different component types and all of each sub-system components must be the same. Because redundancy allocation problem belongs to Np. Hard problems, we used a new meta-heuristic algorithm called memetic competition algorithm for solving the presented problem and compared the result of this algorithm and other solving methods.

In this paper, we prove that any BL-general fuzzy automaton (BL-GFA) and its quotient have the same behavior. In addition, we obtain the minimal quotient BL-GFA and minimal quotient transformation of the BL-GFA, considering the notion of maximal admissible partition. Furthermore, we show that the number of input symbols and time complexity of the minimal quotient transformation of a BL-GFA are less than the minimal quotient BL-GFA.

Traditional DEA models do not deal with imprecise data and assume that the data for all inputs and outputs are known exactly. Inverse DEA models can be used to estimate inputs for a DMU when some or all outputs and efficiency level of this DMU are increased or preserved. this paper studies the inverse DEA for fuzzy data. This paper proposes generalized inverse DEA in fuzzy data envelopment analysis.

In this paper , we present the first moment has been defined based on the center of mass from the fuzzy number, then with calculating area between the center of mass, a new ranking method has been proposed. At last we present some numerical examples to illustrate our proposed method, then comparing with distance index ranking method.

In this paper, we have studied the basic arithmetic operations for developed parabolic fuzzy numbers by using the concept of the transmission average, which was already implied in ‎[F. Abbasi ‎et al.,‎ A new attitude coupled with fuzzy thinking to fuzzy rings and fields, ‎‎‎Journal of Intelligent and Fuzzy Systems, 2015‎‎]‎‎ in its rudimentary form and was finally presented in its fully-fledged form in ‎[‎F. Abbasi ‎et al.,‎ A new and efficient method for elementary fuzzy arithmetic operations on ‎‎‎pseudo-geometric fuzzy numbers, Journal of Fuzzy Set Valued Analysis, 2016‎‎]‎. The major advantage of these operations is that they findings are closer to reality than
extension principle-based fuzzy arithmetic operations (in the domain of the membership function) or interval arithmetic (in the domain of $alpha$-cuts). A technical example is given to illustrate applying the method. The proposed method can model and analyze the fuzzy system reliability in a more flexible and intelligent manner in comparison with the other ‎methods.‎

Multiple testing is one of the methods to analyze such data. We apply multiple testing methods in profile monitoring. Profile monitoring is a relatively new method of quality control, which is best used when data processing is performed using curves or profiles within a given period. In this research, we introduce two multiple testing methods for outlier profile detection. We compare the performance of these two methods by simulations.

In The current paper presents an idea for solving a class of linear matrix differential equations of second order. To perform so, the operational matrix of the integration based on the Bernstein multi-scaling polynomials are used to reduce the main problem to system of matrix equations. Numerical experiments illustrate the applicably and efficiency of the propounded ‎technique.‎

In 2014, Gong et al. proposed a simple method for solving dual fuzzy matrix equations in $LR$ form. Later, Kaur and Kumar showed that there is a technical flaw in their method and it is valid only for certain types of $LR$ dual fuzzy matrix equations. The main aim of this paper is to eliminate this technical flaw and also correct some numerical results obtained by Gong et al..