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JournalISSN: 2319-765X

IOSR Journal of Mathematics 

International organization of Scientific Research (IOSR)
About: IOSR Journal of Mathematics is an academic journal. The journal publishes majorly in the area(s): Fuzzy logic & Porous medium. Over the lifetime, 1161 publications have been published receiving 2497 citations.

Papers published on a yearly basis

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Journal ArticleDOI
TL;DR: In this paper, a new set theory called neutrosophic set is proposed, which is based on fuzzy topological space and intuitionistic fuzzy topology space, and its properties are discussed.
Abstract: Neutrosophy has been introduced by Smarandache (7, 8) as a new branch of philosophy. The purpose of this paper is to construct a new set theory called the neutrosophic set. After given the fundamental definitions of neutrosophic set operations, we obtain several properties, and discussed the relationship between neutrosophic sets and others. Finally, we extend the concepts of fuzzy topological space (4), and intuitionistic fuzzy topological space (5, 6) to the case of neutrosophic sets. Possible application to superstrings and  

235 citations

Journal ArticleDOI
TL;DR: In this article, a classical linear regression model was fitted into the GDP of Nigeria, and the model was examined for the presence of Multicollinearity using various techniques such as Farrar-Glauber test, Tolerance level, Variance inflation factor, Eigen values etc.
Abstract: This research was set to examine the effect Multicollinearity has, on the standard error for regression coefficients when it is present in a Classical Linear Regression model (CLRM). A classical linear regression model was fitted into the GDP of Nigeria ,and the model was examined for the presence of Multicollinearity using various techniques such as Farrar-Glauber test, Tolerance level, Variance inflation factor, Eigen values etc and the result obtained shows that Multicollinearity has contributed to the increase of the standard error for regression coefficients, thereby rendering the estimated parameters less efficient and less significant in the class of Ordinary Least Squares estimators. Tolerance levels of 0.012, 0.005, 0.002 and 0.001 forβ1, β2, β3 ,and β4 respectively clearly shown a very low tolerance among all the explanatory variables with very high Variance Inflation Factors of 84.472, 191.715,502.179 and 675.633 respectively. A Coefficient of determination (RSquare) of 99%, though signaled a very high validity for the CLRM but it is equally an indications of a very high degree of Multicollinearity among the explanatory variables. The Eigen values of 0.431, 0.005, 0.002 and 0.000 for β0, β1, β2, β3 ,and β4 respectively clearly shown a very low Eigen value among the explanatory variables, which are closer to zero with very high Condition index of 30.983, 49.759 and 100.810 for β2, β3 ,and β4 respectively which indicate that the Multicollinearity present is due greatly to the influence of regressors X2, X3, and X4..

40 citations

Journal ArticleDOI
TL;DR: The Trapezoidal fuzzy numbers have been introduced in the proposed inventory model and it is shown that the proposed approach is simple, gives a better result in relatively less computational work.
Abstract: In the present paper, an inventory model without shortages has been considered in a fuzzy environment. Our goal is to determine the optimal total cost and the optimal order quantity for the proposed inventory model. The Trapezoidal fuzzy numbers have been introduced in order to achieve this goal. The computation of economic order quantity (EOQ) is carried out through defuzzification process by using signed distance method. The signed distance method is more applicable than the other methods of defuzzification. To illustrate the results of the proposed model, we have given two model examples and presented the computational results. Sensitivity for this model is also studied, which shows a linear relation between demand, EOQ, and total cost. The advantage of the proposed approach is that it is simple, gives a better result in relatively less computational work.

38 citations

Journal ArticleDOI
TL;DR: In this paper, the strength and limitation of t-test and Wilcoxon Sign Rank test procedures on paired samples from related population are investigated. But, the test may depend on the assumption that a sample comes from a distribution in a particular family.
Abstract: This article investigates the strength and limitation of t-test and Wilcoxon Sign Rank test procedures on paired samples from related population. These tests are conducted under different scenario whether or not the basic parametric assumptions are met for different sample sizes. Hypothesis testing on equality of means require assumptions to be made about the format of the data to be employed. The test may depend on the assumption that a sample comes from a distribution in a particular family. Since there is doubt about the nature of data, non-parametric tests like Wilcoxon signed rank test and Sign test are employed. Random samples were simulated from normal, gamma, uniform and exponential distributions. The three tests procedures were applied on the simulated data sets at various sample sizes (small, moderate and large) and their Type I error and power of the test were studied in both situations under study.

36 citations

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Performance
Metrics
No. of papers from the Journal in previous years
YearPapers
2017172
2016131
2014435
2013267
2012156