Asian Research Journal of Mathematics https://journalarjom.com/index.php/ARJOM <p style="text-align: justify;"><strong>Asian Research Journal of Mathematics (ISSN: 2456-477X)</strong> aims to publish high-quality papers (<a href="/index.php/ARJOM/general-guideline-for-authors">Click here for Types of paper</a>) in all areas of ‘Mathematics and Computer Science’. By not excluding papers on the basis of novelty, this journal facilitates the research and wishes to publish papers as long as they are technically correct and scientifically motivated. The journal also encourages the submission of useful reports of negative results. This is a quality controlled, OPEN peer-reviewed, open access INTERNATIONAL journal.</p> SCIENCEDOMAIN international en-US Asian Research Journal of Mathematics 2456-477X Fuzzy Alexandrov Topologies Associated to Fuzzy Interval Orders https://journalarjom.com/index.php/ARJOM/article/view/30227 <p><span class="fontstyle0">We characterize the fuzzy </span><span class="fontstyle2">T</span><span class="fontstyle3">0 </span><span class="fontstyle4">- Alexandrov topologies </span><span class="fontstyle0">on a crisp set </span><span class="fontstyle2">X</span><span class="fontstyle0">, which are associated to&nbsp;</span><span class="fontstyle4">fuzzy interval orders </span><span class="fontstyle2">R </span><span class="fontstyle0">on </span><span class="fontstyle2">X</span><span class="fontstyle0">. In this way, we generalize a well known result by Rabinovitch&nbsp;(1978), according to which a crisp partial order is a crisp interval order if and only if the family&nbsp;of all the strict upper sections of the partial order is nested.</span> </p> Gianni Bosi Chiaramaria Panozzo Magal`ı Ernestine Zuanon ##submission.copyrightStatement## 2020-09-30 2020-09-30 1 6 10.9734/arjom/2020/v16i1030227 Concept of Outlier Study: The Management of Outlier Handling with Significance in Inclusive Education Setting https://journalarjom.com/index.php/ARJOM/article/view/30228 <p>Collection of data and to check its suitability is the first step in any statistical data analysis. In such analyses, the presence of outliers appears as an unavoidable important problem. Outliers are unexpected random values in dataset, and they can alter the statistical conclusion and also affect their assumptions. Thus, in order to manage the data properly, outliers must be defined and treated. So all statisticians have to confront the analysis and forced to take a decision. There is only being one of the two extreme choices left for the researcher or statistician during the analysis of outliers. First, either to reject the outlier with the risk of loss of genuine information and the second one is to include them with the risk of error in drawing conclusion. The study therefore summarize&nbsp; the various potential causes of extreme scores in a data set (e.g., data recording or entry errors, sampling errors, and legitimate sampling), how to detect them, and whether they should be removed or not. Another objective of this study was to explore how significantly a small proportion of outliers can affect even simple analyses. The study was explored with citing suitable examples including outlier value and also excluding the outlier data. The examples show a strong beneficial effect of repetition of the study based on extreme of scores. One way ANOVA test was performed and the significance of extreme outlier was described.</p> Abikesh Prasada Kumar Mahapatra Anita Nanda Bibhuti Bhusan Mohapatra Archana Kumari Padhy Indira Padhy ##submission.copyrightStatement## 2020-10-02 2020-10-02 7 25 10.9734/arjom/2020/v16i1030228 Binomial Transform of the Generalized Tribonacci Sequence https://journalarjom.com/index.php/ARJOM/article/view/30229 <p><span class="fontstyle0">In this paper, we define the binomial transform of the generalized Tribonacci sequence and as&nbsp;special cases, the binomial transform of the Tribonacci, Tribonacci-Lucas, Tribonacci-Perrin,&nbsp;modified Tribonacci, modified Tribonacci-Lucas and adjusted Tribonacci-Lucas sequences will be&nbsp;introduced. We investigate their properties in details. We present Binet’s formulas, generating&nbsp;functions, Simson formulas, and the summation formulas for these binomial transforms.&nbsp;Moreover, we give some identities and matrices related with these binomial transforms.</span> </p> Y¨uksel Soykan ##submission.copyrightStatement## 2020-10-08 2020-10-08 26 55 10.9734/arjom/2020/v16i1030229