QSVN Soft Sets and Their Applications in Student Classification

QSVN Soft Sets and Their Applications in Student Classification

Kalyan Sinha (Acharya Brojendra Nath Seal College, India) and Pinaki Majumdar (Bolpur College, India)
DOI: 10.4018/978-1-6684-7836-3.ch014
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Abstract

For a learner, grades are very important. However, our modern educational system cannot provide correct grades to a student. In the current grading system, overall educational activities are not measured perfectly. Different letter grades are given to students in different subjects. The class rank is determined by considering average grade of these subjects. All these well-known methods of grading are not errorless. Thus, modern grading systems cannot be a proper reflection of student knowledge. In recent years, several authors have studied problems regarding educational measurement, particularly student assessments and grading. But most of the new methods are based on statistical techniques. Here, the authors have introduced Quadripartitioned single valued neutrosophic soft set (QSVNSS) for the first time. The authors have studied some set theoretic properties of QSVNSS. Also, several distance measures on QSVNSS are introduced. Based on the distance measures on QSVNSS, this chapter proposes some similarity measures on QSVNSS. Finally, these similarity measures are applied to a MADM real life problem.
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Mathematical Background

Neutrosophic sets (NS), QSVN sets are the hybrid version of FS. Both the sets have set a bench mark against the uncertainty oriented real world problem. As a result several applications in different areas of these sets are found. Most of the preliminary ideas can be easily found in any standard reference say [Broumi and Smarandache 2014, Jongsma 1991, McMillan et al, 2002, Maji et al., 2007]. However for our purposes we will recall some definitions as well as properties for smooth understandings of our readers. First of all we consider X≠∅ as a universal set and E as a set of parameters throughout this section.

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