@misc{10481/62405,
year = {2020},
url = {http://hdl.handle.net/10481/62405},
abstract = {Knowledge-base is a fundamental platform in the architecture of an intelligent system.
Relations and operators are popular knowledge in practice knowledge domains. In this paper, we propose a
method to represent the model by combining these kinds of knowledge, called the Rela-Ops model. This
model includes foundation components consisting of concepts, relations, operators, and inference rules.
It is built based on ontology and object-oriented approaches. Besides the structure, each concept of the
Rela-Ops model is a class of objects which also have behaviors to solve problems on their own. The
processing of algorithms for solving problems on the Rela-Ops model combines the knowledge of relations
and operators in the reasoning. Furthermore, we also propose a knowledge model for multiple knowledge
domains, in which each sub-domain has the form as the Rela-Ops model. These representation methods have
been applied to build knowledge bases of Intelligent Problems Solver (IPS) in mathematics. The knowledge
base of 2D-Analytical Geometry in a high-school is built by using the Rela-Ops model, and the knowledge
base of Linear Algebra in university is designed by using the model for multiple knowledge domains. The IPS
system can automatically solve basic and advanced exercises in respective courses. The reasoning of their
solutions is done in a step-by-step approach. It is similar to the solving method by humans. The solutions are
also pedagogical and suitable for the learner’s level and easy to be used by students studying 2D-Analytical
Geometry in high-school and Linear Algebra in university.},
organization = {This work was supported in part by the Universiti Teknologi Malaysia (UTM) under Research University Grant Vot-20H04, in part by the
Malaysia Research University Network (MRUN) Vot 4L876 and in part by the Fundamental Research Grant Scheme (FRGS) Vot
5F073 through the Ministry of Education Malaysia.},
publisher = {Institute of Electrical and Electronics Engineers (IEEE)},
keywords = {Knowledge representation},
keywords = {Knowledge-based systems},
keywords = {Intelligent problem-solver},
keywords = {Knowledge engineering},
title = {A Method for Knowledge Representation to Design Intelligent Problems Solver in Mathematics Based on Rela-Ops Model},
doi = {10.1109/ACCESS.2020.2988929},
author = {Herrera Viedma, Enrique and Nguyen, Hien D.},
}