TY - JOUR AU - Mao, Hua PY - 2017/12/24 Y2 - 2024/03/29 TI - Formal Concept Analysis with Constraints by EM Operators JF - Journal of the Indonesian Mathematical Society JA - JIMS VL - 23 IS - 1 SE - Articles DO - 10.22342/jims.23.1.197.13-26 UR - https://jims-a.org/index.php/jimsa/article/view/197 SP - 13-26 AB - <p>Formal concept analysis is a method of exploratory data analysis<br />that aims at the extraction of natural cluster from object-attribute<br />data tables. We present a way to add user's background knowledge to<br />formal concept analysis. The type of background knowledge we deal<br />with relates to relative importance of attributes in the input data.</p><p>We introduce EM operators which constrain in attributes of formal<br />concept analysis. The main aim is to make extraction of concepts<br />from the input data more focused by taking into account the<br />background knowledge. Particularly, only concepts which are<br />compatible with the constraint are extracted from data. Therefore,<br />the number of extracted concepts becomes smaller since we leave out<br />non-interesting concepts. We concentrate on foundational aspects<br />such as mathematical feasibility and computational tractability.</p> ER -