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A dialectical rough set theory focussed on the relation between roughly equivalent objects and classical objects was introduced in \cite{AM699} by the present author. The focus of our investigation is on elucidating the minimal conditions…

Logic · Mathematics 2009-09-29 A. Mani

New concepts of rough natural number systems, recently introduced by the present author, are used to improve most rough set-theoretical measures in general Rough Set theory (\textsf{RST}) and measures of mutual consistency of multiple…

Logic · Mathematics 2011-02-15 A. Mani

Knowledge representation learning (KRL) aims to represent entities and relations in knowledge graph in low-dimensional semantic space, which have been widely used in massive knowledge-driven tasks. In this article, we introduce the reader…

Computation and Language · Computer Science 2018-12-31 Yankai Lin , Xu Han , Ruobing Xie , Zhiyuan Liu , Maosong Sun

New concepts of rough natural number systems are introduced in this research paper from both formal and less formal perspectives. These are used to improve most rough set-theoretical measures in general Rough Set theory (\textsf{RST}) and…

Logic · Mathematics 2014-08-07 A. Mani

In one perspective, the main theme of this research revolves around the inverse problem in the context of general rough sets that concerns the existence of rough basis for given approximations in a context. Granular operator spaces and…

Logic · Mathematics 2018-12-06 A. Mani

Reinforcement Learning (RL) has achieved tremendous development in recent years, but still faces significant obstacles in addressing complex real-life problems due to the issues of poor system generalization, low sample efficiency as well…

Artificial Intelligence · Computer Science 2025-02-25 Chao Yu , Shicheng Ye , Hankz Hankui Zhuo

This paper present a strong data mining method based on rough set, which can realize feature selection, classification and knowledge representation at the same time. Rough set has good interpretability, and is a popular method for feature…

Machine Learning · Computer Science 2022-01-13 Shuyin Xia , Xinyu Bai , Guoyin Wang , Deyu Meng , Xinbo Gao , Zizhong Chen , Elisabeth Giem

Reinforcement Learning (RL) can enable agents to learn complex tasks. However, it is difficult to interpret the knowledge and reuse it across tasks. Inductive biases can address such issues by explicitly providing generic yet useful…

Artificial Intelligence · Computer Science 2022-12-13 Thomas Schnürer , Malte Probst , Horst-Michael Gross

Rough set theory models uncertainty by approximating target concepts through lower and upper sets induced by indiscernibility, or more generally, by granulation relations in data tables. This perspective captures vagueness caused by limited…

Artificial Intelligence · Computer Science 2026-04-24 Takaaki Fujita , Florentin Smarandache

Rational approximations are introduced and studied in granular graded rough sets and generalizations thereof by the first author in recent research papers. The concept of rationality is determined by related ontologies and coherence between…

Artificial Intelligence · Computer Science 2022-11-01 A Mani , Sushmita Mitra

A teacher's knowledge base consists of knowledge of mathematics content, knowledge of student epistemology, and pedagogical knowledge. It has severe implications on the understanding of student's knowledge of content, and the learning…

Artificial Intelligence · Computer Science 2024-04-17 A Mani

Rough set theory is a new mathematical approach to imperfect knowledge. The notion of rough sets is generalized by using an arbitrary binary relation on attribute values in information systems, instead of the trivial equality relation. The…

General Mathematics · Mathematics 2015-02-24 M. Abo-Elhamayel

Lattice-theoretic ideals have been used to define and generate non granular rough approximations over general approximation spaces over the last few years by few authors. The goal of these studies, in relation based rough sets, have been to…

Logic · Mathematics 2017-04-20 A Mani

Knowledge plays a central role in human and artificial intelligence. One of the key characteristics of knowledge is its structured organization. Knowledge can be and should be presented in multiple levels and multiple views to meet people's…

Artificial Intelligence · Computer Science 2008-10-28 Yi Zeng , Ning Zhong

Reinforcement learning (RL) agents aim at learning by interacting with an environment, and are not designed for representing or reasoning with declarative knowledge. Knowledge representation and reasoning (KRR) paradigms are strong in…

Artificial Intelligence · Computer Science 2018-11-26 Keting Lu , Shiqi Zhang , Peter Stone , Xiaoping Chen

This paper proposes a tentative and original survey of meeting points between Knowledge Representation and Reasoning (KRR) and Machine Learning (ML), two areas which have been developing quite separately in the last three decades. Some…

Pawlak rough set and neighborhood rough set are the two most common rough set theoretical models. Pawlak can use equivalence classes to represent knowledge, but it cannot process continuous data; neighborhood rough sets can process…

Artificial Intelligence · Computer Science 2022-07-15 Shuyin Xia , Cheng Wang , Guoyin Wang , Weiping Ding , Xinbo Gao , Jianhang Yu , Yujia Zhai , Zizhong Chen

Motivated by the application problem of sensor fusion the author introduced the concept of graded set. It is reasoned that in classification problem arising in an information system (represented by information table), a novel set called…

Artificial Intelligence · Computer Science 2014-06-18 Garimella Rama Murthy

Textual information is considered as significant supplement to knowledge representation learning (KRL). There are two main challenges for constructing knowledge representations from plain texts: (1) How to take full advantages of sequential…

Computation and Language · Computer Science 2016-09-23 Jiawei Wu , Ruobing Xie , Zhiyuan Liu , Maosong Sun

Rough sets are approximations of concrete sets. The theory of rough sets has been used widely for data-mining. While it is well-known that adjunctions are underlying in rough approximations, such adjunctions are not enough for…

Logic in Computer Science · Computer Science 2025-04-08 Yoshihiko Kakutani
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