Examining Granular Computing from a Modeling Perspective

In this paper, we use a set of unified components to conduct granular modeling for problem solving paradigms in several fields of computing. Each identified component may represent a potential research direction in the field of granular computing. A granular computing model for information analysis is proposed. The model may suggest that granular computing is an instrument for implementing perception based computing based on numeric computing. In addition, a novel granular language modeling technique is proposed for information extraction from web pages. This paper also suggests that the study of data mining in the framework of granular computing may address the issues of interpretability and usage of discovered patterns

A Logic Approach to Granular computing

This article was originally published by the International Journal of Cognitive Informatics and Natural IntelligenceGranular computing is an emerging field of study that attempts to formalize and explore methods and heuristics of human problem solving with multiple levels of granularity and abstraction. A fundamental issue of granular computing is the representation and utilization of granular structures. The main objective of this article is to examine a logic approach to address this issue. Following the classical interpretation of a concept as a pair of intension and extension, we interpret a granule as a pair of a set of objects and a logic formula describing the granule. The building blocks of granular structures are basic granules representing an elementary concept or a piece of knowledge. They are treated as atomic formulas of a logic language. Different types of granular structures can be constructed by using logic connectives. Within this logic framework, we show that rough set analysis (RSA) and formal concept analysis (FCA) can be interpreted uniformly. The two theories use multilevel granular structures but differ in their choices of definable granules and granular structures.NSERC Canada Discovery gran

A Logic Language of Granular Computing

Granular computing concerns human thinking and problem solving, as well as their implications to the de-sign of knowledge intensive systems. It simplifies com-plex real world problems by considering different lev-els of granularity. Basic granules represent the elemen-tary units of human knowledge. A granular structure re-flects structural connections of different pieces of knowl-edge. The main objective of this paper is to show how to construct granular structures in a logic setting. This is done by interpreting notions of granular computing by using a logic language L. Two types of granular structures are constructed based on the basic granules, called ∩-closure granular structure and ∪-closure gran-ular structure. An information table is used to give a concrete interpretation of the language L for construct-ing granular structures. 1

A Logic Language of Granular Computing

Granular computing concerns human thinking and problem solving, as well as their implications to the design of knowledge intensive systems. It simplifies complex real world problems by considering different levels of granularity. Basic granules represent the elementary units of human knowledge. A granular structure reflects structural connections of different pieces of knowledge. The main objective of this paper is to show how to construct granular structures in a logic setting. This is done by interpreting notions of granular computing by using a logic language L. Two types of granular structures are constructed based on the basic granules, called ∩-closure granular structure and ∪-closure granular structure. An information table is used to give a concrete interpretation of the language L for constructing granular structures. 1