Set Theory Research Papers - Academia.edu.

Based on rough sets theory, from the view of Pansystems soft observation, two pieces of paradoxes in GIS are discussed in this paper. And then the reason and the resolution of the two paradoxes are presented. At the same time the relationship between the two paradoxes is analyzed and a further understanding of paradox and rough sets theory is acquired.

Rough set theory has been studied further increasingly. Practical applications also conduce more to the development of rough set theory, such as the extended research on the equivalence relation. The model of rough set over dual-universes is an extended model of Pawlak rough set and this model depending on the relation themselves. The.

Abstract: Rough set theory is a mathematic method which analyses and treats vagueness and uncertainty, and offers an effective method to data fusion system. This paper compares rough set theory with D-S (Dempster Shafer) theory and fuzzy set theory, introduces some applications of rough set into data preprocessing, design of neural network architecture and data fusion system, discusses and.

This paper discusses the basic concepts of rough set theory and point out some rough set-based research directions and applications. The discussion also includes a review of rough set theory in various machine learning techniques like clustering, feature selection and rule induction. General Terms Information and decision systems, (in.

The International Journal of Rough Sets and Data Analysis (IJRSDA) is a multidisciplinary journal that publishes high-quality and significant research in all fields of rough sets, granular computing, and data mining techniques. Rough set theory is a mathematical approach concerned with the analysis.

Rough set theory proposed by the author in (1) presents still another attempt to this problem. The theory has attracted attention of many researchers and practitioners all over the world, who contributed essentially to its development and applications. Rough set theory has an overlap with many other theories. However we will refrain to.

Research on Extension of the Fuzzy Rough Set Theory. By Yu Zhang. Abstract. Abstract. With the probability rules and the degree of coverage of elements in the partition set, and the combination of the Fuzzy Set Theory and Rough Set Theory, a new extension of Fuzzy Rough Set theory was proposed. It is defined the maximum of Rough Set membership function, the minimum of Rough Set membership.

Research Article On Fuzzy Rough Sets and Their Topological Structures WeidongTang, 1 JinzhaoWu, 1,2,3 andDingweiZheng 4 Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu, China Guangxi University for Nationalities, Nanning, China Guangxi Key Laboratory of Hybrid Computational and IC Design Analysis, Nanning, China.

In this paper, rough set and decision tree combination were used to evaluate the productivity grade of soil in somewhere of Jilin province. The research data had a total of 161 records and 16 attributes. The paper used rough set to reduce the soil attributes, removed 5 redundant attributes and obtained the attributes reduction set, then decision tree method was used to construct the decision.

As an important processing step for rough set theory, attribute reduction aims at eliminating data redundancy and drawing useful information. Covering rough set, as a generalization of classical rough set theory, has attracted wide attention on both theory and application. By using the covering rough set, the process of continuous attribute discretization can be avoided. Firstly, this paper.

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics.

Topics: Bridge Crane, Rough Set, Attribute Reduction, Energy-saving assessment, Electrical engineering. Electronics. Nuclear engineering, TK1-9971, Technology, T.