Rough set theory fuzzy belief functions related to statistical confidence:application & evaluation for golf course closing

1995 ◽  
Vol 13 (4) ◽  
pp. 487-502 ◽  
Author(s):  
Margaret F. Shipley ◽  
André De Korvin
Keyword(s):  
Set Theory ◽  
Rough Set ◽  
Rough Set Theory ◽  
Golf Course ◽  
Belief Functions

Interpretations of belief functions in approximation operators by covering

2021 ◽  
pp. 1-11
Author(s):  
Yan-Lan Zhang ◽  
Chang-Qing Li
Keyword(s):  
Set Theory ◽  
Rough Set ◽  
Rough Set Theory ◽  
Evidence Theory ◽  
Sufficient Conditions ◽  
Belief Functions ◽  
Belief Structure ◽  
Approximation Operators ◽  
Necessary And Sufficient ◽  
Covering Rough Set

The rough set theory and the evidence theory are two important methods used to deal with uncertainty. The relationships between the rough set theory and the evidence theory have been discussed. In covering rough set theory, several pairs of covering approximation operators are characterized by belief and plausibility functions. The purpose of this paper is to review and examine interpretations of belief functions in covering approximation operators. Firstly, properties of the belief structures induced by two pairs of covering approximation operators are presented. Then, for a belief structure with the properties, there exists a probability space with a covering such that the belief and plausibility functions defined by the given belief structure are, respectively, the belief and plausibility functions induced by one of the two pairs of covering approximation operators. Moreover, two necessary and sufficient conditions for a belief structure to be the belief structure induced by one of the two pairs of covering approximation operators are presented.

A rough set theory application in forecasting models

2020 ◽  
Vol 3 (2) ◽  
pp. 1-21 ◽  
Author(s):  
Haresh Sharma ◽  
◽  
Kriti Kumari ◽  
Samarjit Kar ◽  
◽  
...  
Keyword(s):  
Set Theory ◽  
Rough Set ◽  
Rough Set Theory ◽  
Forecasting Models ◽  
Theory Application

Extraction of Geo-spatial Relationship Rules Based on Rough Set Theory: Exemplified by Land Use

2009 ◽  
Vol 11 (2) ◽  
pp. 139-144
Author(s):  
Feng CAO ◽  
Yunyan DU ◽  
Yong GE ◽  
Deyu LI ◽  
Wei WEN
Keyword(s):  
Land Use ◽  
Set Theory ◽  
Rough Set ◽  
Rough Set Theory ◽  
Spatial Relationship

Analysing diabetes using rough sets

2020 ◽  
pp. 533-538
Author(s):  
S. Arjun Raj ◽  
M. Vigneshwaran
Keyword(s):  
Set Theory ◽  
Rough Set ◽  
Rough Sets ◽  
Rough Set Theory ◽  
International Diabetes Federation ◽  
Published Data ◽  
Lower And Upper Approximations

In this article we use the rough set theory to generate the set of decision concepts in order to solve a medical problem.Based on officially published data by International Diabetes Federation (IDF), rough sets have been used to diagnose Diabetes.The lower and upper approximations of decision concepts and their boundary regions have been formulated here.

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