A three-way decision method based on Gaussian kernel in a hybrid information system with images: An application in medical diagnosis

An information system as a database that represents relationships between objects and attributes is an important mathematical model in the field of artificial intelligence. Hybrid data means boolean, categorical, real-valued, set-valued data and missing data in this paper. A hybrid information system is an information system where its attribute is hybrid data. This paper proposes a three-way decision method based on hybrid data. First, the distance between two objects based on the conditional attribute set in a given hybrid information system is developed and Gaussian kernel based on this distance is acquired. Then, the fuzzy Tcos-equivalence relation, induced by this information system, is obtained by using Gaussian kernel. Next, the decision-theoretic rough set model in this hybrid information system is presented. Moreover, a three-way decision method is given by means of this decision-theoretic rough set model and inclusion degree between two fuzzy sets. Finally, an example is employed to illustrate the feasibility of the proposed method, which may provide an effective method for hybrid data analysis in real applications.

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A three-way decision method in a fuzzy condition decision information system and its application in credit card evaluation

Granular Computing ◽

10.1007/s41066-019-00172-8 ◽

2019 ◽

Vol 5 (4) ◽

pp. 513-526 ◽

Cited By ~ 3

Author(s):

Zhaowen Li ◽

Dan Huang

Keyword(s):

Information System ◽

Credit Card ◽

Decision Method

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Information structures and uncertainty in an image information system

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-191628 ◽

2021 ◽

Vol 40 (1) ◽

pp. 295-317

Author(s):

Gangqiang Zhang ◽

Zhaowen Li ◽

Pengfei Zhang ◽

Ningxin Xie

Keyword(s):

Information System ◽

Kernel Method ◽

Attribute Reduction ◽

Gaussian Kernel ◽

Information Structures ◽

Image Information ◽

Effectiveness Analysis ◽

Uncertainty Measurement ◽

Properties Of Information ◽

Information Values

An information system as a database that stands for relationships between objects and attributes is an important mathematical model. An image information system is an information system where each of its information values is an image and its information structures embody internal features of this type of information system. Uncertainty measurement is an effective tool for evaluation. This paper explores measures of uncertainty for an information system by using the proposed information structures. The distance between two objects in an image information system is first given. After that, the fuzzy Tcos-equivalence relation, induced by this system by using Gaussian kernel method, is obtained, where Gaussian kernel is based on this distance. Next, information structures of this system are described by set vectors, dependence between information structures is studied and properties of information structures are given by using inclusion degree, and application for information structures and uncertainty measures of an image information system are investigated by the information structures. Moreover, effectiveness analysis is done to show the feasibility of the proposed measures from the angle of statistics. Finally, an application of the proposed measurement for attribute reduction is given. These results will be helpful for understanding the essence of uncertainty in an image information system.

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Three-way decision for incomplete real-valued data

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-201272 ◽

2020 ◽

Vol 39 (5) ◽

pp. 7843-7862

Author(s):

Haili Wen ◽

Fei Xia ◽

Hongxiang Tang

Keyword(s):

Information System ◽

Decision Rule ◽

Rough Set ◽

Equivalence Relation ◽

Risk Preference ◽

Decision Makers ◽

Gaussian Kernel ◽

Decision Attributes ◽

Different Levels ◽

Conditional Attribute

An information system (IS) is a database that expresses relationships between objects and attributes. An IS with decision attributes is said to be a decision information system (DIS). An incomplete real-valued decision information system (IRVDIS) is a DIS based on incomplete real-valued data. This paper studies three-way decision (3WD) for incomplete real-valued data and its application. In the first place, the distance between two objects on the basis of the conditional attribute set in an IRVDIS is constructed. In the next place, the fuzzy Tcos-equivalence relation on the object set of an IRVDIS is received by means of Gaussian kernel. After that, the decision-theoretic rough set model for an IRVDIS is presented. Furthermore, the 3WD method is proposed based on this model. Lastly, to illustrate the feasibility of the proposed method, an application of the proposed method is given. It is worth mentioning that levels of risk may be determined by thresholds that can be directly acquired according to risk preference of different decision-makers, as well as the decision rule for each decision class under different levels of risk is showed in tabular forms.

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Measures of Uncertainty for an Incomplete Set-Valued Information System With the Optimal Selection of Subsystems: Gaussian Kernel Method

IEEE Access ◽

10.1109/access.2020.3039778 ◽

2020 ◽

Vol 8 ◽

pp. 212022-212035

Author(s):

Lijun Chen ◽

Shimin Liao ◽

Ningxin Xie ◽

Zhaowen Li ◽

Gangqiang Zhang ◽

...

Keyword(s):

Information System ◽

Kernel Method ◽

Gaussian Kernel ◽

Optimal Selection ◽

Selection Of

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Information Structures and Uncertainty measures in a Hybrid Information System: Gaussian Kernel Method

International Journal of Fuzzy Systems ◽

10.1007/s40815-019-00779-8 ◽

2020 ◽

Vol 22 (1) ◽

pp. 212-231 ◽

Cited By ~ 1

Author(s):

Jiasheng Zeng ◽

Zhaowen Li ◽

Pengfei Zhang ◽

Pei Wang

Keyword(s):

Information System ◽

Kernel Method ◽

Gaussian Kernel ◽

Information Structures ◽

Uncertainty Measures

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Measures of uncertainty based on Gaussian kernel for a fully fuzzy information system

Knowledge-Based Systems ◽

10.1016/j.knosys.2020.105791 ◽

2020 ◽

Vol 196 ◽

pp. 105791 ◽

Cited By ~ 1

Author(s):

Zhaowen Li ◽

Xiaofeng Liu ◽

Jianhua Dai ◽

Jiaolong Chen ◽

Hamido Fujita

Keyword(s):

Information System ◽

Gaussian Kernel ◽

Fuzzy Information

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Uncertainty Measurement for a Set-Valued Information System: Gaussian Kernel Method

Symmetry ◽

10.3390/sym11020199 ◽

2019 ◽

Vol 11 (2) ◽

pp. 199 ◽

Cited By ~ 1

Author(s):

Jiali He ◽

Pei Wang ◽

Zhaowen Li

Keyword(s):

Information System ◽

Equivalence Relation ◽

Kernel Method ◽

Gaussian Kernel ◽

Intrinsic Properties ◽

Information Structures ◽

Effectiveness Analysis ◽

Uncertainty Measurement ◽

Properties Of Information

A set-valued information system (SIS) is the generalization of a single-valued informationsystem. This article explores uncertainty measurement for a SIS by using Gaussian kernel. The fuzzyTcos-equivalence relation lead by a SIS is first obtained by using Gaussian kernel. Then, informationstructures in this SIS are described by set vectors. Next, dependence between information structuresis presented and properties of information structures are investigated. Lastly, uncertainty measuresof a SIS are presented by using its information structures. Moreover, effectiveness analysis is doneto assess the feasibility of our presented measures. The consequence of this article will help usunderstand the intrinsic properties of uncertainty in a SIS.

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