Characterizations and uncertainty measurement of a fuzzy information system and related results

An information system (IS) is an important model in the field of artificial intelligence. A fuzzy information system (FIS) may be regarded as an IS under fuzzy environment. This paper obtains some results on a FIS. Operators on a FIS are first researched. Then, relationships between FISs are discuss...

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Bibliographic Details
Published inSoft computing (Berlin, Germany) Vol. 24; no. 17; pp. 12753 - 12771
Main Author Yu, Guangji
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2020
Springer Nature B.V
Subjects
Artificial Intelligence
Computational Intelligence
Control
Decision making
Engineering
Foundations
Fuzzy logic
Fuzzy sets
Homomorphisms
Information systems
Mathematical Logic and Foundations
Mechatronics
Robotics
Set theory
Uncertainty
Characterization
Rough set theory
Inclusion degree
Uncertainty
Dependence
Independence
Measure
Fuzzy distance
Equality
Homomorphism
Fuzzy information system
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Summary:An information system (IS) is an important model in the field of artificial intelligence. A fuzzy information system (FIS) may be regarded as an IS under fuzzy environment. This paper obtains some results on a FIS. Operators on a FIS are first researched. Then, relationships between FISs are discussed from two aspects of dependence and separability, and dependence between FISs is characterized by the inclusion degree and two kinds of fuzzy distances between FISs are proposed. Next, algebraic characterizations of a FIS are obtained and invariant characterizations of a FIS under some homomorphisms are given. Finally, measuring uncertainty of a FIS is investigated, and experimental analyses illustrates that the proposed measures are suitable.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-020-05138-6