Rule-based reasoning as Boolean transformations
IEEE Transactions on Systems, Man and Cybernetics
Metagraphs: a tool for modeling decision support systems
Management Science
A survey of information retrieval and filtering methods
A survey of information retrieval and filtering methods
Weighted fuzzy production rules
Fuzzy Sets and Systems
Graphical models for machine learning and digital communication
Graphical models for machine learning and digital communication
On fuzzification of some concepts of graphs
Fuzzy Sets and Systems
Managing gigabytes (2nd ed.): compressing and indexing documents and images
Managing gigabytes (2nd ed.): compressing and indexing documents and images
Knowledge-Based Systems for Engineers and Scientists
Knowledge-Based Systems for Engineers and Scientists
Modern Information Retrieval
Soft Computing and Fuzzy Logic
IEEE Software
Knowledge Representation in Fuzzy Logic
IEEE Transactions on Knowledge and Data Engineering
Knowledge Representation Using Fuzzy Petri Nets
IEEE Transactions on Knowledge and Data Engineering
Using Directed Hypergraphs to Verify Rule-Based Expert Systems
IEEE Transactions on Knowledge and Data Engineering
Net-Based Computational Models of Knowledge-Processing Systems
IEEE Expert: Intelligent Systems and Their Applications
Fuzzy Rule Base Systems Verification Using High-Level Petri Nets
IEEE Transactions on Knowledge and Data Engineering
Reasoning in Higraphs with Loose Edges
HCC '01 Proceedings of the IEEE 2001 Symposia on Human Centric Computing Languages and Environments (HCC'01)
Workflow Analysis using Attributed Metagraphs
HICSS '01 Proceedings of the 34th Annual Hawaii International Conference on System Sciences ( HICSS-34)-Volume 9 - Volume 9
Knowledge representation using fuzzy deduction graphs
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Interval-valued fuzzy hypergraph and fuzzy partition
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Concurrent reasoning of fuzzy logical Petri nets based on multi-task schedule
IEEE Transactions on Fuzzy Systems
Self-adaptive neuro-fuzzy inference systems for classification applications
IEEE Transactions on Fuzzy Systems
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This paper presents a graph-theoretic construct called a fuzzy metagraph (FM) with the capability of describing the relationships between sets of fuzzy elements instead of only single fuzzy elements. The algebraic structure of FM and its properties are extensively investigated. Subsequently, the FM construct is applied to rule-based systems. First, we propose FM-based knowledge representation in both graphic and algebraic format. The representation is capable of identifying dependencies across compound propositions in the rules. In the algebraic representation, the FM closure matrix is considered a precompiled rule base enabling efficient query processing. An iterative approach is presented to facilitate the construction and expansion of the FM closure matrix, which is a key for real-world applications. Next, we introduce the concept of indexing, which was originally developed for information retrieval (IR), to enable an immediate extraction of relevant entries from the FM closure matrix. The indexing approach is applied in combination with the FM closure matrix. Based on the combination, corresponding inference mechanisms are introduced to achieve instant acquisition of relevant rules over a large collection of rules. The application in rule-based systems indicates that the combination of FM and IR techniques offers advantages for the mathematical analysis of systems.