A New Linguistic Petri Net for Complex Knowledge Representation and Reasoning
Document Type
Article
Publication Date
3-1-2022
Abstract
Fuzzy Petri nets (FPNs) are a useful instrument for modelling expert systems to conduct knowledge representation and reasoning. Many studies have been carried out for improving the performance of FPNs in terms of their accurate representation of knowledge and power of approximate reasoning. Nevertheless, the current representation methods with FPNs are unable to handle the uncertain linguistic knowledge given by domain experts and the reliability of their judgments. In addition, the existing reasoning algorithms have no way to capture the interrelationship of the propositions with the same output transition. Therefore, we present a new type of FPNs, called 2-dimensional uncertain linguistic Petri nets (2DULPNs). The 2-dimensional uncertain linguistic variables (2DULVs) and Choquet integral are combined for knowledge representation and reasoning for the first time. The truth degrees of propositions, thresholds and certainty values of linguistic production rules are denoted as 2DULVs. Some new aggregated operators based on Choquet integral are proposed and used in the approximate reasoning to capture the interactions among antecedent propositions. Finally, an equipment fault diagnosis example is provided to illustrate the correctness and effectiveness of the proposed 2DULPN model.
Identifier
85100562982 (Scopus)
Publication Title
IEEE Transactions on Knowledge and Data Engineering
External Full Text Location
https://doi.org/10.1109/TKDE.2020.2997175
e-ISSN
15582191
ISSN
10414347
First Page
1011
Last Page
1020
Issue
3
Volume
34
Recommended Citation
Liu, Hu Chen; Luan, Xue; Zhou, Meng Chu; and Xiong, Yun, "A New Linguistic Petri Net for Complex Knowledge Representation and Reasoning" (2022). Faculty Publications. 3103.
https://digitalcommons.njit.edu/fac_pubs/3103