Towards Optimization of Triangular Norms in Weighted Fuzzy Petri Nets for Hierarchical Applications in Subject Area of Passenger Transport Logistics

Author(s):  
Yurii Bloshko ◽  
Zbigniew Suraj ◽  
Oksana Olar
Author(s):  
Zbigniew Suraj ◽  
Oksana Olar ◽  
Yurii Bloshko

AbstractThe paper describes the analysis of the application of classic and optimized triangular norms in the hierarchical structure of weighted fuzzy Petri nets on the example of passenger transport logistics. The research is presented in a scheme with several levels of tasks. Each task includes some knowledge sets which were previously given by the experts and set into tables of “Object–property” type. It leads to the creation of a hierarchical structure of weighted fuzzy Petri net model which includes 125 possible combinations of triples of functions for calculation processing. A classic triple of functions (ZtN, GtN, ZsN) is tested and compared with an optimized triple (ZtN, ZtN, LsN). Additional verification methods are applied to confirm the practical usefulness of these triples. These techniques imply the use of additional triples which can be associated with each other along with practically efficient mathematical calculations.


2018 ◽  
Vol 101 ◽  
pp. 153-165 ◽  
Author(s):  
Seung-yun Kim ◽  
Yilin Yang
Keyword(s):  

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