A formal tool, the High Level Fuzzy Petri Net, is proposed for representing and processing fuzzy production rules in a knowledge base. The basic net structures to model inference patterns in approximate reasoning are introduced. The chaining mechanism used and the modeling of rules with fuzzy quantifiers and certainty factors are discussed. We have also investigated the representation of parallel and conflicting rules. Two types of fuzzy reasoning algorithms, to answer data driven and goal driven queries are described. The issue of time complexity of the algorithms is also addressed.
Prediction in complex systems is an ongoing challenge both as a methodological pursuit and applied endeavor exhibiting far-reaching implications. One of the visible trends in the current developments of prediction models has to be acknowledged: (i) there are no ideal prediction models, and (ii) quantifying quality of prediction becomes of paramount practical relevance. These two observations led to the emergence of a non-numeric constructs and mechanisms of evaluation of prediction results coming in the form of so-called prediction intervals. In this study, we cast the prediction problem in the framework of Granular Computing and take advantage of the well-established methodology and algorithms supporting a comprehensive of processing information granules. The concept of prediction intervals is generalized to prediction information granules. We also benefit from a variety of ways in which information granules are formally expressed as intervals, fuzzy sets, rough sets, etc. The ensuing algorithms producing granular prediction results are classified as those implied by optimized granular parameter space or optimized granular output space. We demonstrate that the proposed approach helps view prediction intervals as some special cases of prediction information granules. The concept of information granularity is also studied in the context of non-numeric (granular) prediction horizons, which can be conveniently formalized with the aid of information granules. Furthermore the concepts of information granules of type-2 and their role in the enhancements of prediction models are studied.
The software paradigm of writing sequential programming tasks executed on a single processor has pervaded computers since their dawning. In spite of progress, sequential execution of certain algorithms remains limited by this paradigm. In particular, fuzzy control systems involve fuzzy set operations, which require significant amounts of vector and matrix computation. This computation can be considered an inherently parallel task, and performing these operations in software results in inefficient execution, severely limiting the use of fuzzy operations in real-time systems where fast responses are required. This paper would explore solutions to this problem using software, hardware and finally a hybrid approach with a proposed computing architecture and platform known as a granular computer (GC).
A service optimization method for polyester fiber production process is proposed. According to the production batch and production specifications, the method considers the service cost as the optimization objective, and uses data model to determine the specific process parameters in the polyester fiber production process. First, two options for the overall process of polyester fiber are introduced: on-demand manufacturing and product development. Second, the impact of different batch request tasks on the performance index of each stage is determined. Finally, the service optimization measures of different batches are proposed. By comparing the similarity between the current data samples and the overall data, the optimal production plan of the overall production process is formed. Simulation results show that the immune algorithm inspired from endocrine regulation has the best performance on the optimal decision-making combination, which is helpful for the development of new polyester products. We investigate how to reduce energy consumption of system resources, and how to choose the best service from a large number of candidate services. In the overall polyester fiber production process, users are not only consumers, but also designers and producers, achieving the real "integration of production and consumption".