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Triple Ⅰ fuzzy reasoning algorithm

Author: ZhaoLi
Tutor: LiuHuaWen
School: Shandong University
Course: Applied Mathematics
Keywords: Fuzzy Reasoning Triple Ⅰ constraint method Triple Ⅰ method Reverse Triple Ⅰ constraint method Reverse Triple Ⅰ method
CLC: O159
Type: Master's thesis
Year: 2010
Downloads: 63
Quote: 0
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Abstract


White Zadeh in 1965 since the concept of fuzzy sets, fuzzy control technology as modern industry and one of the new high-tech product development, widespread attention at home and abroad, but also in applications achieved remarkable success. Fuzzy reasoning fuzzy control One of the core content, and reasoning and logic-based. now in the control field for the widely used CRI (Compositional Rule of Inference) and other methods of defect, Professor Wang Guojun proposed a more rational and logical reasoning based on stronger algorithm - full implication algorithm (also known as triple Ⅰ method). fuzzy inference much attention in recent years, so far, has made a variety of fuzzy reasoning in fuzzy logic, problem definition for different people with different implication operator, due to the use of different implication operator, the conclusion is often different, so showing a diversity of fuzzy logic. thirty years, people have made a variety of vaguely defined relationships and complex computation methods, and other Some ways to improve the CRI method thus be expanded to CRI main line of fuzzy reasoning algorithm constantly incorporating new ideas, which in addition to the main line of reasoning CRI method also includes logical reasoning, interval valued reasoning with fuzzy reasoning algorithm parameters etc. The selection of implication operators and fuzzy reasoning is closely related to the effect of the study on the implication operator fuzzy reasoning and fuzzy logic and fuzzy control of a combination of great significance, and thus for the realization of some of the new fuzzy controller provides the necessary performance indicators The theoretical basis for this paper, the representative of CRI algorithm and triple Ⅰ method for comprehensive and systematic analysis, the definition of a new family of implication operator, and for the family of implication operator gives a fuzzy inference FMP and FMT models Models triple Ⅰ constraint method, triple Ⅰ method and reverse three-constraint method and reverse triple Ⅰ method that helps to improve the reliability of the fuzzy inference result of this paper the structure and main contents are as follows: Chapter introduces the fuzzy reasoning research background and the status quo. second chapter introduces the basic content of fuzzy reasoning, the basic methods used and basic ideas, introduces the fuzzy reasoning triple Ⅰ theory, basic concepts such implication operator and some basic properties. The third chapter is based on Zadeh's CRI and other defects and shortcomings of the algorithm to explore the theory of fuzzy reasoning triple Ⅰ, defines a new family of Han operator to prove that the operator family is fuzzy implication operator, and for the implication operator subfamily gives fuzzy reasoning model and FMT models FMP triple Ⅰ constraint method, triple Ⅰ method that helps to improve the reliability of fuzzy reasoning fourth chapter defines another new operator family, proved The operator family is fuzzy implication operator, and for the family of implication operator gives a fuzzy reasoning model and FMT models FMP reverse three-constraint method and reverse engineering support three algorithms help to improve the fuzzy inference result reliability.

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Fuzzy Mathematics
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