The Triple Ⅰ Algorithm Of Fuzzy Reasoning

Since the concept of Fuzzy sets was put forward by Zadeh in 1965, Fuzzy control technology has received great attention in the word as a high-tech widely used in modern industry and new products development. And it has made remarkable success in applications. Fuzzy reasoning is one of the core contents of Fuzzy control, while reasoning is based on logic. Aiming at making up the defacts of the methods which are widely used in the control field such as CRI(Compositional Rule of Inference), Professor Wang Guojun put forward a new reasoning algorithm——Total Implication Algorithm (also called Triple I Algorithms), which is more reasonable and has better logic foundation. Fuzzy reasoning is under the spotlight in recent years. So far, various Fuzzy reasoning methods have been put forward.Because in Fuzzy logic, people of different specific issues for different implication operators, the use of different implication operators, the conclusion is often different, so showing a diversity of Fuzzy-logic. Thirty years, people have proposed a variety of vaguely defined relationships and their combined operation methods, and other ways to improve the CRI algorithm is to be expanded to the main line of CRI Fuzzy reasoning algorithms continue to integrate into new ideas and methods, which in addition to the main line of reasoning CRI algorithm also includes logic reasoning, interval valued reasoning, Fuzzy reasoning algorithm with the parameters of the research.In Fuzzy reasoning, the choice of implication operators has direct effect to the result of the Fuzzy reasoning. In this paper, a new family of operators is defined. The triple I restricted algorithm, triple I supporting algorithm, inverted triple I restricted algorithm and inverted triple I supporting algorithm of the FMP model and FMT model were given to the family of implication operator. It is conduccive to improve reliability of the results of Fuzzy reasoning.The structure and main contents of this paper are as follows:ChapterⅠintroduces the background and current situation of the Fuzzy reasoning.ChapterⅡintroduces the basic contents of Fuzzy reasoning, the basic method used and the principal ideas. It also present the basic concepts such as Fuzzy reasoning triple I theory, implication operators, and some basic properties.ChapterⅢbased on the defacts of Zadeh's CRI algorithms, discusses Fuzzy reasoning triple I theory, defines a new family of implication operator and gives the triple I restricted algorithm, triple I supporting algorithm for the FMP model and FMT model by the family of implication operator.ChapterⅣdefines another new family of implication operator and gives inverted triple I restricted algorithm, inverted triple I supporting algorithm for the FMP model and FMT model by the new family of implication operator.