Patent
1991-12-30
1994-04-19
MacDonald, Allen R.
395 76, 395900, G06F 944, G05B 1302
Patent
active
053054253
DESCRIPTION:
BRIEF SUMMARY
TECHNICAL FIELD
The present invention relates to a method of and an apparatus for evaluating membership functions or rules in a fuzzy reasoning system or for a fuzzy reasoning system.
BACKGROUND ART
Apparatuses are being developed for conducting a fuzzy reasoning and having various names such as a fuzzy controller, a fuzzy computer, and fuzzy inference operation apparatus. Most of these apparatuses execute a fuzzy reasoning in accordance with modus ponens fuzzy reasoning rules, which are so-called If, then rules.
In applications of the fuzzy reasoning system, it is quite important to appropriately establish kinds of input variables to be detected from a control object, kinds and contours of membership functions, reasoning rules, etc. These various parameters for the fuzzy reasoning are determined in many cases in consideration of experiences of experts or experienced workers, accumulation of know-how, and the like. However, even when the accumulation of the knowledge in the past is taken into consideration, problems may occur, such that some input variables and rules are not fully utilized, an optimal control cannot be accomplished because of inappropriateness of rules and membership functions, and so on. In consequence, essential matters for improvement of a fuzzy reasoning control also include observating, analyzing and evaluating roles in a fuzzy reasoning of the input variables, membership functions and rules once established and mutual relationships of a plurality of rules.
However, the research of the fuzzy reasoning applications has just been started and there has not been accomplished a satisfactory research thereof in the present situation.
DISCLOSURE OF THE INVENTION
The present invention has an object to provide a method of and an apparatus for evaluating appropriateness of membership functions established.
Moreover, the present invention has an object to provide a method of and an apparatus for evaluating appropriateness of fuzzy inference rules established.
An apparatus for evaluating membership functions or rules in a fuzzy reasoning system in accordance with the present invention is characterized by comprising means provided with a plurality of membership functions established for each of input variables of at least two kinds and a plurality of membership functions established for output variables of at least one kind for executing in response to an input value a fuzzy reasoning based on predetermined rules beforehand established, arithmetic means for computing, in an execution process of a fuzzy reasoning by the fuzzy reasoning execution means, a feature related to a fuzzy reasoning for an evaluation of a membership function or a rule, and means for outputting the computed feature.
A method of evaluating membership functions or rules in the fuzzy reasoning system in accordance with the present invention which keeps a plurality of membership functions established for each of input variables of at least two kinds and a plurality of membership functions established for output variables of at least one kind and which is responsive to an input value to execute a fuzzy reasoning based on predetermined rules beforehand established, is characterized by comprising computing, in an execution process of a fuzzy reasoning, a feature related to a fuzzy reasoning for an evaluation of a membership function or a rule and outputting the computed feature.
In accordance with a first mode of the present invention, in response to an input value supplied, a membership function related to the input value is retrieved, a conformity grade of the input value is computed for the retrieved membership function, and the input value, the membership function and the conformity grade are displayed in a format in which these items are related to each other.
In accordance with the first mode, since the input value, the membership function related thereto, and the conformity grade of the input value for the membership function are displayed in a form in which these items are related to each other, the appropriateness o
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Chiu et al., "Real-Time Fuzzy Control: From Linguistic Rules to Implementation on a Chip", Proc. 2nd Intl. Symp. Methodologies for Intelligent Systems, Oct. 1987, 17-24.
Kaneko et al., "Expert System for Investment Based on Fuzzy Reasoning", Jour. Info. Processing Society of Japan, Aug. 1989, 963-969.
Endo et al., "Fuzzy Expert System Building Shell", Jour. Info. Processing Society of Japan, Aug. 1989, 948-956.
Togai InfraLogic, Inc., The Fuzzy Source, vol. 1 Iss. 1, Summer 1991.
Ishida Tsutomu
Matsunaga Nobutomo
Shoji Kazuaki
Tsuchiya Nobuo
Doans Robert W.
MacDonald Allen R.
Omron Corporation
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