A class of minimal subshifts which display Schweizer Smítal chaos and have zero topological entropy is constructed, and it is proved that for a compact system, the positive topological entropy is not generally eq...A class of minimal subshifts which display Schweizer Smítal chaos and have zero topological entropy is constructed, and it is proved that for a compact system, the positive topological entropy is not generally equivalent to Schweizer Smítal chaos occurring on the measure centre.展开更多
1 INTRODUCTIONIt is well known that much information obtained from biological system is semi-quantitative and linguistic.Experience is a very important source of information,butit is rather subjective,for example,“if...1 INTRODUCTIONIt is well known that much information obtained from biological system is semi-quantitative and linguistic.Experience is a very important source of information,butit is rather subjective,for example,“if the dilution rate is low and growth rate is me-dium then the specific yield is medium”.It is seldom possible to treat this kind ofinformation by using conventional mathematics.Fuzzy set theory can allow effectiveuse of the semi-quantitative and linguistic information. The main application area of fuzzy set theory seems to be modeling of fuzzy rea-soning expressed in natural language,such as the example illustrated above.Zadeh展开更多
基金Supported by the National Foundation of Natural Sciences of China(Grant No:60663002)the Grant Project of science and technology of The Education Department of Jiangxi Province(Grant No:200618)
文摘A class of minimal subshifts which display Schweizer Smítal chaos and have zero topological entropy is constructed, and it is proved that for a compact system, the positive topological entropy is not generally equivalent to Schweizer Smítal chaos occurring on the measure centre.
文摘1 INTRODUCTIONIt is well known that much information obtained from biological system is semi-quantitative and linguistic.Experience is a very important source of information,butit is rather subjective,for example,“if the dilution rate is low and growth rate is me-dium then the specific yield is medium”.It is seldom possible to treat this kind ofinformation by using conventional mathematics.Fuzzy set theory can allow effectiveuse of the semi-quantitative and linguistic information. The main application area of fuzzy set theory seems to be modeling of fuzzy rea-soning expressed in natural language,such as the example illustrated above.Zadeh