A class of minimal subshifts which display Schweizer-Smital chaos and have zero topotogical entropy is constructed, and it is proved that for a compact system, the positive topological entropy is not generally equival...A class of minimal subshifts which display Schweizer-Smital chaos and have zero topotogical entropy is constructed, and it is proved that for a compact system, the positive topological entropy is not generally equivalent to Schweizer-Smital 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-Smital chaos and have zero topotogical entropy is constructed, and it is proved that for a compact system, the positive topological entropy is not generally equivalent to Schweizer-Smital 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