The Invalidity of Describing Fuzzy Information with Fuzzy Set
It is invalid to describe fuzzy information with fuzzy set.The reason is that regarding the fuzzy membership function that is originally function of two variables in universe and state space as function of one variable in universe and describing fuzzy information with fuzzy set cannot support fuzzy membership conversion.And it causes the fuzzy mathematics that process fuzzy information using fuzzy set conversion to depend on the max-min algorithm that is not mathematical calculation and cannot make mathematical model torealize fuzzy set conversion.The consequence is that the fuzzy mathematics that deviates mathematical calculation cannot provide algorithm support for processing fuzzy information and that large amount of fuzzy information remains to be processed.The only correct approach for fuzzy mathematics to return to mathematics is to restore the fuzzy information to its true face,the classifying data in high dimensional state space and to regard processing fuzzy information as the membership conversion from membership of indicators to objectiv membership.
fuzzy setfuzzy informationfuzzy set conversionmembership conversionnonlinearity
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