Exchangeability of expectation, differential and support function
نویسندگان
چکیده
There exists a vast literature about the di erentiabil ity of fuzzy valued mappings see for instance Dubois and Prade Puri and Ralescu Goetschel and Voxman or Kaleva One of the main problems in working with di erentials of fuzzy valued mappings is that the usual class of fuzzy sets of R does not con gure a vectorial space with respect to the sum and the product by a scalar induced by Zadeh s Extension Principle Due to this problem it becomes some times useful to embed that class of fuzzy sets into a normed space in order to de ne a classical Fr echet type di erential This tool has been used in Puri and Ralescu and recently in Rojas Medar et al to embed special classes of fuzzy sets into the space of continuous functions from S to R
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