In this paper, we mainly introduced the invexity and generalized invexity of n-dimensional fuzzy number-valued functions based on the new ordering which defined by Gong and Hai in [9]. Simultaneously, we discussed the relationship between semicontinuous and preinvex fuzzy number-valued functions, and some properties among invexity and generalized invexity of n-dimensional fuzzy number-valued functions. Finally, we studied the necessary and sufficient conditions for weakly efficient point of fuzzy optimization.
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