A Characterization of Convex Fuzzy Mappings
نویسندگان
چکیده
In this paper, a characterization of convex fuzzy mappings is obtained. SupposeF C : ® F is a fuzzy mapping, whereC is a non-empty convex subset ofR andF is the set of all fuzzy numbers. With respect to the fuzzy-max order, F is convex if and only if it is both quasi-convex and intermediate-point convex. In this paper, a characterization of convex fuzzy mappings will be given. Specifically, it will be shown that a fuzzy mapping defined on a non-empty convex subset ofR is convex if and only if it is quasi-convex and intermediatepoint convex. This extends the result by Yang, Teo, and Yang (2000), which provides a characterization of convex real-valued functions.
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ورودعنوان ژورنال:
- IJALR
دوره 1 شماره
صفحات -
تاریخ انتشار 2010