کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1709763 | 1012863 | 2008 | 4 صفحه PDF | دانلود رایگان |
The concept of upper and lower semicontinuity of fuzzy mappings introduced by Bao and Wu [Y.E. Bao, C.X. Wu, Convexity and semicontinuity of fuzzy mappings, Comput. Math. Appl., 51 (2006) 1809–1816] is redefined by using the concept of parameterized triples of fuzzy numbers. On the basis of the linear ordering of fuzzy numbers proposed by Goetschel and Voxman [R. Goetschel, W. Voxman, Elementary fuzzy calculus, Fuzzy Sets and Systems 18], we prove that an upper semicontinuous fuzzy mapping attains a maximum (with respect to this linear ordering) on a nonempty closed and bounded subset of the nn-dimensional Euclidean space RnRn, and that a lower semicontinuous fuzzy mapping attains a minimum (with respect to this linear ordering) on a nonempty closed and bounded subset of RnRn.
Journal: Applied Mathematics Letters - Volume 21, Issue 8, August 2008, Pages 824–827