Convexity and semicontinuity of fuzzy mappings

Convexity and semicontinuity of fuzzy mappings

In this paper, a criterion for the convex fuzzy mapping is obtained under the condition of upper and lower semicontinuity, respectively. An upper (lower) semicontinuous fuzzy mapping is proved, which convexity is equivalent to weak convexity or B-vexity satisfying a special condition.

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Veröffentlicht in:Computers & mathematics with applications (1987) 2006-06, Vol.51 (12), p.1809-1816
Hauptverfasser: Bao, Yu-E., Wu, Cong-Xin
Format: Artikel
Sprache:eng
Schlagworte:
B-vexity
Convexity
Fuzzy mapping
Upper (lower) semicontinuity
Weak convexity
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Zusammenfassung:In this paper, a criterion for the convex fuzzy mapping is obtained under the condition of upper and lower semicontinuity, respectively. An upper (lower) semicontinuous fuzzy mapping is proved, which convexity is equivalent to weak convexity or B-vexity satisfying a special condition.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2006.01.009