TY - JOUR
T1 - Semistrictly preinvex fuzzy mappings
AU - Mishra, S. K.
AU - Wang, S. Y.
AU - Lai, K. K.
PY - 2004/11
Y1 - 2004/11
N2 - In this paper, we introduce the concepts of a strictly preinvex fuzzy mapping, a semistrictly preinvex fuzzy mapping, a strictly prequasi-invex fuzzy mapping and a semistrictly prequasi-invex fuzzy mapping. Some properties of these mappings and relations among them are studied. A few interesting theorems are proved, including that: (1) a strictly prequasi-invex fuzzy mapping has at most one global minimum point; (2) the solution set is invex if the fuzzy mapping is prequasi-invex and (3) prequasi-invex fuzzy mappings satisfy most of the basic properties of the preinvex fuzzy mappings.
AB - In this paper, we introduce the concepts of a strictly preinvex fuzzy mapping, a semistrictly preinvex fuzzy mapping, a strictly prequasi-invex fuzzy mapping and a semistrictly prequasi-invex fuzzy mapping. Some properties of these mappings and relations among them are studied. A few interesting theorems are proved, including that: (1) a strictly prequasi-invex fuzzy mapping has at most one global minimum point; (2) the solution set is invex if the fuzzy mapping is prequasi-invex and (3) prequasi-invex fuzzy mappings satisfy most of the basic properties of the preinvex fuzzy mappings.
KW - Convex fuzzy mapping
KW - Fuzzy number
KW - Fuzzy optimization
KW - Invex fuzzy mapping
KW - Preinvex fuzzy mapping
KW - Prequasi-invex fuzzy mapping
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U2 - 10.1080/00207160412331284079
DO - 10.1080/00207160412331284079
M3 - 21_Publication in refereed journal
VL - 81
SP - 1319
EP - 1328
JO - International Journal of Computer Mathematics
JF - International Journal of Computer Mathematics
SN - 0020-7160
IS - 11
ER -