Semistrictly preinvex fuzzy mappings
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1319-1328 |
| Journal / Publication | International Journal of Computer Mathematics |
| Volume | 81 |
| Issue number | 11 |
| Publication status | Published - Nov 2004 |
Link(s)
Abstract
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.
Research Area(s)
- Convex fuzzy mapping, Fuzzy number, Fuzzy optimization, Invex fuzzy mapping, Preinvex fuzzy mapping, Prequasi-invex fuzzy mapping
Citation Format(s)
Semistrictly preinvex fuzzy mappings. / Mishra, S. K.; Wang, S. Y.; Lai, K. K.
In: International Journal of Computer Mathematics, Vol. 81, No. 11, 11.2004, p. 1319-1328.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
