Several characterizations about preinvex fuzzy mapping are obtained in this paper. Firstly, an equivalent condition of preinvex fuzzy mapping is established under certain conditions. Furthermore, the necessary and sufficient conditions for differentiable and twice differentiable preinvex fuzzy mappi
Preinvex fuzzy mappings
โ Scribed by Yu-Ru Syau
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 468 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
In this paper, we introduce the concepts of preinvex fuzzy mappings, quasi-preinvex fuzzy mappings, and invex sets by modifying the concepts proposed by Noor. We also give two characterization theorems for preinvex fuzzy mappings, and present some new results for preinvex fuzzy mappings, strictly preinvex fuzzy mappings, and quasi-preinvex fuzzy mappings. (~) 1999 Elsevier Science Ltd. All rights reserved.
๐ SIMILAR VOLUMES
In this paper, we extend the class of E-convex, semi-E-convex, E-preinvex functions in n-dimensional spaces introduced by Youness (1999) [10], respectively by Syau and Lee (2005) [14], Chen (2002) [12], Fulga and Preda (2009) [15] to semi-E-preinvex maps in Banach spaces. Some properties of these cl