We consider an interval-valued multiobjective problem. Some necessary and sufficient optimality conditions for weak efficient solutions are established under new generalized convexities with the tool-right upper-Dini-derivative, which is an extension of directional derivative. Also some duality results are proved for Wolfe and Mond-Weir duals.

A new notion of higher-order weakly generalized adjacent epiderivative for a set-valued map is introduced. By virtue of the epiderivative and weak minimality, a higher-order Mond-Weir type dual problem and a higher-order Wolfe type dual problem are introduced for a constrained setvalued optimization problem, respectively. Then, corresponding weak duality, strong duality and converse duality the...

A class of second order (F,a,q,d)-convex functions and their generalizations is introduced. Using the assumptions on the functions involved, weak, strong and strict converse duality theorems are established for a second order Mond–Weir type multiobtive dual. 2005 Elsevier Inc. All rights reserved.

In this paper, new classes of generalized (F,α,ρ, d)-V -type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established. Weak, strong and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs.

We show that the class of level-k control languages, as defined by Weir, is properly included in the class of 2k−1-multiple context-free languages for each k ≥ 2. The proof of inclusion uses a representation of the set of derivation trees for a level-k control language in terms of a second-order abstract categorial grammar.

Side weir is a type of weirs that used extensively in a variety ofengineering projects such as river engineering, dam,waste water , Irrigation and drainage network. So the study on the flow characteristics on the type weir, is one of the mostimportant topics in hydraulic engineering. The spatially varied flow (S.V.F)with discharge decreasing is governing equation to this type weir.Study on the ...

Recently, many research studies have focused on labyrinth weirs' hydraulic performance, especially as dependent engineering features. In the current study, properties of flow over triangular weirs models (from upper perspective) with sharp crest been experimentally studied and compare their efficiency suppressed rectangular (conventional weirs). Twelve fiberglass are developed for this reason t...

FALCO, S.; HERMOSILLA, Z.; ROMERO, I.; MARTÍNEZ, R.; SIERRA, J.P.; MÖSSO, C., and MESTRES, M., 2007. Spatial and temporal patterns of water quality in Cullera Bay. Journal of Coastal Research, S1(47), 40–47. West Palm Beach (Florida), ISSN 0749-0208. The Júcar River, characterized by a very irregular freshwater flow, discharges into the Spanish Mediterranean coastal waters. However, the flow at...