On characterizations of preinvex fuzzy mappings

Authors:
Jueyou Li;Muhammad Aslam Noor
Affiliations:
Department of Mathematics and Computer Science, Chongqing Normal University, Chongqing, 400047, PR China;Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 12
Cited 0

Elementary fuzzy calculus

Fuzzy Sets and Systems
Convex fuzzy mappings

Fuzzy Sets and Systems
On fuzzy convexity and parametric fuzzy optimization

Fuzzy Sets and Systems
Fuzzy differential equations

Fuzzy Sets and Systems
Invex and generalized convex fuzzy mappings

Fuzzy Sets and Systems
Generalization of preinvex and B-vex fuzzy mappings

Fuzzy Sets and Systems
A class of convex fuzzy mappings

Fuzzy Sets and Systems
Nonconvex fuzzy mappings and the fuzzy pre-variational inequality

Fuzzy Sets and Systems
Generalized convex fuzzy mappings and fuzzy variational-like inequality

Fuzzy Sets and Systems
Convexity and upper semicontinuity of fuzzy sets

Computers & Mathematics with Applications
Convexity and semicontinuity of fuzzy mappings

Computers & Mathematics with Applications
Towards fuzzy differential calculus part 3: Differentiation

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.09

Visualization

Abstract

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 mapping are provided by using the given equivalent condition of preinvex fuzzy mapping. Finally, a new proof of some known important conclusions is offered. These results generalize and improve some known results.