Abstract. Molodtsov first proposed the soft set theory, which can be utilized as a general mathematical tool for dealing with fuzzy and uncertain information. As a generalization of soft set, intuitionistic fuzzy soft set is another soft set structure, it is a combination of an interval-valued fuzzy set and a soft set. The aim of this paper is to explore the decision making based on interval-valued fuzzy soft sets, the operations are carried out to integrate the medical information and expert information together, the optimcal choice is calculated to choose the disease which the patient most likely to suffer, a numberical example shows that the approach is reasonable..
In this paper, we study the stability of stochastic second-order programming when the probability measure is perturbed. Under the Lipschitz continuity of the objective function and metric regularity of the feasible set-valued mapping, the outer semicontinuity of the optimal solution set and Lipschitz continuity of optimal values are demonstrated. Moreover, we prove that, if the constraint non-degeneracy condition and strong second-order sufficient condition hold at a local minimum point of the original problem, there exists a Lipschitz continuous solution path satisfying the Karush–Kuhn–Tucker conditions.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.