Abstract:In this paper, a novel approach combining fuzzy data envelopment analysis (DEA) and the analytical hierarchical process (AHP) is proposed to rank units with multiple fuzzy criteria. The hybrid fuzzy DEA/AHP approach derives the AHP pairwise comparisons by fuzzy DEA and utilizes AHP to fully rank units. It shows that the proposed approach generates a logical ranking of units that has perfect compatibility with fuzzy DEA ranking and there is no any form of subjective analysis engaged within the methodology. A study on the facility layout design in manufacturing systems is provided to illustrate the superiority of the proposed approach and show the compatibility between the proposed approach and fuzzy DEA ranking.
This paper deals with the variational inequalities in a fuzzy environment. It shows that solving the fuzzy variational inequalities is equivalent to solving a fuzzy generalized complementarity problem. By using the tolerance approach, we show that the fuzzy generalized complementarity problem can be converted to a regular unconstrained nonlinear programming problem. An entropic regularization technique is then applied to solve the resulting optimization problem. Some computational results are included. ᮊ
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.