Concepts of generalized concavity based on aggregation functions

In the present paper, the quasiconcavity of membership functions is generalized based on conjunctive aggregation functions, and the properties of the generalized quasiconcavity are investigated. Fuzzy multicriteria and scalar programming problems are then considered, and the properties of Pareto optimal solutions and compromise solutions as well as their relationships are derived. Finally, we discuss the application of the obtained results to facility location problems.