The purpose of this paper is to develop a new two-stage method for fuzzy multi-objective linear program and apply to engineering project portfolio selection. In the fuzzy multi-objective linear program, all the objective coefficients, technological coefficients and resources are trapezoidal fuzzy numbers (TrFNs). An order relationship for TrFNs is introduced by using the interval expectation of...

Definition 1.1. Let K be a field. (V,+, ·) is a vector space over K, if (V,+) is an Abelian group, and · : K × V → V (called scalar multiplication) is distributive, associative and multiplication by 1 is the identity on V . This compact definition unwinds to give us the following ten(!) axioms: (1) + : V × V → V (2) u+ (v + w) = (u+ v) + w. (3) u+ v = v + u. (4) ∃0 ∈ V such that v + 0 = 0 + v =...