a fully fuzzy linear programming (fflp) formulation for the reservoir operation of amultipurpose reservoir in presented in the ongoing paper. in the real world, water resourcessystems usually have complexities among social, economic, natural resources andenvironmental aspects, which lead to multi-objective problems of significant uncertainties insystem parameters, objectives and in their intera...

Models of linear programming problems with fuzzy constraints are very well known in the current literature. In almost all cases, to solve these problems, linear membership functions are used because they have very good properties and are very easy to manipulate. In some cases, however, because of the knowledge that the decision maker has, such membership functions could be modeled as nonlinear,...

H. A. Khalifa Department of Operations Research, Institute of Statistical Studies and Research, Cairo University, Cairo, Egypt. Abstract Linear programming (LP) has been widely applied to solving real world problems. The conventional LP model requires the parameters to be known constants. In the real world, however, the parameters are seldom known exactly and have to be estimated. This paper de...

In this paper, we study how changes in the coefficients of objective function, the coefficients matrix and the right-hand-side vector of constraints of the fuzzy linear programming problems with the fuzzy order relation in the objective function and the constraints under ranking function affect the fuzzy optimal solution. We consider separate cases when changes occur in the data of the problem ...

In the real situations, decision makers are often faced to a plurality of objectives and constraints in a world of imprecise data about the preferences of agents, the local constraints and the global environment. In a fuzzy environment, fuzzy linear programming (FLP) and fuzzy goal programming (FGP) problems incorporate fuzzy objective functions and constraints, fuzzy parameters and variable se...

Linear bilevel programming is a decision making problem with a two-level decentralized organization. The leader is in the upper level and the follower, in the lower level. This study addresses linear bilevel multi-objective multi-follower programming (LB-MOMFP) problem, a special case of linear bilevel programming problems with one leader and multiple followers where each decision maker has sev...