Study on Stochastic Multiobjective Optimization Problems

This book introduces an efficient approach for treating Stochastic Multiobjective Programming Problem (SMP) through the probability maximization model, we introduced stochastic goals to consider the ambiguous judgments of the DM and proposed an interactive stochastic approach based on reference point satisficing method as a fusion of stochastic approaches and deterministic ones to derive a satisficing solution for the DM from the efficient solutions obtained. Also, this book introduces an optimization approach for solving Fuzzy Multiobjective Linear Programming Problem (FMOLP) problems with fuzzy goals in objective functions and constraints. This approach is based on the improvement of a compromise model for solving FMOLP by improving the objectives by altering their membership functions using the principle of the ARP Method, which guarantee the feasibility. This book presents a comparative study between the stochastic approach and the fuzzy approach for treating single and multiobjective objective linear/nonlinear programming problems.

Taghreed A. Hassanin received the B.Sc. degree in electrical engineering from Menoufia University, Shebin El-Kom, Egypt, in 2000, M.Sc. and Ph.D degrees in engineering mathematics from Menoufia university, in 2007 and 2010, respectively. She is currently a Lecturer in the Basic Engineering Sciences, Faculty of Engineering, Menoufia university.