Uncertain Multiobjective Programming and Uncertain Goal Programming

Abstract

Multiobjective programming, known as multi-criteria or multi-attribute optimization, is the process of simultaneously optimizing two or more conflicting objectives. This paper aims to provide a new multiobjective programming named uncertain multiobjective programming that is a type of multiobjective programming involving uncertain variables. Some mathematical properties are also explored. Besides, uncertain goal programming is introduced as a compromise method for solving the uncertain multiobjective programming models. Both the uncertain multiobjective programming model and the uncertain goal programming model are transformed to crisp programming models with the help of the operational law of uncertain variables via inverse uncertainty distributions.

Determination of Target Values of Engineering Characteristics in QFD Using Uncertain Programming

“…Recently, uncertain multi-objective programming and uncertain goal programming are generated by Liu and Chen [32] to apply in more research works. This paper used expected value modelling approach of uncertain programming, assuming that a set of {x 1 , x 2 , · · · , x n } for ECs of a product are needed to be determined during the course of product planning, which aims to maximize the overall customer satisfaction under the organizational resources limits, it seems adoptable to generalize such an uncertain programming model for QFD as follows, subject to:…”

Repairable item inventory model optimization with uncertainty theory

“…Then Liu and Yao [13] further studied uncertain multilevel programming, and Liu and Chen [14] further studied uncertain multi-objective programming. As an application of uncertain programming, Gao [15] proposed a facility allocation problem on a network.…”

Uncertain Quadratic Programming with Recourse and its Approximation Methods

“…Then, Liu and Chen [12] discussed goal programming and multi-objective programming that involve uncertain parameters. After that, Liu and Yao [13] presented multi-level programming involving uncertain parameters to model decentralized decision systems under uncertainty.…”