A Model of Genetic Fuzzy Multi-Objectives Mathematical Programming for Optimizing of Research Projects Portfolio Selection

Evaluation and selection of research projects are two important activities in decision making process of research and expertise panels and councils. They involved in participating a group of experts and decision-makers to evaluate the research projects with considering a set of criteria, then selecting a set of projects which better meet anorganizations'' objectives. On the one hand, research projects evaluation needs experts and decision-makers'' judgments. In many situations, experts and decision-makers have vague and uncertain knowledge about subjects and things, so they can not express themwith number values. In such situations, a realistic approach is linguistic one. According to this approach, experts can express their judgments and preferences by linguistic terms. Fuzzy set theory provides the requirement flexibility for representing uncertainty ariseof subjectivity of humans and their uncertain and vague knowledge. On the other hand, research projects portfolio selection involve using optimization models and techniques which meet multiple objectives of organization without exceeding available resources or violating other constraints. In this article, we have designed a model of mathematical programming based on integrating fuzzy set theory and Genetic algorithm optimization technique.