Abstract

Introduction. Management of enterprises and organizations with the help of projects is a modern approach in management, which allows modern enterprises to develop effectively. As a result of the project activity of the enterprise, one of the main stages is the evaluation and selection of the best projects available. Aim. Description of mathematical models and methods of their implementation to obtain integral estimates of the attractiveness of projects. Materials and methods. The paper describes the methods of projects multi-criteria evaluation. The traditional additive method, which is widely used in assessing the attractiveness of projects, is considered. Two original methods are presented as an alternative to the additive method. One is based on the theories of latent variables, the other is based on the theory of fuzzy sets. The method of evaluating the attractiveness of projects, based on the theory of fuzzy sets, is used when it is impossible to evaluate projects by criteria using natural scales. The set of projects from the point of view of the attractiveness of projects for each criterion is considered as a fuzzy set with a given membership function. Results. The technique of obtaining estimates, the analysis of the properties of estimates. It is shown that the method based on the theory of latent variables has a number of advantages over the additive method: the linearity of the estimates obtained, their independence from the set of projects and a set of criteria. A technique for obtaining a numerical solution of the optimization problem required when using a method based on the theory of latent variables is presented. Computational experiments were carried out, which showed that the method based on the theory of latent variables gives adequate estimates of the attractiveness of projects. For the practical implementation of the methods, an example of the organization of calculations in MS Excel. Conclusion. The proposed methods will allow for a more objective assessment and selection of projects, allowing economic entities to develop effectively.

Highlights

  • Management of enterprises and organizations with the help of projects is a modern approach in management, which allows modern enterprises to develop effectively

  • The traditional additive method, which is widely used in assessing the attractiveness of projects, is considered

  • One is based on the theories of latent variables, the other is based on the theory of fuzzy sets

Read more

Summary

МАТЕМАТИЧЕСКИЕ МЕТОДЫ МНОГОКРИТЕРИАЛЬНОГО ОЦЕНИВАНИЯ ПРИВЛЕКАТЕЛЬНОСТИ ПРОЕКТОВ

Управление предприятиями и организациями при помощи проектов – это современный подход в менеджменте, который позволит современным предприятиям эффективно развиваться. Описание математических моделей и способов их реализации для получения интегральных оценок привлекательности проектов. Основанный на теории нечетких множеств, применяется при невозможности оценить проекты по критериям, использующим натуральные шкалы. Что метод, основанный на теории латентных переменных, имеет ряд преимуществ перед аддитивным методом: линейность полученных оценок, их независимость от множества проектов и набора критериев. Введение Управление предприятиями и организациями при помощи проектов – это современный подход в менеджменте, который позволит современным предприятиям эффективно развиваться. Целью данной работы является описание математических моделей и способов их реализации для получения интегральных оценок привлекательности проектов, а именно, традиционного метода оценивания и двух оригинальных, основанных на математическом аппарате теории латентных переменных, и теории нечетких множеств.

Математическая модель получения интегральных оценок по аддитивному методу
Private project evaluations by example criteria
Проект Аддитивный метод МЛП
Introduction
ОБРАЗЕЦ ЦИТИРОВАНИЯ
FOR CITATION

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.