Linear Fractional Programming Based on Trapezoidal Neutrosophic Numbers

Authors

A. M. ElHadidi, Engineering Mathematics and Physics Department, Faculty of Engineering, Future University in Egypt, Cairo, EgyptFollow
O. E. Emam, Information Systems Department, Faculty of Computers and Artificial Intelligence, Helwan University, Cairo, EgyptFollow
A. M. Abdelfadel, Mathematics Department, Faculty of Science, Suez Canal University, Ismailia 41522, EgyptFollow
Mansour Lotayif, College of Administrative Sciences, Applied Science University, P.O. Box 5055, East Al-Ekir, Kingdom of BahrainFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, we introduce a new solution technique for resolving the neutrosophic linear fractional programming problem, where the objective function’s coefficients are neutrosophic trapezoidal-numbers. We convert the problem into a crisp multi-objective linear fractional programming. The transformed multi-objective linear fractional programming problem is reduced to a single-objective linear programming problem (LP) by using the proposed approach, which can be easily solved by suitable algorithm. A numerical example is given to verify the proposed method.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150505

Recommended Citation

M. ElHadidi, A.; E. Emam, O.; M. Abdelfadel, A.; and Lotayif, Mansour (2021) "Linear Fractional Programming Based on Trapezoidal Neutrosophic Numbers," Applied Mathematics & Information Sciences: Vol. 15: Iss. 5, Article 5.
DOI: http://dx.doi.org/10.18576/amis/150505
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss5/5