1
Faculty of Science, Damascus University, Damascus, Syria
(maissam.jdid66@damascusuniversity.edu.sy)
Abstract :
The essence of operations research is focused on creating and using models. The first step is to create the model, which requires a set of data that is determined from the aspects of the real system that the model must represent. The model is an acceptable model if it achieves the purpose for which it was formulated, and since programming issues linearity is concerned with allocating scarce resources, including labor, machinery, and capital, and using them in the best possible way, such that costs are reduced to a minimum or profits are maximized, by choosing the optimal decision from several available options. Since linear models are used in many fields, it was necessary to prepare studies that meet the needs of decision makers who have made solutions to linear programming problems a safe haven for them. The duality theory is considered one of the most important linear programming theories because it is used in many fields and is relied upon in the economic interpretation of the content of linear models. It provides a comprehensive study of the system represented by the linear model and its dual model. In this research, we present a study of the theory of neutrosophic dual and its economic interpretation by presenting a set of theorems that can be relied upon in explaining the results of solving both the original neutrosophic models and their dual.
Keywords :
Neutrosophic science; Linear models; Neutrosophic Duality theory; Economic interpretation of the dual model; Applications of duality theory.
References :
[1] Florentin Smarandache, Maissam Jdid, On Overview of Neutrosophic and Plithogenic Theories and Applications, Applied Mathematics and Data Analysis, Vo .2, No .1, 2023
[2] Mohammed Alshikho, Maissam Jdid, Said Broumi, Artificial Intelligence and Neutrosophic Machine learning in the Diagnosis and Detection of COVID 19, Journal Prospects for Applied Mathematics and Data Analysis, Vol 01, No,02 USA,2023
[3] Madeleine Al- Tahan, Some Results on Single Valued Neutrosophic (Weak) Polygroups, International Journal of Neutrosophic Science, Volume 2, Issue 1, 2020.
[4] Florentin Smarandache, Victor Christianto A few little steps beyond Knuth’s Boolean Logic Table with Neutrosophic Logic: A Paradigm Shift in Uncertain Computation, Vol 2, No 2, 2023
[5] Maissam Jdid, Florentin Smarandache, Neutrosophic Treatment of Duality Linear Models and the Binary Simplex Algorithm, Applied Mathematics and Data Analysis, Vo .2, No .2, 2023
[6] Maissam Jdid, Florentin Smarandache, Neutrosophic Treatment of the Modified Simplex Algorithm to find the Optimal Solution for Linear Models, International Journal of Neutrosophic Science (IJNS), Vol. 23, No.1,2023
[7] Sumyyah Al-Hijjawi, Abd Ghafur Ahmad, Shawkat Alkhazaleh, Effective Neutrosophic Soft Expert Set and Its Application, International Journal of Neutrosophic Science (IJNS), Vol. 23, No.1,2023
[8] Maissam Jdid, Florentin Smarandache, The Use of Neutrosophic Methods of Operation Research in the Management of Corporate Work, Journal of Neutrosophic Systems with Applications, Vol. 3, 2023
[9] Maissam Jdid, Said Broumi, Neutrosophic Rejection and Acceptance Method for the Generation of Random Variables, Neutrosophic Sets and Systems, NSS, Vol.56,2023
[10] Maissam Jdid, Florentin Smarandache, Optimal Agricultural Land Use: An Efficient Neutrosophic Linear Programming Method, Journal of Neutrosophic Systems with Applications, Vol. 10, 2023
[11] Alaa. M. F. AL. Jumaili, Other Certain Classes of Generalized Neutrosophic Soft Separation Structures, International Journal of Neutrosophic Science (IJNS), Vol. 22, No.1,2023
[12] Maissam Jdid, Florentin Smarandache, The Graphical Method for Finding the Optimal Solution for Neutrosophic linear Models and Taking Advantage of Non-Negativity Constraints to Find the Optimal Solution for Some Neutrosophic linear Models in Which the Number of Unknowns is More than Three, Journal Neutrosophic Sets and Systems, NSS Vol.58,2023
[13] Maissam Jdid, Nada A Nabeeh Generating Random Variables that follow the Beta Distribution Using the Neutrosophic Acceptance-Rejection Method *1, Journal Neutrosophic Sets and Systems, NSS Vol.58,2023
[14] Maissam Jdid, Studying Transport Models with the Shortest Time According to the Neutrosophic Logic, Journal Neutrosophic Sets and Systems, NSS Vol.58,2023
[15] Maissam Jdid, NEUTROSOPHIC TRANSPORT AND ASSIGNMENT ISSUES, Publisher: Global Knowledge’s: 978_1 _59973_770_6, (Arabic version).
[16] Al Hamid. Mohammed Dabbas, Mathematical programming, Aleppo University, Syria, 2010. (Arabic version).
[17] Bukajah J.S., Mualla, W... and others - Operations Research Book translated into Arabic - The Arab Center for Arabization, Translation, Authoring and Publishing -Damascus -1998. (Arabic version).
[18] Alali. Ibrahim Muhammad, Operations Research. Tishreen University Publications, 2004. (Arabic version)
[19] Maissam Jdid, Operations Research, Published in ASPU, faculty of Information Technology, 2021.
| Style | # |
|---|---|
| MLA | Maissam Jdid. "Some Important Theories about Duality and the Economic Interpretation of Neutrosophic Linear Models and Their Dual Models." Prospects for Applied Mathematics and Data Analysis, Vol. 2, No. 2, 2023 ,PP. 27-33 (Doi : https://doi.org/10.54216/PAMDA.020203) |
| APA | Maissam Jdid. (2023). Some Important Theories about Duality and the Economic Interpretation of Neutrosophic Linear Models and Their Dual Models. Journal of Prospects for Applied Mathematics and Data Analysis, 2 ( 2 ), 27-33 (Doi : https://doi.org/10.54216/PAMDA.020203) |
| Chicago | Maissam Jdid. "Some Important Theories about Duality and the Economic Interpretation of Neutrosophic Linear Models and Their Dual Models." Journal of Prospects for Applied Mathematics and Data Analysis, 2 no. 2 (2023): 27-33 (Doi : https://doi.org/10.54216/PAMDA.020203) |
| Harvard | Maissam Jdid. (2023). Some Important Theories about Duality and the Economic Interpretation of Neutrosophic Linear Models and Their Dual Models. Journal of Prospects for Applied Mathematics and Data Analysis, 2 ( 2 ), 27-33 (Doi : https://doi.org/10.54216/PAMDA.020203) |
| Vancouver | Maissam Jdid. Some Important Theories about Duality and the Economic Interpretation of Neutrosophic Linear Models and Their Dual Models. Journal of Prospects for Applied Mathematics and Data Analysis, (2023); 2 ( 2 ): 27-33 (Doi : https://doi.org/10.54216/PAMDA.020203) |
| IEEE | Maissam Jdid, Some Important Theories about Duality and the Economic Interpretation of Neutrosophic Linear Models and Their Dual Models, Journal of Prospects for Applied Mathematics and Data Analysis, Vol. 2 , No. 2 , (2023) : 27-33 (Doi : https://doi.org/10.54216/PAMDA.020203) |