Document Type : Research Paper

Author

Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran.

Abstract

Traditional linearl programming usually handles optimization problems involving deterministic objective functions and/or constrained functions. However, uncertainty also exists in real problems. Hence, many researchers have proposed uncertain optimization methods, such as approaches using fuzzy and stochastic logics, interval numbers, or uncertain variables. However, In practical situations, we often have to handle programming problems involving indeterminate information. The aim of this paper is to put forward two new algorithms, for solving the Single-Valued Neutrosophic linear Problem. A numerical experiments are reported to verify the effectiveness of the new algorithms.

Keywords

Main Subjects

[1] Smarandache, F.(1998). Neutrosophy: Neutrosophic Probability, Set, and Logic; American
[2] Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353.
[3] Atanssov, K. T. (1986). Intuitionistic fuzzy set. Fuzzy Sets and Systems, 20, 87-96.
[4] Ye, J. (2014). Similarity measures between interval neutrosophic sets and their applications     in multicriteria decision-making. Journal of Intelligent & Fuzzy Systems, 26(1), 165-172.
[5] Broumi, S., Smarandache, F., Talea, M., & Bakali, A. (2016). An introduction to bipolar     single valued neutrosophic graph theory. In Applied Mechanics and Materials (Vol. 841, pp. 184-191). Trans Tech Publications.
[6] Ji, P., Wang, J. Q., & Zhang, H. Y. (2018). Frank prioritized Bonferroni mean operator with      single-valued neutrosophic sets and its application in selecting third-party logistics providers. Neural Computing and Applications, 30(3), 799-823.
[7] Peng, H. G., Zhang, H. Y., & Wang, J. Q. (2018). Probability multi-valued neutrosophic sets    and its application in multi-criteria group decision-making problems. Neural Computing and
     Applications, 30(2), 563-583.
[8] Wang, J. Q., Zhang, X., & Zhang, H. Y. (2018). Hotel recommendation approach based on the online consumer reviews using interval neutrosophic linguistic numbers. Journal of
         Intelligent & Fuzzy Systems, 34(1), 381-394.
[9] Kumar, R., Edalatpanah, S. A., Jha, S., & Singh, R. (2019). A novel approach to solve gaussian  valued neutrosophic shortest path problems, International Journal of Engineering and Advanced Technology. 8, 347-353.
[10] Kumar, R., Edalatpanah, S. A., Jha, S., Broumi, S., Singh, R., & Dey, A. (2019). A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems. Neutrosoph Sets Syst, 24, 134-149.
[11] Edalatpanah, S. A. (2018). Neutrosophic perspective on DEA. Journal of Applied Research on Industrial Engineering, 5(4), 339-345.
[12] Edalatpanah, S. A., & Smarandache, F. (2019). Data Envelopment Analysis for Simplified      Neutrosophic Sets. Neutrosophic Sets & Systems, 29.215-226.