ON SOLVING NEUTROSOPHIC LINEAR COMPLEMENTARITY PROBLEM
DOI:
https://doi.org/10.48165/Keywords:
Linear complementarity problem, Neutrosophic Set, Single Valued Trapezoidal Neutrosophic Numbers, Lemke’s AlgorithmAbstract
The aim of this paper is to propose a methodology for solving Linear Complementarity Problem with Single Valued Trapezoidal Neutrosophic Numbers (SVTN). The effectiveness of the proposed method is illustrated by means of a numerical example. This problem finds many applications in several areas of science, engineering and economics.
References
. Nagoorgani, A. and Hepzibah, R. Irene (2007). Multi-objective fuzzy linear programming problems with interval numbers, Bulletin of Pure and Applied Sciences, 26E (2), 51-56.
. Richard W. Cottle , George B. Dantzig (1986), Complementary pivot theory of mathematical programming, Linear Algebra and its Applications, 0024-3795(68)90052-9/103-125
. Subas, Deli Y. (2017). A ranking method of single valued neutrosophic numbers and its applications to multi-attribute decision making problems, International Journal of Machine Learning and Cybernetics , Volume 8(4), 1309–1322
. Ye, J. (2013). Multi criteria decision making method using the correlation coefficient under single valued neutrosophic environment, International Journal of General Systems, 386-394. [5]. Ye, J. (2015). Trapezoidal fuzzy neutrosophic set and its application to multiple attribute decision making, Soft Computing. Neural Comp. Appl., 1157-1166.
. Wang, Jian-qiang and Wang, Jing (2016). Simplified Neutrosophic sets and their applications in Multi Criteria group decision-Making problems, International Journal of Systems Science, Vol. 47(10), 2342–2358.
. Peng, Juan and Wang, Jian-qiang (2015). Multi valued Neutrosophic sets and power Aggregation operators with their applications in Multi-Criteria Group decision making problems, International Journal of Computational Intelligence Systems, 345-363.
. Murthy, Katta G. (1997). Linear Complementarity, Linear and Nonlinear Programming, Internet Edition, http://www.personal.engin.umich.edu/~murty,(1997), 254-273.
. Bellman, R.E. and Zadeh, L.A. (1970). Decision making in a fuzzy environment, Management Science, 17, 141-164.
. Hepzibah, Irene R. and Vidhya, R. (2017). Neutrosophic Multi Objective Linear Programming Problem, Global Journal of Pure and Applied Mathematics, 265 -280.
. Porchelvi, Sophia R. and Umamaheswari, M. (2018). A study on Intuitionistic Fuzzy Multi Objective LPP into LCP with Neutrosophic Triangular Numbers Approach, Journal of Applied Science and Computations, (2018), 570-576.