Fuzzy Rough Network Problems
Keywords:
A triangular fuzzy rough numbers, Shortest path, Fuzzy rough shortest distanceAbstract
In conventional network problems, it is assumed that decision maker is certain about the parameters (distance, time, …) between different nodes. But in real life situations, there always exist uncertainty about the parameters between different nodes. In this paper, we present algorithm for solving the fuzzy rough network problem, in this problem all parameters between different nodes are presented by triangular fuzzy rough numbers. By using the proposed algorithm a decision maker can obtain the optimal shortest path and optimal fuzzy rough shortest distance between source node and destination node. To illustrate algorithm a numerical example is solved and the obtained results are discussed
References
L.A. Zadeh, ''Fuzzy sets as a basis for a theory of possibility '', Fuzzy sets and system, vol, 1, pp. 3-28, 1978.
M. Takahashi, A. Yamakami ,'' On fuzzy shortest path problems with fuzzy parameters, Fuzzy Information Processing Society, 654-657, 2005.
S. M. Nayeem, M. Pal, ''Shortest path problem on a network with imprecise edge weight'', Fuzzy Optimization and Decision Making, vol. 4, pp. 293-312, 2005.
A. Tajdin, N. Amiri and B. Gildeh, ''A Novel Approach for Finding a Shortest Path in a Mixed Fuzzy Network'', Wireless Sensor Network, vol. 2, pp. 148-160, 2010.
A. Kumar, M. Kaur, '' A new algorithm for solving network flow problems with fuzzy arc lengths'', Turkish journal of fuzzy systems, vol. 2, pp. 1-13, 2011.
N. Shankar, V. Sireesha and P. Rao,'' An Analytical Method for Finding Critical Path in a Fuzzy Project Network '', Int. J. Contemp. Math. Sciences, vol. 5, pp. 953-962, 2010
S. Yakhchali, S. H. Ghodsypour,'' Computing latest starting times of activities in interval-valued networks with minimal time lags'', European Journal of Operational Research, Vol. 200, pp. 874-880. 2010.
A. Hamzehee, M. Yaghoobi and M. Mashinchi, ''linear programming with rough interval coefficients'', Journal of intelligent and fuzzy systems, vol. 26, pp. 1179-1189, 2014.
E. Ammar, M. Muamer,'' Solving a rough interval linear fractional programming problem'', Journal of Advances in Mathematics, vol.10, pp. 3374-3380, 2015.
E. Ammar, M. Muamer, "Algorithm for solving multi objective linear fractional programming problem with fuzzy rough coefficients", Open Science Journal of Mathematics and Application, vol. 4(1), pp. 1-8, 2016.
H. Lu, G. Huang and L. He,'' An inexact rough interval fuzzy linear programming method for generating conjunctive water'', Applied mathematics modelling, vol. 35, pp. 4330-4340, 2011
R. Nagarajan, A. Solairaju, ''Applied Robust ranking technique for solving assignment problems with fuzzy costs'', International Journal of Computer Applications, vol. 6. PP. 0975-8887, 2010.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Mohamed Muamer، Abdusalam Emsimir
This work is licensed under a Creative Commons Attribution 4.0 International License.
