A time variant multi-objective particle swarm optimization algorithm for solving fuzzy number linear programming problems using modified Kerre’s method
作者： Reza Ghanbari , Khatere Ghorbani-Moghadam , Nezam Mahdavi-Amiri
DOI: 10.1007/S12597-020-00482-5
关键词:
摘要: Recently, Ghanbari et al. (IEEE Transactions on Fuzzy Systems 27:1286–1294, 2019) have proposed modified Kerre’s method for comparison of LR fuzzy numbers. Here, we make use the to solve linear programming problems with coefficients. In an approach a program coefficients, bi-objective optimization problem is formulated. For associated problem, present time variant multi-objective particle swarm (TV-MOPSO) algorithm compute Pareto front, set containing large number solutions. Contrary methods that change crisp by ranking function, using method, solved directly, no need changing it program. A comparative investigation illustrative examples triangular coefficients show effectiveness algorithm.
springer.com
sci-hub.st 参考文章(62)
Didier Dubois, Etienne Kerre, Radko Mesiar, Henri Prade, Fuzzy Interval Analysis Springer, Boston, MA. pp. 483- 581 ,(2000) , 10.1007/978-1-4615-4429-6_11
Jonathan E. Fieldsend, Sameer Singh, A multi-objective algorithm based upon particle swarm optimisation, an efficient data structure and turbulence ,(2002)
Ali Azadeh, Zeinab Raoofi, Mansour Zarrin, A multi-objective fuzzy linear programming model for optimization of natural gas supply chain through a greenhouse gas reduction approach Journal of Natural Gas Science and Engineering. ,vol. 26, pp. 702- 710 ,(2015) , 10.1016/J.JNGSE.2015.05.039
David A. Van Veldhuizen, Gary B. Lamont, Evolutionary algorithms for solving multi-objective problems ,(2002)
Feng-Tse Lin, A Genetic Algorithm for Linear Programming With Fuzzy Constraints Journal of Information Science and Engineering. ,vol. 24, pp. 801- 817 ,(2008) , 10.6688/JISE.2008.24.3.9
Kalyanmoy Deb, Deb Kalyanmoy, Multi-Objective Optimization Using Evolutionary Algorithms ,(2001)
Y. Shi, R.C. Eberhart, Empirical study of particle swarm optimization congress on evolutionary computation. ,vol. 3, pp. 101- 106 ,(1999) , 10.1109/CEC.1999.785511
George J. Klir, Bo Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications ,(1995)
Ali Ebrahimnejad, A simplified new approach for solving fuzzy transportation problems with generalized trapezoidal fuzzy numbers Applied Soft Computing. ,vol. 19, pp. 171- 176 ,(2014) , 10.1016/J.ASOC.2014.01.041
Adam Lipowski, Dorota Lipowska, Roulette-wheel selection via stochastic acceptance Physica A-statistical Mechanics and Its Applications. ,vol. 391, pp. 2193- 2196 ,(2012) , 10.1016/J.PHYSA.2011.12.004