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Linear programming approach for solving fuzzy critical path problems with fuzzy parameters
Affiliation:1. Computer Science and Communications Research Unit, University of Luxembourg, Luxembourg;2. Laboratoire d’Informatique Fondamentale de Lille, University of Lille 1, France;1. College of Electrical and Information Engineering, Northeast Petroleum University, Daqing, Heilongjiang Province 163318, PR China;2. Research Institute of Automation, China University of Petroleum, Beijing 102249, PR China;1. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hunghom, Kowloon, Hong Kong, China;2. School of Electronics and Computer Science, University of Southampton Malaysia Campus, Nusajaya, Johor, Malaysia;3. Department of Electrical and Computer Engineering, Curtin University, WA, Australia
Abstract:To the best of our knowledge, there is no method in the literature to find the fuzzy optimal solution of fully fuzzy critical path (FFCP) problems i.e., critical path problems in which all the parameters are represented by LR flat fuzzy numbers. In this paper, a new method is proposed for the same. Also, it is shown that it is better to use JMD representation of LR flat fuzzy numbers in the proposed method as compared to the other representation of LR flat fuzzy numbers.
Keywords:Fully fuzzy critical path problem  Ranking function
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