Ranjan Kumar, S. Jha, Ramayan Singh
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引用次数: 36
A Different Approach for Solving the Shortest Path Problem Under Mixed Fuzzy Environment
Theauthorspresentanewalgorithmforsolvingtheshortestpathproblem(SPP)inamixedfuzzy environment.Withthisalgorithm,theauthorscansolvetheproblemswithdifferentsetsoffuzzy numberse.g.,normal,trapezoidal,triangular,andLR-flatfuzzymembershipfunctions.Moreover,the authorscansolvethefuzzyshortestpathproblem(FSPP)withtwodifferentmembershipfunctions suchasnormalandafuzzymembershipfunctionunderreal-lifesituations.Thetransformationof thefuzzylinearprogramming(FLP)modelintoacrisplinearprogrammingmodelbyusingascore functionisalsoinvestigated.Furthermore,theshortcomingsofsomeexistingmethodsarediscussed andcomparedwiththealgorithm.Theobjectiveoftheproposedmethodistofindthefuzzyshortest path(FSP)forthegivennetwork;however,thisisalsocapableofpredictingthefuzzyshortestpath length(FSPL)andcrispshortestpathlength(CSPL).Finally,somenumericalexperimentsaregiven toshowtheeffectivenessandrobustnessofthenewmodel.Numericalresultsshowthatthismethod issuperiortotheexistingmethods. KEywoRDS Fuzzy Linear Programming, Normal Fuzzy Number, Score Function, Shortest Path Problem
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