# Fuzzy Measure Tools

## Documentation for package ‘Rfmtool’ version 5.0.4

- DESCRIPTION file.
- User guides, package vignettes and other documentation.

## Help Pages

F

## -- F --

fm | Rfmtool package
fm.add_pair_sparse | Function for adding a pair to the sparse fuzzy measure
fm.add_singletons_sparse | Function for adding singletons to the sparse fuzzy measure
fm.add_tuple_sparse | Function for adding singletons to the sparse fuzzy measure
fm.Banzhaf | Banzhaf value computation function
fm.Banzhaf2addMob | Function for calculating Banzhaf values of 2-additive fuzzy measure in Mobius representation
fm.BanzhafMob | Banzhaf value computation function in Mobius representation
fm.BanzhafMob_sparse | Banzhaf values computation function in sparse representation
fm.Bipartition | Bipartition interaction index computation function
fm.BipartitionBanzhaf | Bipartition Banhzaf interaction index computation function
fm.check_convexity_monotonicity_mob | Function for checking supermodularity of the set function v in Mobius representation
fm.check_monotonicity | Function for checking monotonicity of the set function v
fm.check_monotonicity_mob | Function for checking monotonicity of the set function v in Mobius representation.
fm.check_monotonicity_mob_2additive | Function for checking the monotonicity of the 2-additive set function v in Mobius representation.
fm.check_monotonicity_sort_insert | Function for checking monotonicity of the set function v
fm.check_monotonicity_sort_merge | Function for checking monotonicity of the set function v
fm.Choquet | Choquet integral computation function
fm.Choquet2addMob | Function for calculating Choquet integral value for 2-additive fuzzy measure in Mobius representation
fm.ChoquetCoMobKInter | function for calculating Choquet integral value with respect to dual k-interactive fuzzy measure in Mobius representation
fm.ChoquetKinter | Choquet integral value computation function in standard representation wrt k-interactive fuzzy measure
fm.ChoquetMob | Choquet integral value computation function in Mobius representation
fm.ChoquetMob_sparse | Choquet integral computation function in sparse representation
fm.ConstructLambdaMeasure | Function for Constructing Lambda
fm.ConstructLambdaMeasureMob | Function for Constructing Lambda in Mobius representation
fm.ConvertCoMob2Kinter | Function for dual k-interactive fuzzy measure from Mobius to standard representation
fm.dualm | Function for calculating dual of fuzzy measure
fm.dualmMob | Dualm computation function in Mobius representation
fm.dualMobKadd | Function for calculating dual of k-additive fuzzy measure in Mobius representation
fm.EntropyChoquet | Entropy of fuzzy measure
fm.EntropyChoquetMob | Entropy Choquet computation function in Mobius representation
fm.errorcheck | Basic error check
fm.expand_2add_full | Function for exporting full representation of 2-additive capacity
fm.expand_sparse_full | Function for exporting full capacity from sparse representation
fm.export_maximal_chains | Function for exporting maximal chains
fm.fitting | Fuzzy Measure Fitting function
fm.fitting2additive | Fuzzy Measure Fitting function
fm.fittingKinteractive | Fuzzy Measure Fitting function
fm.fittingKinteractiveAuto | Fuzzy Measure Fitting function of the k-interactive
fm.fittingKinteractiveMarginal | Fuzzy Measure Fitting function of the k-interactive using marginal representation
fm.fittingKinteractiveMarginalMC | Fuzzy Measure Fitting function of the k-interactive using marginal representation and maximal chains method
fm.fittingKinteractiveMC | Fuzzy Measure Fitting function of the k-interactive using maximal chains method
fm.fittingKmaxitive | Fuzzy Measure Fitting function of the k-maxitive
fm.fittingKtolerant | Fuzzy Measure Fitting function of the k-tolerant
fm.fittingMob | Mobius Fuzzy Measure Fitting function
fm.fittingOWA | Symmetric Fuzzy Measure Fitting function
fm.fittingWAM | Additive Fuzzy Measure Fitting function
fm.fm_arraysize | Function for returning the length of the array
fm.Free | FreeSparseFM function
fm.FreeSparseFM | FreeSparseFM function
fm.FuzzyMeasureFitLP | Fuzzy Measure Fitting function.
fm.FuzzyMeasureFitLPMob | Mobius Fuzzy Measure Fitting function, R wrapper for FuzzyMeasureFitLP() in fuzzymeasurefit.cpp
fm.generate_antibuoyant | Function for generating one antibuoyant random fuzzy measure
fm.generate_balanced | Function for random generation of balanced fuzzy measures in standard representation
fm.generate_belief | Function for random generation of belief fuzzy measures in standard representation
fm.generate_fmconvex_tsort | Function for generating convex fuzzy measures
fm.generate_fm_2additive | Function for generating 2-additive fuzzy measures in Mobius representation
fm.generate_fm_2additive_concave | Function for generating 2additive concave fuzzy measures.
fm.generate_fm_2additive_convex | Function for generating 2-additive convex fuzzy measures
fm.generate_fm_2additive_convex_sparse | Function for generating 2additive convex numbers in sparse representation
fm.generate_fm_2additive_convex_withsomeindependent | Function for generating 2additive convex fuzzy measures with some independent inputs
fm.generate_fm_2additive_randomwalk2 | Function for generating random 2-additive fuzzy measures in Mobius representation by using random walk.
fm.generate_fm_kadditive_convex_sparse | Generate kadditive convex sparse fuzzy measures
fm.generate_fm_kinteractivedualconcave | Function for generating k-interactive dual concave fuzzy measures in Mobius representation
fm.generate_fm_kinteractivedualconvex | Function for generating several k-interactive dual convex fuzzy measures in Mobius representation
fm.generate_fm_minplus | Generate randomly fuzzy measures
fm.generate_fm_randomwalk | Function for generating several k-additive fuzzy measure
fm.generate_fm_sorting | Function for random generation of fuzzy measures in standard representation
fm.generate_fm_tsort | Function for random generation of fuzzy measures
fm.get_num_tuples | Function for exporting number of tuples
fm.get_sizearray_tuples | Function for exporting the size of the array of tuples
fm.Init | Initialisation function
fm.Interaction | Interaction Index computation function
fm.InteractionB | Banzhaf Interaction Index computation function
fm.InteractionBMob | Banzhaf InteractionB Index computation function in Mobius representation
fm.InteractionMob | Interaction Index computation function for Mobius fuzzy measure
fm.IsMeasureAdditive | IsMeasureAdditive function
fm.IsMeasureAdditiveMob | IsMeasureAdditive function in Mobius representation
fm.IsMeasureBalanced | IsMeasureBalanced function
fm.IsMeasureBalancedMob | IsMeasureBalanced function in Mobius representation
fm.IsMeasureKmaxitive | IsMeasureKmaxitive function
fm.IsMeasureKmaxitiveMob | IsMeasureKmaxitive function in Mobius representation
fm.IsMeasureSelfdual | IsMeasureSelfdual function
fm.IsMeasureSelfdualMob | IsMeasureSelfdual function in Mobius representation
fm.IsMeasureSubadditive | IsMeasureSub additive function
fm.IsMeasureSubadditiveMob | IsMeasureSub additive function in Mobius representation
fm.IsMeasureSubmodular | IsMeasureSub modular function
fm.IsMeasureSubmodularMob | IsMeasureSubmodular function in Mobius representation
fm.IsMeasureSuperadditive | IsMeasureSuperadditive function
fm.IsMeasureSuperadditiveMob | IsMeasureSuperadditive function in Mobius representation
fm.IsMeasureSupermodular | IsMeasureSupermodular function
fm.IsMeasureSupermodularMob | IsMeasureSupermodular function in Mobius representation
fm.IsMeasureSymmetric | IsMeasureSymmetric function
fm.IsMeasureSymmetricMob | IsMeasureSymmetric function in Mobius representation
fm.is_inset_sparse | Function for checking if i belongs to the tuple A
fm.is_subset_sparse | Function for checking if tuple B is subset of tuple A
fm.max_subset_sparse | Maximun of x computation function in sparse representation
fm.min_subset_sparse | Minimun of x computation function in sparse representation
fm.Mobius | Mobius transform function
fm.NonadditivityIndex | Nonadditivity index computation function
fm.NonadditivityIndexMob | Nonadditivity index computation function in Mobius representation
fm.NonmodularityIndex | Nonmodularity index computation function
fm.NonmodularityIndexKinteractive | NonmodularityIndexKinteractive computation function
fm.NonmodularityIndexMob | Nonmodularityindex computation function in Mobius representation
fm.NonmodularityIndexMobkadditive | Function for calculating all Nonmodularity indices of k-additive in Mobius representation
fm.NonmodularityIndex_sparse | Nonmodularity index computation function in sparse representation
fm.OrnessChoquet | OrnessChoquet function
fm.OrnessChoquetMob | OrnessChoquet function in Mobius representation
fm.populate_fm_2add_sparse | Function for populating 2-additive sparse capacity
fm.populate_fm_2add_sparse_from2add | Function for populating 2-additive sparse capacity from 2-additive capacity
fm.PrepareSparseFM | PrepareSparseFM preparation function
fm.Shapley | Shapley value computation function
fm.Shapley2addMob | Function for calculating Shapley values of 2-additive fuzzy measure in Mobius representation
fm.ShapleyMob | Shapley value computation function in Mobius representation
fm.ShapleyMob_sparse | Shapley values computation function in sparse representation
fm.ShowCoalitions | Show Coalitions function
fm.ShowCoalitionsCard | Show CoalitionsCard function
fm.sparse_get_pairs | Get pairs computation function in sparse representation
fm.sparse_get_singletons | Get singletons of sparse fuzzy measure
fm.sparse_get_tuples | Get tuples of a sparse fuzzy measure
fm.Sugeno | Sugeno computation function
fm.SugenoMob | Sugeno function in Mobius representation
fm.test | Test function
fm.tuple_cardinality_sparse | Tuple cardinality
fm.Zeta | Zeta transform function