# Sets, Generalized Sets, Customizable Sets and Intervals

## Documentation for package ‘sets’ version 1.0-25

- DESCRIPTION file
- User guides, package vignettes and other documentation
- Package NEWS

## Help Pages

A B C E F G I L M N P R S T misc

## -- A --

as.character.interval | Intervals
as.cset | Customizable sets
as.double.interval | Intervals
as.gset | Generalized sets
as.interval | Intervals
as.interval.default | Intervals
as.interval.interval | Intervals
as.interval.list | Intervals
as.interval.NULL | Intervals
as.interval.numeric | Intervals
as.interval.set | Intervals
as.interval.tuple | Intervals
as.list.interval | Intervals
as.set | Sets
as.tuple | Tuples

## -- B --

binary_closure | Closure and reduction
binary_reduction | Closure and reduction

## -- C --

canonicalize_set_and_mapping | Canonicalize set and mapping
charfun_generator | Fuzzy membership functions
closure | Closure and reduction
closure.set | Closure and reduction
cset | Customizable sets
cset_bound | Customizable sets
cset_cardinality | Customizable sets
cset_cartesian | Customizable sets
cset_charfun | Customizable sets
cset_combn | Customizable sets
cset_complement | Customizable sets
cset_concentrate | Customizable sets
cset_contains_element | Customizable sets
cset_core | Customizable sets
cset_defuzzify | Customizable sets
cset_difference | Customizable sets
cset_dilate | Customizable sets
cset_dissimilarity | Similarity and Dissimilarity Functions
cset_has_missings | Customizable sets
cset_height | Customizable sets
cset_intersection | Customizable sets
cset_is_crisp | Customizable sets
cset_is_empty | Customizable sets
cset_is_equal | Customizable sets
cset_is_fuzzy_multiset | Customizable sets
cset_is_fuzzy_set | Customizable sets
cset_is_multiset | Customizable sets
cset_is_proper_subset | Customizable sets
cset_is_set | Customizable sets
cset_is_set_or_fuzzy_set | Customizable sets
cset_is_set_or_multiset | Customizable sets
cset_is_subset | Customizable sets
cset_matchfun | Customizable sets
cset_matchfun<- | Customizable sets
cset_mean | Customizable sets
cset_memberships | Customizable sets
cset_normalize | Customizable sets
cset_orderfun | Customizable sets
cset_orderfun<- | Customizable sets
cset_outer | Outer Product of Sets (Tuples)
cset_peak | Customizable sets
cset_power | Customizable sets
cset_product | Customizable sets
cset_similarity | Similarity and Dissimilarity Functions
cset_sum | Customizable sets
cset_support | Customizable sets
cset_symdiff | Customizable sets
cset_transform_memberships | Customizable sets
cset_union | Customizable sets
cset_universe | Customizable sets
cut.cset | Customizable sets
cut.gset | Generalized sets

## -- E --

e | Generalized sets

## -- F --

fuzzy_bell | Fuzzy membership functions
fuzzy_bell_gset | Fuzzy membership functions
fuzzy_cone | Fuzzy membership functions
fuzzy_cone_gset | Fuzzy membership functions
fuzzy_docs | Documents on Fuzzy Theory
fuzzy_inference | Fuzzy inference
fuzzy_logic | Fuzzy logic
fuzzy_normal | Fuzzy membership functions
fuzzy_normal_gset | Fuzzy membership functions
fuzzy_partition | Fuzzy inference
fuzzy_pi3 | Fuzzy membership functions
fuzzy_pi3_gset | Fuzzy membership functions
fuzzy_pi4 | Fuzzy membership functions
fuzzy_pi4_gset | Fuzzy membership functions
fuzzy_rule | Fuzzy inference
fuzzy_sigmoid | Fuzzy membership functions
fuzzy_sigmoid_gset | Fuzzy membership functions
fuzzy_system | Fuzzy inference
fuzzy_trapezoid | Fuzzy membership functions
fuzzy_trapezoid_gset | Fuzzy membership functions
fuzzy_triangular | Fuzzy membership functions
fuzzy_triangular_gset | Fuzzy membership functions
fuzzy_tuple | Fuzzy membership functions
fuzzy_two_normals | Fuzzy membership functions
fuzzy_two_normals_gset | Fuzzy membership functions
fuzzy_variable | Fuzzy inference

## -- G --

gset | Generalized sets
gset_bound | Generalized sets
gset_cardinality | Generalized sets
gset_cartesian | Generalized sets
gset_charfun | Generalized sets
gset_combn | Generalized sets
gset_complement | Generalized sets
gset_concentrate | Generalized sets
gset_contains_element | Generalized sets
gset_core | Generalized sets
gset_defuzzify | Generalized sets
gset_difference | Generalized sets
gset_dilate | Generalized sets
gset_dissimilarity | Similarity and Dissimilarity Functions
gset_has_missings | Generalized sets
gset_height | Generalized sets
gset_intersection | Generalized sets
gset_is_crisp | Generalized sets
gset_is_empty | Generalized sets
gset_is_equal | Generalized sets
gset_is_fuzzy_multiset | Generalized sets
gset_is_fuzzy_set | Generalized sets
gset_is_multiset | Generalized sets
gset_is_proper_subset | Generalized sets
gset_is_set | Generalized sets
gset_is_set_or_fuzzy_set | Generalized sets
gset_is_set_or_multiset | Generalized sets
gset_is_subset | Generalized sets
gset_mean | Generalized sets
gset_memberships | Generalized sets
gset_normalize | Generalized sets
gset_outer | Outer Product of Sets (Tuples)
gset_peak | Generalized sets
gset_power | Generalized sets
gset_product | Generalized sets
gset_similarity | Similarity and Dissimilarity Functions
gset_sum | Generalized sets
gset_support | Generalized sets
gset_symdiff | Generalized sets
gset_transform_memberships | Generalized sets
gset_union | Generalized sets
gset_universe | Generalized sets

## -- I --

integers | Intervals
integers2reals | Intervals
interval | Intervals
interval_complement | Intervals
interval_contains_element | Intervals
interval_difference | Intervals
interval_division | Intervals
interval_domain | Intervals
interval_intersection | Intervals
interval_is_bounded | Intervals
interval_is_closed | Intervals
interval_is_countable | Intervals
interval_is_degenerate | Intervals
interval_is_empty | Intervals
interval_is_equal | Intervals
interval_is_finite | Intervals
interval_is_greater_than | Intervals
interval_is_greater_than_or_equal | Intervals
interval_is_half_bounded | Intervals
interval_is_left_bounded | Intervals
interval_is_left_closed | Intervals
interval_is_left_open | Intervals
interval_is_left_unbounded | Intervals
interval_is_less_than | Intervals
interval_is_less_than_or_equal | Intervals
interval_is_proper | Intervals
interval_is_proper_subinterval | Intervals
interval_is_right_bounded | Intervals
interval_is_right_closed | Intervals
interval_is_right_open | Intervals
interval_is_right_unbounded | Intervals
interval_is_subinterval | Intervals
interval_is_unbounded | Intervals
interval_is_uncountable | Intervals
interval_measure | Intervals
interval_power | Intervals
interval_product | Intervals
interval_sum | Intervals
interval_symdiff | Intervals
interval_union | Intervals
is.charfun_generator | Fuzzy membership functions
is.cset | Customizable sets
is.gset | Generalized sets
is.interval | Intervals
is.set | Sets
is.tuple | Tuples
is_element | Generalized sets

## -- L --

LABEL | Labels from objects
LABEL.character | Labels from objects
LABELS | Labels from objects
length.cset | Customizable sets
length.gset | Generalized sets
length.set | Sets
lengths.cset | Customizable sets
lengths.gset | Generalized sets
lengths.set | Sets
lines.charfun_generator | Plot functions for generalized sets
lines.cset | Plot functions for generalized sets
lines.gset | Plot functions for generalized sets
lines.set | Plot functions for generalized sets
lines.tuple | Plot functions for generalized sets

## -- M --

make_set_with_order | Sets
matchfun | Customizable sets
max.interval | Intervals
mean.cset | Customizable sets
mean.gset | Generalized sets
mean.interval | Intervals
median.cset | Customizable sets
median.gset | Generalized sets
min.interval | Intervals

## -- N --

naturals | Intervals
naturals0 | Intervals

## -- P --

pair | Tuples
plot.charfun_generator | Plot functions for generalized sets
plot.cset | Plot functions for generalized sets
plot.gset | Plot functions for generalized sets
plot.set | Plot functions for generalized sets
plot.tuple | Plot functions for generalized sets
prod.interval | Intervals

## -- R --

range.interval | Intervals
reals | Intervals
reals2integers | Intervals
reduction | Closure and reduction
reduction.set | Closure and reduction

## -- S --

set | Sets
sets_options | Options for the 'sets' package
set_cardinality | Sets
set_cartesian | Sets
set_combn | Sets
set_complement | Sets
set_contains_element | Sets
set_dissimilarity | Similarity and Dissimilarity Functions
set_intersection | Sets
set_is_empty | Sets
set_is_equal | Sets
set_is_proper_subset | Sets
set_is_subset | Sets
set_outer | Outer Product of Sets (Tuples)
set_power | Sets
set_similarity | Similarity and Dissimilarity Functions
set_symdiff | Sets
set_union | Sets
singleton | Tuples
sum.interval | Intervals

## -- T --

triple | Tuples
tuple | Tuples
tuple_is_ntuple | Tuples
tuple_is_pair | Tuples
tuple_is_singleton | Tuples
tuple_is_triple | Tuples
tuple_outer | Outer Product of Sets (Tuples)

## -- misc --

%..% | Intervals
%<% | Intervals
%<=% | Intervals
%>% | Intervals
%>=% | Intervals
%D% | Generalized sets
%e% | Generalized sets
%is% | Fuzzy inference
.I. | Fuzzy logic
.N. | Fuzzy logic
.S. | Fuzzy logic
.T. | Fuzzy logic