INDEX

B

Bipartite linguistic graph, 12 - 50

C

Classical maps, 10 - 15 Closed linguistic subinterval, 72 - 80 Commutative linguistic idempotent monoid, 65 - 79 Commutative linguistic monoid, 65 - 79 Commutative monoid, 23 - 30 Commutative semigroup, 23 - 30 Commutative semiring, 26 - 31 Continuous linguistic decreasing order chain, 75 - 82

F

Finite linguistic vector spaces, 136 - 46

I

Ideals, 64 - 75 Idempotent linguistic commutative monoid, 67 - 79 Idempotent linguistic monoid, 65 - 79 Incomplete linguistic function, 159 - 66 Incomplete linguistic mappings, 159 - 166

L

Linear operator of semivector spaces, 40 - 8 Linear transformation of semivector spaces, 38 - 52 Linguistic bipartite graph, 12 - 50 Linguistic commutative idempotent monoid, 67 - 79 Linguistic commutative idempotent submonid, 66 - 78 Linguistic commutative idempotent subsemigroup, 68 -79 Linguistic commutative monoid, 65 - 79 Linguistic commutative semigroup, 129 - 145 Linguistic continuous increasing chains, 74 - 83 Linguistic continuous increasing subrings, 75 - 82 Linguistic continuous subcontinuum, 75 - 82 Linguistic continuum, 7 - 40 Linguistic greatest decreasing subcontinuum, 75 - 82 Linguistic idempotent commutative monoid, 65 - 79 Linguistic idempotent monoid, 65 - 79 Linguistic interval, 7 - 40

Linguistic least decreasing subcontinuum, 75 - 82 Linguistic mappings, 159 - 164 Linguistic maps, 10 - 50 Linguistic monoid, 65 - 79 Linguistic power set, 88 - 96 Linguistic projection, 168 – 75 Linguistic sagittal diagram, 20 - 30 Linguistic semifields, 129 - 145 Linguistic semilinear algebra, 137 - 52 Linguistic semirings, 129 - 145 Linguistic semivector space, 139 - 52 Linguistic square matrices, 151 - 9 Linguistic strong semivector subspaces, 136 - 46 Linguistic subchain, 72 - 80 Linguistic subinterval, 112 - 115 Linguistic submonoid, 66 - 78 Linguistic subsemifield, 136 - 46 Linguistic subsemigroup, 66 - 78 Linguistic subset ideals, 98 - 102 Linguistic subset monoids, 87 - 97 Linguistic subset semifield, 129 - 145 Linguistic subset semigroup, 89 – 98, 129 - 145 Linguistic subset semivector spaces, 136 - 46 Linguistic subset submonoid, 89 - 98 Linguistic subset subsemigroup, 89 - 98

Linguistic subset subsemivector spaces, 139 - 155 Linguistic terms / words, 7 - 40 Linguistic transformation, 165 - 170 Linguistic variable, 7 - 40

M

Matrix linear algebras, 7 - 12 Matrix semilinear algebras, 7 - 12 Monoids, 10 - 20

N

Non commutative monoid, 24 - 30 Non commutative semigroup, 24 - 30

P

Partially linguistic ordered set, 92 - 105

S

Saggital diagram, 20 - 30 Sagittal binary linguistic relation, 20 - 30 Semifield, 26 - 31 Semigroup, 23 - 30 Semilinear algebra, 27 - 36 Semiring, 26 - 31 Semivector spaces, 7 -12, 27 - 36

Smarandache semigroup, 33 - 38 Smarandache semilinear algebra, 33 - 39 Smarandache semivector space, 33 - 39 S-semigroups, 33 - 38 S-semilinear algebras, 33 - 39 S-semivector spaces, 33 - 39 Strong linguistic semivector subspaces, 136 - 47 Strong linguistic subsemivector spaces, 136 - 46 Subsemigroups, 64 - 75 Subset linguistic semigroups, 129 - 145

V

Vector spaces, 7 - 12