INDEX

A

Analytical linguistic geometry, 110 - 119

B

Bijective function, 19 – 27 Bijective Semilinguistic function / map29 - 40 Bolzano - Weirstrass Theorem for linguistic

C

Classical Map or Functions, 19 - 27 Closed linguistic interval, 71 - 80 Collinear linguistic points, 150 - 155 Commutative linguistic monoid, 70 - 75 Complement of a linguistic set, 62 - 74 Constant linguistic function, 126 - 136 Continuous linguistic function, 120 - 125 Continuum, 84 - 97

D

Decreasing linguistic function, 126 - 136 Dedekind completeness property, 74 - 83 Dedekind linguistic property, 74 - 83 Discontinuous linguistic function, 135 - 140

E

Equivalent linguistic sets, 70 - 76 Extension of linguistic function, 65 - 74

F

Fuzzy linguistic values, 9-10 Fuzzy membership, 8 - 9

H

Half-closed linguistic interval71 - 80 Half-open linguistic interval71 - 80 Horizontal Linguistic axis, 107 - 129

I

Identity linguistic function, 68 - 75 Increasing linguistic function, 126 - 130 Injective function, 19 - 27 Interior of linguistic set, 82 - 95

L

Linguistic accumulation points, 84 - 97 Linguistic adherent point, 86 - 98 Linguistic approximations, 8 - 9 Linguistic bounded, 92 - 99 Linguistic closure, 86 - 99 Linguistic cluster point, 83 - 97 Linguistic codomain, 62 - 74 Linguistic collinear points, 150 - 155 Linguistic commutative monoid, 70 - 75 Linguistic complement, 62 - 74

Linguistic completeness, 72 - 82 Linguistic condensation point, 83 - 97 Linguistic continuum, 9 - 12 Linguistic curve or graph120 - 125 Linguistic derived set, 92 - 98 Linguistic domain, 62 - 74 Linguistic empty word, 107 - 128 Linguistic geometry, 110 - 119 Linguistic hedge, 8 - 9 Linguistic horizontal axis, 107 - 125 Linguistic identity function, 68 - 75 Linguistic image, 62 - 74 Linguistic infimum, 72 - 82 Linguistic information, 8 - 9 Linguistic interior points, 80 - 94 Linguistic interval, 9 – 12, 69 – 75 Linguistic least upper bound, 72 - 80 Linguistic limit point, 83 - 97 Linguistic line, 110 - 113 Linguistic lower bound, 72 - 80 Linguistic map / function of type I, 43 - 53 Linguistic map / function of type II, 43 - 54 Linguistic map / function of type III, 43 - 54 Linguistic map / function of type IV, 43 - 54 Linguistic map / function, 18 – 25, 43 - 53 Linguistic membership, 9 - 12 Linguistic neighbourhood of a point, 78 - 91 Linguistic Neutrosophic Numbers (LNN), 9-10 Linguistic order completeness, 72 - 82 Linguistic ordered pair, 110 - 119 Linguistic partially ordered set, 14 - 18 Linguistic perfect set, 92 - 97 Linguistic plane, 7, 106 - 128 Linguistic planes, 7 Linguistic polygon, 156 - 159 Linguistic power set of a linguistic set, 15 - 20

Linguistic preimage, 62 - 74 Linguistic quadrilateral, 145 - 150 Linguistic semifield, 70 - 75 Linguistic sets, 7 Linguistic state, 8 - 9 Linguistic straight line, 76 – 93, 110 - 112 Linguistic sub continuum, 86 - 97 Linguistic subsets, 62 - 74 Linguistic supersets, 62 - 75 Linguistic supremum, 72 - 80 Linguistic totally ordered set, 14 - 18 Linguistic trajectory, 8 - 9 Linguistic triangle, 112 - 115 Linguistic universal set, 62 - 74 Linguistic variables, 7 Linguistic vertical axis, 107 - 128 Linguistically equivalent linguistic sets, 70 – 76 Linguistically totally orderable, 69 - 75

M

Mod planes, 7 - 8

N

Neutrosophic Linguistics, 9-10 Non decreasing linguistic function, 139 - 143 Non increasing linguistic function, 139 - 143 Noncollinear linguistic points, 153 - 158

O

One to one semilinguistic map / function, 29 - 41 Open linguistic interval, 71 - 80

P

Partially ordered linguistic set, 14 - 18 Partially ordered, 9 - 12

R

Restriction of linguistic function, 65 - 74

S

Semi open linguistic interval, 71 - 80 Semiclosed linguistic interval, 71 - 80 Semilinguistic bijective function / map, 29 - 40 Semilinguistic function / map of type III, 36 - 49 Semilinguistic function / map of type IV, 36 - 49 Semilinguistic function / map, 29 - 40 Semilinguistic functions that are not classical, 33 - 42 Semilinguistic map / function of type I, 35 - 49 Semilinguistic map / function of type II, 35 - 49 Semilinguistic one to one map / function, 29 - 41 Simplified Neutrosophic Linguistic sets (SNLS), 10 Special linguistic functions, 44 – 50

T

Totally ordered linguistic set, 14 – 18, 69 - 75 Totally ordered, 9 - 12

U

Universal linguistic set, 62 - 74 Unordered set, 9 - 12

V

Vertical linguistic axis, 107 - 129