fuzzy-logic

Linguistic Hedges and Basic Linguistic Atom

Linguistic Hedges:-

In linguistics, the fundamental atomic terms are often modified with adjectives or adverbs like very, more, slight, more-or-less, almost, nearly, roughly, approximately etcetera. We call these modifiers as linguistic hedges.

Basic Linguistic Atom:-

Basic linguistic atom α is defined as
Basic Linguistic Atom, then

“Very” α

very alpha

“very very” α

very very alpha

“plus” α

plus alpha

“slightly” α

slightly alpha α

“minus” α

minus alpha α

“Intensify” α

intensify-alpha

“not very” α

not very alpha

while considering the linguistic hedges like linguistic hedge example It should be interpreted such that the precedence should be given from the right. In other words, ambiguities in precedence order may be resolved from the use of “association-to-the-right”.

Example:-

Suppose we have universe of integers y={1,2,3,4,5}
we define the following linguistics as a mapping onto y.

  • linguistic-term-small
  • linguistic-term-large

By modifying these two linguistic terms with linguistic hedges to find “very small”, “not very small”, “not very small & not very very large” we get

  1. very smalllinguistic hedge - very small
  2. not very smallnot very small linguistic hedge
  3. not very very largenot very very large linguistic hedge
  4. not very small & not very very large is the minimum of both of the linguistic hedges not very small and not very very large.not very small and not very very large