Novel, useful, and effective definitions for fuzzy linguistic hedges

Abstract

The main emphasis of this paper is on fuzzy linguistic hedging, used to modify membership functions. This paper investigates the issues of obtaining new definitions for hedges which exceed the traditional definitions given by Zadeh (and others), particularly seeing that the effect of applying these hedges does not cross beyond the reasonable limits of membership values[0,1]and is still meaningful from the point of view of magnitude of membership value and hence be really effective for an application. Some of the most commonly used hedges are presented, these hedges are very, positively, negatively, slightly more, and slightly less. The effects of these hedges on numeric examples are charted.

Fuzzy linguistic in geometric modeling

“…The reinforcing modifier gives new properties to the primary terms that are stronger than the original terms. Zadeh [8,16,22] have introduced the modifier "very" as a mathematical interpretation to multiply two values of the membership function in the interval [0,1]: (6) The weakening modifier [8,16,22] should give weak nature of the primary terms of the original terms as "more or less, less, less" and so on. Zadeh introduced the modifier "more or less" as a mathematical interpretation of the square root of the membership function in the interval [0,1] See Figure 1.…”

“…In the concept of linguistic variables, each variable has a specific set of terms variables generated by the function modifier known as hedges [6,9,16,23]. Each term variable is also known as a fuzzy linguistic.…”