Publikation
Linguistic Variables of Type-N - a Mathematical Model
Regivan Hugo Nunes Santiago; Christian Maeder
In: Tendencias em Matematica Aplicada e Computacional (TEMA), Vol. 12, No. 1, Pages 21-30, SBMAC, Brasil, 4/2011.
Zusammenfassung
This work proposes a generalization for the notions of Linguistic Variables
and Fuzzification Process. The idea is to provide a concept of fuzzy systems in
which the linguistic terms of a linguistic variable are not necessarily connected with
fuzzy sets of the same type. Those systems are called here Systems of Type-n.
We introduce concepts like n-Homogeneous linguistic variables which emphasizes
the occurrence of different levels of uncertainty in such Fuzzy systems. The
most important result is the statement of the General Fuzzification Expression
(GFE) which establishes how the fuzzification process must be calculated in every
system of type-n.