Fuzzy optimization is a well-known optimization problem in artificial intelligence, system
control, manufacturing and management, establishing general and operable fuzzy
optimization methods are important in both theory and application. In this paper, starting
from the structure of fuzzy information and the mechanism of fuzzy optimization, we propose
the concept of quasi-linear fuzzy number, and discuss its approximation properties and the
features on arithmetic operations. Further, by distinguishing principal indices and secondary …

By studying the structure of fuzzy information and the mechanism of fuzzy optimization, one
concept, quasi-linear fuzzy number, is first proposed in this paper. It has been proven that
quasi-linear fuzzy number can approach to any form of fuzzy number under Lp-metric.
Second, by distinguishing principal indexes and assistant indexes, this paper gives the
comparison method of fuzzy information based on synthesizing effect and the description
method of fuzzy information on quasi-linear fuzzy number and principal indexes. Third, a …