In the sense of this new order relation, this paper continues to discuss the limit of a sequence of fuzzy numbers and the continuity of the fuzzy numbers in A~1 (A~1 is a special subset of the set of all fuzzy numbers E~1).
Fault location is an importrant function in distribuiton automation. In the thesis,the transferred information from feeder terminal unit is computed with load’s trapezoid fuzzy figure. The fault location is affirmed by the result of computation using the trapezoid fuzzy math theory.
The conception of fuzzy figure distance not only plays a key role in fuzzy analysis, it is the basis of some conceptions such as limit, continuity , astringency , stability ,and it's important in fuzzy application technical.
Transforming the performance indices into a performance model, applying the fuzzy theory to the identification of fuzzy-number model of the object, and computer implementation of fuzzy algorithms yield a performance-model-reference design method.
Through measuring the cut-subsets of fuzzy subsets,and by using the imbedding theorem of one dimension fuzzy number. It constitutes a measurement with the definition based on H and valued in one dimension fuzzy-number space. The measurement defined by A is just the measurement μ,with a countable added-ability,upper and low-continuity,automatic continuity and so on.
The polygonal fuzzy numbers are employed to define a new fuzzy arithmetic.
The order structure of fuzzy numbers based on the level characteristics and its application to optimization problems
Ranking and comparing fuzzy numbers is an important part in many fuzzy optimization problems such as intelligent control and manufacturing system production line scheduling with uncertainty environments.
Some mathematical properties of the model are also discussed when the fuzzy variables are interval fuzzy numbers or trapezoidal fuzzy numbers.
A group of decision-makers (DMs) first independently assess bidding plans according to their experience and preferences, and these assessments may be expressed as linguistic terms, which are then converted to fuzzy numbers.