Theory of Variable Fuzzy Sets and Variable Model Sets
The definition of fuzzy variable sets which is expressed by relative membership function and the model of variable fuzzy clustering iteration, variable fuzzy pattern recognition, and variable fuzzy opposite recognition are given are given.
Abstract
Based on definition of opposite fuzzy sets,the definition of fuzzy variable sets which is expressed by relative membership function and the model of variable fuzzy clustering iteration,variable fuzzy pattern recognition,and variable fuzzy opposite recognition are given in this paper.These are unified model sets for variable fuzzy clustering,recognition,optimum decision making and assessment.More importantly,these are base and core to the theory of variable fuzzy sets.They could be applied to actual problems in all kinds of subject,such as nature,management,humanity and society, etc.,including fuzzy clustering,recognition,optimum decision making,assessment and forecasting,etc.