Study On Decision Making System Based On Soft Set Theory And Application Analysis

In the process of construction the new area of Zhoushan archipelago, the pressures on development is increasing as relevant island will proceed apace. In order to develop better, it is very important to research on the affect of the environment by development of the island and improving the island self-healing ability. It is well known that the lack of knowledge of physics and statistical data result in the complexity to assess the environmental resources of islands. Soft set has been successfully utilized for information processing, engineering control, decision making, data mining, expert system and so on. However, it is not competent for handling inexact information in a logically correct manner. Since interval-valued intuitionistic fuzzy soft sets provide us with more design degrees of freedom, interval-valued intuitionistic fuzzy soft sets fuzzy reasoning has the potential to outperform in uncertain or vague environment. Therefore, this thesis mainly discusses some properties and application in remote sensing image classification of interval-valued intuitionistic fuzzy soft sets. The main parts can be described in the following:1. The first part of this thesis mainly is devoted to investigate the property and give some fundamental theorem of cuts of interval-valued intuitionistic fuzzy set based on interval-valued t-norm underlying the property of interval-valued t-norm. Combined with the concept of classic soft set, then the fuzzy soft set theory is defined. Moreover, considering of the differences between the various property values may affect the results of the final decision, the interval-valued intuitionistic fuzzy soft set is put forward through combining interval-valued intuitionistic fuzzy set with soft set. The soft set is extended to interval-valued intuitionistic fuzzy soft set.2. The application of interval-valued intuitionistic fuzzy soft set in image classification has been discussed. We first set image properties as parameters, and then interval-valued intuitionistic fuzzy soft set can be applied in remote sensing image classification. At the same time, some analysis of the practical problems is illustrated. Key wards: Soft set; Intuitionistic fuzzy set; Cut set; Interval-valued intuitionistic fuzzy...