Approach And Application Of Soft Set Decision Making Based On Soft Discernibility Matrix

Since Molodtsov proposed the concept of soft sets in 1999,Researchers have paid attention on the concept of soft sets,and the concept of soft sets achieves the widespread applications.Many scholars used different concepts of soft sets for study of decision making problems,however,in decision making problems there are some situations that the fuzzy soft sets and the intuitionistic fuzzy soft sets cannot deal with,and the results by using the fuzzy soft sets and the intuitionistic fuzzy sets are undesirable.By further studying the soft discernibility matrices and the level soft sets,the classical soft sets problems can be extended to fuzzy soft sets and intuitionistic fuzzy soft sets. By using level soft sets,the fuzzy soft sets and intuitionistic fuzzy soft sets can be transformed to classical soft sets,and it can be bound with soft discernibility matrices to solve certain decision making problems that cannot be solved by fuzzy soft sets and intuitionistic fuzzy soft sets,which extends the concepts of fuzzy soft sets?intuitionistic fuzzy soft sets and discernibility matrices and promotes the development of soft sets.The main work of this thesis include:(1) In order to deal with decision making problems by using soft discernibility matrices,the fuzzy soft sets are introduced into level soft sets.Firstly,the intuitionistic fuzzy soft sets and fuzzy soft sets are transformed to classical soft sets by utilizing the level soft sets of fuzzy soft sets and the level sets of intuitionistic fuzzy soft sets separately;Then,the concept of soft discernibility matrices is introduced. By combining the level soft sets of fuzzy soft sets and intuitionistic fuzzy soft sets,the decision making algorithms of fuzzy soft sets and intuitionistic fuzzy soft sets both based on soft discernibility matrices are proposed for dealing with different decision making problems,The practicability of the two algorithms is verified.(2) By combining the two different algorithms we mentioned before,a housing assistant system can be designed,and this system can assist the processes of housing.Firstly,according to buyers' different preferences for the estates,the data can be collected with fuzzy soft sets or intuitionistic fuzzy soft sets.By applying the decision making algorithm of fuzzy soft sets based on soft discernibility matrices or the algorithm of intuitionistic fuzzy soft sets based on soft discernibility matrices to analyze the data,and from the results of analyses,the buyers can gain an optimized order that can be provided as a reference for housing.This system provides a brand new angle for the furtherdevelopment of housing assistant system,and it not only improves the working efficiency for salesmen but also can save time for the buyers.