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Research On Uncertain Multiple Attribute Decision Ranking Based On Rough Sets

Posted on:2010-12-23Degree:DoctorType:Dissertation
Country:ChinaCandidate:X S LiuFull Text:PDF
GTID:1119360275458215Subject:Management Science and Engineering
Abstract/Summary:PDF Full Text Request
The multi-attribute decision making is a very useful model for almost every discipline at present,especially,the uncertain multi-attribute decision making,as a branch of it,adding the uncertainty,become more and more popular in practice.The theory of rough set,as the most useful tool of describing uncertainty,may a best alternative for solving the this problems.The paper discusses the order of the uncertain multi-attribute decision making based on the rough set theory methodologically.The results are as following.1.The multi-attribute decision making of rough set under superiority relationship.This is the rough set of superiority relationship established,by extending the equivalent relationship to superiority one,based on Pawlak's theory of rough set and also an order method created based on this theory.Its advantage is to make an intensive order to suit the establishment of the order relationship of multi-attribute.This paper examines that how to get the observation value of superiority degree,using concepts of superiority relationship and superiority type,by combining the measurement of involved degree,to set up the order approach of multi-attribute problem.2.The method of rough set of the fuzzy multi-attribute decision making.By thinking the attribute value as a fuzzy set,it needs to apply the rough fuzzy set of the rough set theory to deal with the fuzzy value,then sequence the plan based on an order relationship established.This method combined the theory of fuzzy set and the rough set,is beneficial to solve the multi-attribute decision making described by fuzzy quantity,and to deal with the fuzzy issues as well.3.The study of rough fuzzy number.To handle a lot of fuzzy number in the fuzzy set,it intends to establish the rough fuzzy number based on the rough set theory.And then explain this new concept theoretically in order to put the rough fuzzy number into practice to result a big outcome.The approaches discussed above have been approved by many empirical tests,and some get a successful comparison of its advantages,and so it can be effective applied to practice...
Keywords/Search Tags:superiority relationship, superiority degree, rough fuzzy number, involved degree, rough set
PDF Full Text Request
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