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An Approach To Fuzzy Multi-attribute Group Decision Making

Posted on:2006-04-01Degree:MasterType:Thesis
Country:ChinaCandidate:Z ZouFull Text:PDF
GTID:2179360182455211Subject:Applied Mathematics
Abstract/Summary:
In the social life of reality, the forming of actual decision does not often be made by one person.Any decision will influence a group of persons.So, in the just, democratic society, great decision should try one's best to meet and should be made policy the hope and demand of the masses . The masses reflect one's own hope and demand through representatives, meanwhile, the representatives make up various kinds of committees, synthesize the masses' hope and demand, meeting the wishes of masses and demand maximized. Moreover, in daily life, the daily decision which people meet every day, though the category not belonging to group of decision , will solicit the suggestions of relatives and friends or the colleague in essence, then make the decision.A group of decision of many attribute is a kind of common colony decision question, its characteristic is under the situations of a lot of attribute , limited schemes, a lot of policymakers differentiate independent making decision at first , then go on on comprehensive appraisal finally according to every policymaker's decision result. Because the understanding of the same question of different policymakers have different hope, conflict each other and contradiction, how form whole partiality of colony according to each partiality of member, namely single utility function forms or the colony and has priority to concern colony's utility function from concerning singly and preferentially, and then arrange the order of the scheme, become the key of solving fuzzy multi- attribute group decision making.This text proposes two kinds of trading off type fuzzy group of decision methods, correspond to two kinds of different asking the idea of solving . One kind turns a group of decision question into a dictatorship decision question directly; Another kind divides a group of decision into several dictatorship decision questions. These two kinds of methods are each good and bad. Generally speaking, the former's whole precision is relatively high, can represent the unified will of the decision colony even more, but the one that may cause the question is not the line shape , thus increase the degree of difficulty of decision; The latter can keep the line shape nature of the question , the method is easy, but the sensitivity of decision is relatively low.At the end of this text, can not direct against completely a group of decision question of much attribute under information, have proposed a kind of new interactive algorithm. Algorithm this while personal utility information is integrated, combination importance index and consistency index of policymaker on can organic, make the integrated result reflect the thought and principle of a group of decision ; In the course of appraising, provide a new partiality index, when the policymaker can't offer more information, utilize it to establish the scheme and collect the whole preface relation on; The method revised in inspection and information which provide the integrated result, has guaranteed the realization of the interactive decision-making process.
Keywords/Search Tags:mass, consistency, individual preference
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