本文選題：群體多目標(biāo)決策 + 綜合有效數(shù)　； 參考：《溫州大學(xué)》2015年碩士論文

【摘要】：群體多目標(biāo)決策是群體決策和多目標(biāo)規(guī)劃相交叉的一個(gè)新領(lǐng)域,它的理論和方法在現(xiàn)代社會(huì)的復(fù)雜決策問題中有著廣泛的應(yīng)用前景。本文首先簡要介紹群體多目標(biāo)決策有關(guān)問題的形成背景與研究現(xiàn)狀;然后引入群體多目標(biāo)決策問題供選方案的較多聯(lián)合綜合有效解類,并研究了這類解存在的必要條件和充分條件,進(jìn)一步證明了這類解的幾何特性;接著,定義了群體多目標(biāo)決策問題綜合有效偏愛的概念,并得到從個(gè)體偏愛到群體偏愛的綜合有效映射,基于映射的一些基本性質(zhì),給出了群體多目標(biāo)決策問題的綜合有效排序方法;最后深入到字典序意義下群體多目標(biāo)決策問題的強(qiáng)-弱較多綜合有效解的研究,也獲得了群體多目標(biāo)決策問題的相關(guān)理論和性質(zhì)。
[Abstract]:Group multi-objective decision making is a new field where group decision-making and multi-objective programming are intersected. Its theory and method have a wide application prospect in complex decision-making problems in modern society. In this paper, the background and research status of the problems related to group multi-objective decision making are briefly introduced, and then the more joint comprehensive efficient solutions of group multi-objective decision making problems are introduced. The necessary and sufficient conditions for the existence of such solutions are studied, the geometric properties of such solutions are further proved, and the concept of comprehensive effective preference for group multi-objective decision problems is defined. The synthetic efficient mapping from individual preference to group preference is obtained. Based on some basic properties of mapping, a comprehensive efficient ranking method for group multi-objective decision making problem is given. Finally, in the sense of dictionary order, we deeply study the strong and weak multi-objective decision making problem, and obtain the relevant theory and properties of the group multi-objective decision making problem.
【學(xué)位授予單位】：溫州大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：O225

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本文編號(hào)：2058175