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基于一致性的不確定決策問題研究

發(fā)布時間:2018-06-30 07:00

  本文選題:語言 + 猶豫模糊語言。 參考:《沈陽工業(yè)大學》2017年碩士論文


【摘要】:在決策問題中,決策者通常采用一些標準對決策方案集進行兩兩比較并將比較結果構造成偏好關系。同時,偏好關系的一致性會對決策方案最終排序的合理性產生直接影響,缺少一致性則會得出不符合邏輯的結果。因此,決策過程中檢驗偏好關系的一致性非常必要。本文主要研究模糊偏好關系、直覺模糊偏好關系、猶豫模糊偏好關系、雙猶豫模糊偏好關系、語言偏好關系以及猶豫模糊語言偏好關系的乘性一致性,以及基于可接受一致性的偏好關系的決策方法。首先,介紹了決策問題、不確定信息的定義和不確定偏好關系一致性研究的背景、現狀以及意義。其次,基于雙猶豫模糊集的概念,提出雙猶豫模糊偏好關系的概念。隨后,針對直覺偏好關系的一致性測量,提出標準化的直覺模糊偏好關系概念并給出直覺模糊偏好關系乘性一致性測量方法。在詳細分析不同的偏好關系的特點后本文提出分割方法,該方法可將雙猶豫模糊偏好關系轉化為直覺模糊偏好關系同時也可將猶豫模糊語言偏好關系轉化為模糊偏好關系。針對互補模糊信息下的決策問題,為簡化互補模糊信息的一致性測量過程,介紹了導出矩陣,該矩陣將互補偏好關系轉化為互反偏好關系。針對提出的一致性測量方法,均通過具體算例給出方案排序。最后,歸納總結全文,指出當前的工作重點以及以后工作的研究方向。
[Abstract]:In the decision making problem, the decision makers usually use some criteria to make a pairwise comparison of the decision plan sets and construct a preference relation. At the same time, the consistency of preference relationship will have a direct impact on the rationality of the final ranking of decision plans, and the lack of consistency will result in illogical results. Therefore, it is necessary to test the consistency of preference relationship in the process of decision-making. This paper mainly studies the multiplicative consistency of fuzzy preference relation, intuitionistic fuzzy preference relationship, hesitant fuzzy preference relationship, double hesitant fuzzy preference relationship, language preference relationship and hesitant fuzzy linguistic preference relationship. And the decision method based on acceptable consistency preference relationship. Firstly, the background, current situation and significance of the research on the definition of uncertain information and the consistency of uncertain preference relations are introduced. Secondly, based on the concept of double hesitation fuzzy set, the concept of double hesitation fuzzy preference relation is proposed. Then, aiming at the consistency measurement of intuitionistic preference relationship, a standardized concept of intuitionistic fuzzy preference relation is proposed and the multiplicative consistency measurement method of intuitionistic fuzzy preference relation is given. After analyzing the characteristics of different preference relationships in detail, this paper proposes a segmentation method, which can transform the double hesitant fuzzy preference relationship into the intuitionistic fuzzy preference relationship, and also transform the hesitant fuzzy language preference relationship into the fuzzy preference relationship. In order to simplify the consistency measurement process of complementary fuzzy information, the derived matrix is introduced, which transforms the complementary preference relationship into reciprocal preference relation. According to the proposed consistency measurement methods, the order of schemes is given through concrete examples. At last, it summarizes the whole paper, and points out the focus of the current work and the research direction in the future.
【學位授予單位】:沈陽工業(yè)大學
【學位級別】:碩士
【學位授予年份】:2017
【分類號】:O225

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相關碩士學位論文 前1條

1 養(yǎng)園園;基于一致性的不確定決策問題研究[D];沈陽工業(yè)大學;2017年

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本文編號:2085419

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