本文關(guān)鍵詞： 動態(tài)雙極值模糊軟集 對數(shù)增長模型 雙極值模糊信息熵 雙極值信息系統(tǒng) 二粒度　出處：《安徽大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

【摘要】：為描述和解決實際問題中存在的不確定性和模糊性,概率論、模糊集、粗糙集、軟集等理論引起了學(xué)者的廣泛關(guān)注,并得到了很好的發(fā)展,且廣泛應(yīng)用于金融、醫(yī)療等領(lǐng)域,但是大部分的研究成果還是基于靜態(tài)的.可是,在實際生活中,信息值是動態(tài)變化的,所以本文在模糊集和粗糙集的基礎(chǔ)上,研究了動態(tài)雙極值模糊軟集以及時間權(quán)重的確定方法和優(yōu)勢關(guān)系下的雙極值粗糙模型等問題,主要工作如下：(1)介紹了模糊集、軟集、雙極值模糊集的發(fā)展過程以及將時間引入直覺模糊集得到的理論成果,同時介紹了基于粗糙集模型在國內(nèi)外的研究成果.(2)介紹了模糊集、軟集、雙極值模糊集等理論的基本概念,討論了在實際問題中決策信息值隨時間變化的情況,定義了動態(tài)雙極值模糊軟集,討論了相關(guān)運算及性質(zhì).為了反映時間的作用,從兩個方向出發(fā)研究動態(tài)的時間對決策問題的影響,并把這種影響轉(zhuǎn)化為權(quán)重的方式引入到?jīng)Q策問題中.通過這兩種量化時間權(quán)重的方法,然后利用集成算子將動態(tài)的雙極值模糊軟集集成為綜合雙極值模糊軟集,最后根據(jù)水平軟集思想確定最終決策結(jié)果,并給出實例說明.(3)在優(yōu)勢關(guān)系下的粗糙集和區(qū)間值信息系統(tǒng)理論的基礎(chǔ)上,定義了雙極值信息系統(tǒng),然后將優(yōu)勢關(guān)系引入雙極值信息系統(tǒng)中,依據(jù)粒計算和屬性類別理論,將單粒度下的粗糙集推廣到二粒度下的粗糙集,并定義了二粒度下的優(yōu)勢度公式,再集成得到綜合優(yōu)勢度,最后通過比較綜合優(yōu)勢度確定最優(yōu)決策.
[Abstract]:In order to describe and solve the uncertainty and fuzziness existing in practical problems, the theories of probability theory, fuzzy set, rough set, soft set and so on have attracted wide attention of scholars, and have been well developed and widely used in finance. Medical and other fields, but most of the research results are still based on static. However, in real life, the value of information is dynamic, so this paper based on fuzzy sets and rough sets. The dynamic double extreme fuzzy soft set, the method of determining the time weight and the dual extreme rough model are studied. The main work is as follows: 1) the fuzzy set and the soft set are introduced. The development process of double extreme fuzzy sets and the theoretical results of introducing time into intuitionistic fuzzy sets are introduced. At the same time, fuzzy sets and soft sets based on rough set model are introduced. The basic concepts of the theory of double extremum fuzzy set are discussed. The change of decision information value with time in practical problems is discussed, and the dynamic double extreme fuzzy soft set is defined. In order to reflect the effect of time, the influence of dynamic time on decision making is studied from two directions. Through these two methods of quantifying the weight of time, the dynamic double extremum fuzzy soft set is transformed into a comprehensive double extreme fuzzy soft set by using the integration operator. Finally, the final decision result is determined according to the idea of level soft set, and an example is given to illustrate that based on the theory of rough set and interval value information system under advantage relationship, the double extreme value information system is defined. Then the advantage relation is introduced into the double extremum information system. According to the granular calculation and attribute category theory, the rough set under the single granularity is extended to the rough set under the two granularity, and the dominance formula under the two granularity is defined. The comprehensive dominance degree is obtained by integration, and the optimal decision is determined by comparing the comprehensive dominance degree.
【學(xué)位授予單位】：安徽大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：O159

【參考文獻】

相關(guān)期刊論文 前3條

1 邱旭琴;魏立力;;優(yōu)勢關(guān)系下隨機信息系統(tǒng)的屬性約簡[J];計算機工程與應(yīng)用;2011年02期

2 楊文華;李生剛;;雙極值模糊軟集[J];計算機工程與應(yīng)用;2012年35期

3 楊青山;王國胤;張清華;馬希驁;;基于優(yōu)勢關(guān)系的區(qū)間值粗糙集擴充模型[J];山東大學(xué)學(xué)報(理學(xué)版);2010年09期

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本文編號：1473023