發(fā)布時間：2019-02-26 20:53

【摘要】：粗糙集理論是解決含有不完備性信息問題的重要理論知識,粗糙集模型的推廣程度對于處理不確定性信息問題起到關(guān)鍵作用。為此,本文從下面三個角度對模型進行研究:1.有關(guān)覆蓋的粗糙集模型的研究已經(jīng)取得較為豐富的成果,本文以覆蓋粗糙模糊集模型為基礎(chǔ),將模型從單個論域推廣至雙論域上進行研究,并且討論了所提出新模型的算子性質(zhì),從而推廣和豐富了有關(guān)覆蓋的粗糙集模型體系。2.基于粗糙集與模糊集相結(jié)合的模型,并且在知識集和被近似集同時都是模糊的情況下,提出新的模型。具體是先將論域進行模糊劃分得到相應(yīng)的模糊知識集,然后結(jié)合模糊貼近度的概念提出新的粗糙集模型,并對模型的有關(guān)算子的性質(zhì)進行了研究,最后舉例說明新建立模型在實際生活中的運用。3.處理具有不完備性的信息系統(tǒng)是粗糙集應(yīng)用的主要內(nèi)容之一,而在不同關(guān)系下,將粗糙集模型進行推廣,對于解決問題起到關(guān)鍵作用。本文根據(jù)一種改進的限制容差關(guān)系,建立了一種新的多粒度粗糙集模型,并對該模型算子的相關(guān)性質(zhì)進行了討論,而且研究了新建立模型與基于以上三種關(guān)系模型的內(nèi)在關(guān)系,最后通過處理不完備信息表說明了新建立模型的優(yōu)點。
[Abstract]:Rough set theory is an important theoretical knowledge to solve problems with incomplete information. The generalization of rough set model plays a key role in dealing with uncertain information problems. To this end, this paper studies the model from the following three perspectives: 1. The research on covered rough set model has achieved a lot of achievements. Based on the covered rough fuzzy set model, this paper extends the model from a single universe to a double universe. Furthermore, the operator properties of the proposed new model are discussed, which generalizes and enriches the covering rough set model system. Based on the combination of rough set and fuzzy set, a new model is proposed when both the knowledge set and the approximate set are fuzzy at the same time. Firstly, the fuzzy domain is divided into corresponding fuzzy knowledge sets, and then a new rough set model is proposed based on the concept of fuzzy closeness, and the properties of the operators of the model are studied. Finally, an example is given to illustrate the application of the new model in real life. 3. The processing of incomplete information system is one of the main contents of rough set application. Under different relations, the extension of rough set model plays a key role in solving the problem. In this paper, a new multi-granularity rough set model is established based on an improved restricted tolerance relation, and the related properties of the operator of the model are discussed. Furthermore, the intrinsic relationship between the new model and the model based on the above three relations is studied. Finally, the advantages of the new model are illustrated by dealing with incomplete information tables.
【學(xué)位授予單位】：電子科技大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TP18

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本文編號：2431136