本文選題：猶豫模糊語(yǔ)言術(shù)語(yǔ)集 + 多屬性決策��； 參考：《南京師范大學(xué)》2017年碩士論文

【摘要】：猶豫模糊語(yǔ)言術(shù)語(yǔ)集(Hesitant fuzzy linguistic term set, HFLTS)是模糊語(yǔ)言的一種全新拓展,其取值是語(yǔ)言術(shù)語(yǔ)集上的一個(gè)有序連貫子集。與傳統(tǒng)的采用單個(gè)語(yǔ)言術(shù)語(yǔ)來(lái)表述語(yǔ)言變量的模糊語(yǔ)言法相比,猶豫模糊語(yǔ)言術(shù)語(yǔ)集的出現(xiàn)使得專家能夠采用更加豐富靈活的語(yǔ)言來(lái)表達(dá)他們的評(píng)估和想法,增強(qiáng)決策信息表達(dá)的可行性、靈活性和可信度。本文針對(duì)決策信息為猶豫模糊語(yǔ)言術(shù)語(yǔ)集的多屬性決策問(wèn)題展開(kāi)了深入研究,主要內(nèi)容如下:研究了猶豫模糊語(yǔ)言術(shù)語(yǔ)集的可能度比較公式。分析了現(xiàn)有的可能度公式存在的一些不足,在給出猶豫模糊語(yǔ)言可能度公理的基礎(chǔ)上,提出三類(lèi)猶豫模糊語(yǔ)言可能度比較公式:第一類(lèi)基于RL的五個(gè)等價(jià)猶豫模糊語(yǔ)言可能度公式;第二類(lèi)基于WNS的五個(gè)等價(jià)猶豫模糊語(yǔ)言可能度公式;第三類(lèi)基于概率可信度的猶豫模糊語(yǔ)言可能度公式。研究了猶豫模糊語(yǔ)言術(shù)語(yǔ)集的猶豫度和距離測(cè)度。猶豫模糊語(yǔ)言體現(xiàn)決策者評(píng)價(jià)結(jié)果的猶豫程度,然而,現(xiàn)有的猶豫模糊語(yǔ)言術(shù)語(yǔ)集的距離測(cè)度只考慮術(shù)語(yǔ)值的大小,沒(méi)有考慮到術(shù)語(yǔ)數(shù)量(猶豫度)的影響,為了合理表示猶豫模糊語(yǔ)言術(shù)語(yǔ)集之間的距離測(cè)度本文提出猶豫模糊語(yǔ)言的猶豫度概念,結(jié)合現(xiàn)有的距離測(cè)度,提出了更加合理的距離公式,減少了決策過(guò)程中原始信息的缺失。研究了猶豫模糊語(yǔ)言多屬性決策方法。針對(duì)屬性權(quán)重已知的多屬性決策問(wèn)題,給出了基于可能度的猶豫模糊語(yǔ)言多屬性決策方法;針對(duì)屬性權(quán)重未知的多屬性決策問(wèn)題,給出了猶豫模糊語(yǔ)言TOPSIS方法,并通過(guò)算例與其他方法的對(duì)比證明本文方法的有效性和合理性。
[Abstract]:Hesitant fuzzy linguistic term set, (Hesitant fuzzy linguistic term set, HFLTS) is a new extension of fuzzy language, and its value is an ordered coherent subset on the set of linguistic terms. Compared with the traditional fuzzy language method which uses a single language term to express the language variable, the emergence of the hesitant fuzzy language glossary enables experts to express their assessment and ideas in a more flexible language. Enhance the feasibility, flexibility and credibility of decision information representation. In this paper, the multi-attribute decision making problem in which the decision information is a set of hesitant fuzzy terms is studied. The main contents are as follows: the comparison formula of the possibility degree of the hesitant fuzzy linguistic terminology set is studied. In this paper, the shortcomings of the existing possible degree formulas are analyzed. On the basis of giving the axioms of the possibility degree of hesitant fuzzy language, Three kinds of comparison formulas for the possibility degree of hesitant fuzzy language are proposed: the first one is five equivalent formulas based on RL, the other is based on WNS, and the other is based on WNS. The third kind of possibility formula based on probabilistic credibility is indeterminate fuzzy language. This paper studies the measure of hesitancy and distance in the set of hesitant fuzzy terms. Hesitant fuzzy language reflects the degree of hesitation of the evaluation result of the decision maker. However, the distance measure of the existing hesitant fuzzy language terminology set only considers the size of the term value, and does not take into account the influence of the number of terms (hesitancy degree). In order to reasonably express the distance measure between hesitant fuzzy language terms, this paper presents the concept of hesitancy degree of hesitancy fuzzy language, combining with the existing distance measure, a more reasonable distance formula is proposed. Reduce the lack of original information in the decision-making process. The method of multi-attribute decision making in hesitant fuzzy language is studied. For the problem of multi-attribute decision making with known attribute weight, this paper presents a method of multi-attribute decision-making based on indecision fuzzy language based on degree of possibility, and gives a method of TOPSIS for multi-attribute decision making with unknown attribute weight. The validity and rationality of this method are proved by the comparison between the numerical examples and other methods.
【學(xué)位授予單位】：南京師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：O225

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本文編號(hào)：2081319