本文選題：猶豫模糊集 + 序關(guān)系��； 參考：《廣西大學(xué)》2017年碩士論文

【摘要】：多屬性決策問題普遍存在于社會生活的各個方面,它不僅包含國家戰(zhàn)略性的決策,如中國的南水北調(diào)、修建三峽大壩等;還涵蓋人們的日常安排,如旅行計劃、理財產(chǎn)品的選擇等.多屬性決策問題的目的是根據(jù)決策信息從多個具備相同屬性的方案中選擇出最佳方案.由于決策問題、決策環(huán)境的復(fù)雜性和人類思維的模糊性,決策者通常采用區(qū)間數(shù)、三角模糊數(shù)、梯形模糊數(shù)、直覺模糊數(shù)、猶豫模糊集等來描述不確定決策信息.而猶豫模糊集描述猶豫不決情形下的不確定決策信息具有優(yōu)勢,能反映真實的決策情形,因此,本文對猶豫模糊環(huán)境下的多屬性決策方法的研究具有重要的理論意義和實際意義.主要內(nèi)容如下:(1)猶豫模糊集的序關(guān)系是根據(jù)猶豫模糊信息進行決策的關(guān)鍵.本文從猶豫模糊集的序關(guān)系入手,分析現(xiàn)有序關(guān)系下的決策技術(shù)存在的缺陷,包括缺乏柔性、決策信息丟失等.為了克服這些缺陷,本文重新構(gòu)建了猶豫模糊集之間的序關(guān)系——可能度和優(yōu)先度,并研究其具備的性質(zhì),包括規(guī)范性、互補性、弱傳遞性等.新的序關(guān)系能夠盡可能的保持決策信息的完整性,避免決策信息丟失.(2)基于本文提出的猶豫模糊集序關(guān)系(可能度和優(yōu)先度),研究了猶豫模糊環(huán)境下的多屬性決策模型,并將基于本文提出的序關(guān)系下的多屬性決策方法與傳統(tǒng)決策技術(shù)進行比較,論證其有效性與合理性.(3)在猶豫模糊語言環(huán)境中,本文構(gòu)造了一類新的猶豫模糊語言術(shù)語集的距離測度,并相應(yīng)地拓展出了猶豫模糊語言術(shù)語間序關(guān)系構(gòu)造模型,包括 Hamming、Euclidean 和 Hausdorff 等距離測度.本文對猶豫模糊環(huán)境下的多屬性決策方法研究將有利于完善多屬性決策理論,豐富不確定決策的理論與方法.
[Abstract]:The problem of multi-attribute decision-making is common in all aspects of social life. It includes not only the strategic decisions of the country, such as the South-to-North Water transfer in China, the construction of the three Gorges Dam, and so on; it also covers people's daily arrangements, such as travel plans. Selection of financial products, etc. The purpose of multi-attribute decision making problem is to select the best scheme from many schemes with the same attributes according to the decision information. Due to the decision problems, the complexity of the decision-making environment and the fuzziness of human thinking, decision makers usually use interval numbers, triangular fuzzy numbers, trapezoidal fuzzy numbers, intuitionistic fuzzy numbers, hesitant fuzzy sets to describe uncertain decision information. And the uncertain decision information in the case of indecision is described by the hesitant fuzzy set, which has the advantage of reflecting the real decision situation, so, This paper is of great theoretical and practical significance to the study of multi-attribute decision making in uncertain fuzzy environment. The main contents are as follows: (1) the order relation of the hesitant fuzzy set is the key to the decision based on the hesitant fuzzy information. Starting with the order relation of hesitant fuzzy sets, this paper analyzes the shortcomings of the existing decision technology under the order relation, including the lack of flexibility, the loss of decision information, and so on. In order to overcome these defects, this paper reconstructs the order relation between hesitant fuzzy sets-possibility degree and priority degree, and studies its properties, including normative, complementary, weak transitivity and so on. The new order relation can keep the integrity of decision information as far as possible and avoid the loss of decision information. (2) based on the order relation (possibility degree and priority degree) proposed in this paper, the multi-attribute decision making model in hesitating fuzzy environment is studied. In this paper, the method of multi-attribute decision making based on the order relation is compared with the traditional decision making technology to prove its validity and rationality. (3) in the environment of hesitant fuzzy language, In this paper, we construct a class of distance measures for a new set of hesitant fuzzy language terms, and accordingly extend the model of order relation between hesitant fuzzy language terms, including Hammingli Euclidean and Hausdorff isometric measures. In this paper, the study of multi-attribute decision making method in hesitant fuzzy environment will be helpful to perfect the theory of multi-attribute decision making and enrich the theory and method of uncertain decision making.
【學(xué)位授予單位】：廣西大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O159;O225

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