【摘要】：多屬性決策主要研究有限個(gè)決策方案關(guān)于離散評(píng)估值的決策問(wèn)題,一般是指多個(gè)專(zhuān)家利用現(xiàn)有的決策信息,通過(guò)共同決策分析,對(duì)可供選擇的備選方案進(jìn)行排序或擇優(yōu)。由于實(shí)際決策問(wèn)題的復(fù)雜性、不精確性以及人類(lèi)思維的含糊性,決策者很難給出精確的評(píng)估值,因此人們提出許多不確定多屬性決策方法。模糊多屬性決策是經(jīng)典多屬性決策在理論上的拓展和延伸,是不確定多屬性決策的一個(gè)重要組成部分,已廣泛應(yīng)用于資源管理、采購(gòu)與外包、供應(yīng)商選擇、技術(shù)選擇等各個(gè)領(lǐng)域。作為模糊集的推廣,直覺(jué)模糊集從“屬于”、“不屬于”和“猶豫”三個(gè)方面對(duì)不確定問(wèn)題進(jìn)行評(píng)估,能更加深刻地描述客觀對(duì)象的模糊本質(zhì)。對(duì)定性屬性,決策者對(duì)于“屬于”、“不屬于”很難給出精確值,通常是使用粗糙或不精確的語(yǔ)言給出評(píng)價(jià)信息。作為語(yǔ)言表示方法中的一種,2-tuple語(yǔ)言直覺(jué)模糊集(2TLIFSs)結(jié)合了2-tuple語(yǔ)言值和直覺(jué)模糊數(shù)的優(yōu)點(diǎn),由語(yǔ)言值隸屬度和語(yǔ)言值非隸屬度構(gòu)成。本文主要針對(duì)2-tuple語(yǔ)言直覺(jué)模糊集多屬性群決策問(wèn)題進(jìn)行探討,主要內(nèi)容如下:(1)結(jié)合2-tuple語(yǔ)言直覺(jué)模糊集與語(yǔ)言?xún)缇?LPA)算子,提出語(yǔ)言直覺(jué)模糊冪均(LIFPA)算子并將之應(yīng)用于語(yǔ)言直覺(jué)模糊環(huán)境下決策者權(quán)重已知的多屬性群決策。為了得到LIFPA算子中兩個(gè)2-tuple語(yǔ)言直覺(jué)模糊集的支持度,定義了2-tuple語(yǔ)言直覺(jué)模糊集之間的海明距離。并證明了該算子具有交換性、有界性和冪等性。(2)基于LIFPA算子和OWA算子,提出語(yǔ)言直覺(jué)模糊有序加權(quán)冪均(LIFPOWA)算子并將之應(yīng)用于語(yǔ)言直覺(jué)模糊環(huán)境下決策者權(quán)重未知的多屬性群決策。證明了該算子具有交換性、有界性和冪等性。(3)提出2-tuple語(yǔ)言直覺(jué)模糊理想點(diǎn)法(TOPSIS)。為了得到方案與正負(fù)理想解的距離,定義了2-tuple語(yǔ)言直覺(jué)模糊決策矩陣以及兩個(gè)2-tuple語(yǔ)言直覺(jué)模糊矩陣之間的海明距離。并與語(yǔ)言偏好信息下的TOPSIS方法進(jìn)行實(shí)例對(duì)比分析。(4)提出基于多粒度語(yǔ)言直覺(jué)模糊集的TOPSIS決策方法。為了能有效處理多粒度語(yǔ)言評(píng)價(jià)信息,給出多粒度語(yǔ)言直覺(jué)模糊集的轉(zhuǎn)換方法。并與基于不確定語(yǔ)言變量的TOPSIS法進(jìn)行實(shí)例對(duì)比分析。
[Abstract]:Multi-attribute decision making is mainly concerned with the decision problem of discrete evaluation values for finite decision schemes. It is generally referred to that multiple experts make use of the existing decision information and analyze the common decision to sort or select the alternatives available for decision making. Due to the complexity, imprecision and ambiguity of human thinking, it is difficult for decision makers to give accurate evaluation values, so many uncertain multi-attribute decision making methods are proposed. Fuzzy multi-attribute decision making is an extension and extension of classical multi-attribute decision making in theory. It is an important part of uncertain multi-attribute decision making. It has been widely used in resource management, procurement and outsourcing, supplier selection. Technical selection and other fields. As a generalization of fuzzy sets, intuitionistic fuzzy sets evaluate uncertainty from three aspects: "belonging", "not belonging" and "hesitancy", which can describe the fuzzy essence of objective objects more deeply. For qualitative attributes, it is difficult for decision-makers to give accurate values for "belong" and "not belong", usually using rough or imprecise language to give evaluation information. As a linguistic representation method, the 2-tuple intuitionistic fuzzy set (2TLIFSs) combines the advantages of 2-tuple and intuitionistic fuzzy numbers, and consists of linguistic value membership degree and language value non-membership degree. This paper mainly discusses the problem of 2-tuple language intuitionistic fuzzy set multi-attribute group decision making. The main contents are as follows: (1) combined with 2-tuple language intuitionistic fuzzy set and (LPA) operator, A linguistic intuitionistic fuzzy power-average (LIFPA) operator is proposed and applied to the multi-attribute group decision making in which the weight of the decision-maker is known in the linguistic intuitionistic fuzzy environment. In order to obtain the support degree of two 2-tuple intuitionistic fuzzy sets in LIFPA operator, the hamming distance between 2-tuple intuitionistic fuzzy sets is defined. It is proved that the operator is commutative, bounded and idempotent. (2) based on LIFPA operator and OWA operator, This paper presents a linguistic intuitionistic fuzzy ordered weighted equal-power (LIFPOWA) operator and applies it to multi-attribute group decision making with unknown weights for decision makers in linguistic intuitionistic fuzzy environments. It is proved that the operator has commutativity, boundedness and idempotent. (3) the intuitionistic fuzzy ideal point method (TOPSIS). For 2-tuple language is proposed. In order to obtain the distance between the positive and negative ideal solutions, the 2-tuple language intuitionistic fuzzy decision matrix and the hamming distance between two 2-tuple language intuitionistic fuzzy matrices are defined. The method is compared with the TOPSIS method based on linguistic preference information. (4) the TOPSIS decision making method based on multi-granularity language intuitionistic fuzzy sets is proposed. In order to deal with the evaluation information of multi-granularity language effectively, the transformation method of intuitionistic fuzzy set of multi-granularity language is presented. And compared with the TOPSIS method based on uncertain language variables.
【學(xué)位授予單位】：西華大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：O159;O225

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本文編號(hào)：2144575