2-tuple語言直覺模糊多屬性決策方法研究
發(fā)布時(shí)間：2018-07-25 17:50
【摘要】：多屬性決策主要研究有限個(gè)決策方案關(guān)于離散評估值的決策問題,一般是指多個(gè)專家利用現(xiàn)有的決策信息,通過共同決策分析,對可供選擇的備選方案進(jìn)行排序或擇優(yōu)。由于實(shí)際決策問題的復(fù)雜性、不精確性以及人類思維的含糊性,決策者很難給出精確的評估值,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,直覺模糊集從“屬于”、“不屬于”和“猶豫”三個(gè)方面對不確定問題進(jìn)行評估,能更加深刻地描述客觀對象的模糊本質(zhì)。對定性屬性,決策者對于“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言給出評價(jià)信息。作為語言表示方法中的一種,2-tuple語言直覺模糊集(2TLIFSs)結(jié)合了2-tuple語言值和直覺模糊數(shù)的優(yōu)點(diǎn),由語言值隸屬度和語言值非隸屬度構(gòu)成。本文主要針對2-tuple語言直覺模糊集多屬性群決策問題進(jìn)行探討,主要內(nèi)容如下:(1)結(jié)合2-tuple語言直覺模糊集與語言冪均(LPA)算子,提出語言直覺模糊冪均(LIFPA)算子并將之應(yīng)用于語言直覺模糊環(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語言直覺模糊集的支持度,定義了2-tuple語言直覺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,提出語言直覺模糊有序加權(quán)冪均(LIFPOWA)算子并將之應(yīng)用于語言直覺模糊環(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語言直覺模糊理想點(diǎn)法(TOPSIS)。為了得到方案與正負(fù)理想解的距離,定義了2-tuple語言直覺模糊決策矩陣以及兩個(gè)2-tuple語言直覺模糊矩陣之間的海明距離。并與語言偏好信息下的TOPSIS方法進(jìn)行實(shí)例對比分析。(4)提出基于多粒度語言直覺模糊集的TOPSIS決策方法。為了能有效處理多粒度語言評價(jià)信息,給出多粒度語言直覺模糊集的轉(zhuǎn)換方法。并與基于不確定語言變量的TOPSIS法進(jìn)行實(shí)例對比分析。
[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)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O159;O225
本文編號：2144575
[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)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O159;O225
【參考文獻(xiàn)】
相關(guān)期刊論文 前1條
1 胡輝;徐澤水;;基于TOPSIS的區(qū)間直覺模糊多屬性決策法[J];模糊系統(tǒng)與數(shù)學(xué);2007年05期
相關(guān)碩士學(xué)位論文 前1條
1 丁曉陽;基于直覺模糊集的多屬性群決策方法及其應(yīng)用[D];海南師范大學(xué);2013年
，本文編號：2144575
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