本文選題：多屬性決策 + 區(qū)間數(shù)　； 參考：《曲阜師范大學(xué)》2011年碩士論文

【摘要】：多屬性決策是現(xiàn)代決策科學(xué)的重要分支,其理論與方法在經(jīng)濟(jì)、管理、工程和軍事等諸多領(lǐng)域都有著廣泛的應(yīng)用.在實(shí)際決策中,由于客觀事物的復(fù)雜性、不確定性以及人類思維的模糊性,決策信息往往以區(qū)間數(shù)的形式給出.本文主要研究基于集結(jié)算子的區(qū)間多屬性決策方法,共分三章. 第一章,介紹了區(qū)間數(shù)信息集結(jié)算子和區(qū)間多屬性決策問題的研究背景、發(fā)展現(xiàn)狀以及本文的主要研究成果. 第二章,研究基于優(yōu)先集結(jié)算子的區(qū)間多屬性決策方法.首先定義了三種優(yōu)先集結(jié)算子：優(yōu)先不確定有序加權(quán)平均(PUOWA)算子、優(yōu)先有序加權(quán)的C-OWA (POWC-OWA)算子和優(yōu)先有序加權(quán)C-OWG (POWC-OWG)算子,并研究了其性質(zhì).把這些算子應(yīng)用于屬性權(quán)重完全未知且屬性值以區(qū)間數(shù)形式給出的多屬性決策問題,提出了兩種屬性問有優(yōu)先級(jí)別關(guān)系的區(qū)間多屬性決策方法.最后通過實(shí)例說明了所提方法的有效性和實(shí)用性. 第三章.研究基于拓展的Bonferroni平均算子的區(qū)間多屬性決策方法.首先提出了三種拓展的Bonferroni平均算子：區(qū)間Bonferroni平均(IBM)算子、Bonferroni不確定有序加權(quán)平均(BON-UOWA)算子、加權(quán)BON-UOWA(WBON- UOWA)算子,并討論了其性質(zhì).基于WBON-UOWA算子,提出屬性值為區(qū)間數(shù)的多屬性決策方法.并進(jìn)行了實(shí)例分析.
[Abstract]:Multi-attribute decision making is an important branch of modern decision-making science. Its theory and methods are widely used in many fields such as economy, management, engineering and military. Because of the complexity of objective things, uncertainty and the fuzziness of human thinking, the decision information is often given in the form of interval numbers. In this paper, the method of interval multiple attribute decision making based on aggregation operator is studied, which is divided into three chapters. In the first chapter, we introduce the research background of interval number information aggregation operator and interval multiple attribute decision making problem, the development status and the main research results of this paper. In chapter 2, the interval multiple attribute decision making method based on priority aggregation operator is studied. In this paper, we first define three kinds of priority aggregation operators: the first uncertain ordered weighted average (PUOWA) operator, the first ordered weighted C-OWA POWC-OWA-operator, and the first ordered weighted C-OWG POWC-OWG-based operator. The properties of the operator are studied. These operators are applied to the multi-attribute decision making problems in which the attribute weights are completely unknown and the attribute values are given in the form of interval numbers. Two kinds of interval multi-attribute decision making methods with priority relation between attributes are proposed. Finally, an example is given to illustrate the effectiveness and practicability of the proposed method. Chapter III The interval multiple attribute decision making method based on extended Bonferroni average operator is studied. In this paper, three extended Bonferroni averaging operators: interval Bonferroni mean Bonferroni averaging operator and weighted BON-UOWAA operator, weighted BON-UOWAA operator are proposed, and their properties are discussed. Based on WBON-UOWA operator, a multi-attribute decision making method with interval number of attribute values is proposed. An example is given.
【學(xué)位授予單位】：曲阜師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2011
【分類號(hào)】：C934

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