基于區(qū)間猶豫模糊語(yǔ)言評(píng)價(jià)的多屬性決策方法及其應(yīng)用

摘要： 對(duì)于多屬性決策問(wèn)題,文章結(jié)合現(xiàn)實(shí)群決策過(guò)程,定義了標(biāo)準(zhǔn)化區(qū)間猶豫模糊語(yǔ)言數(shù)以及區(qū)間猶豫模糊語(yǔ)言數(shù)向量的概念,修正了已有文獻(xiàn)中區(qū)間猶豫模糊語(yǔ)言數(shù)的得分函數(shù)和精確函數(shù)計(jì)算公式。在此基礎(chǔ)上,構(gòu)建了區(qū)間猶豫模糊語(yǔ)言數(shù)向量之間的距離測(cè)度,并運(yùn)用多屬性決策中常用的TOPSIS方法思想,建立了基于區(qū)間猶豫模糊語(yǔ)言評(píng)價(jià)的多屬性決策模型,簡(jiǎn)化了現(xiàn)有文獻(xiàn)中構(gòu)建PA聚合算子的決策計(jì)算過(guò)程。通過(guò)對(duì)現(xiàn)有文獻(xiàn)中同一問(wèn)題及其數(shù)據(jù)的計(jì)算,驗(yàn)證了方法的有效性和可行性。
For the problems concerning multi-attribute decision-making, this paper combines with the realistic group decision making process to define the concept of standardized interval-valued hesitation fuzzy linguistic number and interval-valued hesitation fuzzy linguistic number vector(IVHFLNV), and then corrects the scoring function and exact function formula of interval-valued hesitation fuzzy linguistic number in the existing literature. On this basis is constructed the distance measure between IVHFLNVs. The TOPSIS method commonly used in multi-attribute decision making, is applied to establish a multi-attribute decision making model based on interval-valued hesitation fuzzy language evaluation so as to simplify the decision-making process of constructing PA aggregation operator in the existing literature. Finally the paper verifies the validity and feasibility of the method by calculating the same problem and its data in the existing literature.