Z-AHP:模糊层次分析法的z数扩展

A. Azadeh, Morteza Saberi, N. Z. Atashbar, Elizabeth Chang, P. Pazhoheshfar
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引用次数: 85

摘要

不确定环境下的层次分析法(AHP)仍然是一个有待解决的问题。本研究的目的是提出一种新的基于z数的层次分析法。首先,考虑z数。Zadeh[1]提出了一个概念,即z数,它是模糊数(a, B)的阶对,其中第一分量a起模糊约束作用,第二分量B是第一分量的可靠度。它是一个新的概念,更能描述人类的知识,将广泛应用于不确定的信息处理中[2,3]。其次,提出了一种新的基于z数的层次分析法来处理语言决策问题。最后,运用z数层次分析法(Z-number- ahp)建立了最佳大学评价标准的搜索模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Z-AHP: A Z-number extension of fuzzy analytical hierarchy process
Analytical Hierarchy Process (AHP) under uncertain environment is still an open issue. The objective of this study is to propose a new AHP method based on Z-number. First, Z-number are taken into consideration. Zadeh [1] proposed a notion, namely Z-number, which is an order pair of fuzzy numbers (A, B). The first component, A, plays the role of a fuzzy restriction and the second component B is a reliability of the first component. It is new concept which has more power to describe the knowledge of human being and will be widely used in the uncertain information process [2, 3]. Second, a new AHP method based on Z-number is proposed to deal with linguistic decision making problems. Finally, by Z-number analytical hierarchy process (Z-number-AHP) a model is developed to search the criteria's for the evaluation of best universities.
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