Consistency Indices in Analytic Hierarchy Process: A Review

被引：130

作者：

Pant, Sangeeta ^{[1
]}

Kumar, Anuj ^{[1
]}

Ram, Mangey ^{[2
,3
]}

Klochkov, Yury ^{[4
]}

Sharma, Hitesh Kumar ^{[5
]}

机构：

[1] Univ Petr & Energy Studies, Dept Math, Dehra Dun 248007, Uttarakhand, India

[2] Graph Era Deemed Univ, Dept Math, Dehra Dun 248002, Uttarakhand, India

[3] Peter Great St Petersburg Polytech Univ, Inst Adv Mfg Technol, St Petersburg 195251, Russia

[4] Peter Great St Petersburg Polytech Univ, Acad Dev Management, St Petersburg 195251, Russia

[5] Univ Petr & Energy Studies, Sch Comp Sci, Dehra Dun 248007, Uttarakhand, India

来源：

MATHEMATICS | 2022年 / 10卷 / 08期

关键词：

analytic hierarchy process (AHP); multi-criteria decision-making (MCDM); consistency measure; nature-inspired optimization technique; reliability optimization; POSITIVE RECIPROCAL MATRIX; WISE COMPARISON MATRIX; INCONSISTENCY INDEXES; PAIRWISE COMPARISONS; DECISION-MAKING; INDICATORS; RANKING; AXIOMATIZATION; DEFINITION; REDUCTION;

D O I：

10.3390/math10081206

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A well-regarded as well as powerful method named the 'analytic hierarchy process' (AHP) uses mathematics and psychology for making and analysing complex decisions. This article aims to present a brief review of the consistency measure of the judgments in AHP. Judgments should not be random or illogical. Several researchers have developed different consistency measures to identify the rationality of judgments. This article summarises the consistency measures which have been proposed so far in the literature. Moreover, this paper describes briefly the functional relationships established in the literature among the well-known consistency indices. At last, some thoughtful research directions that can be helpful in further research to develop and improve the performance of AHP are provided as well.

引用

页数：15

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