Pairwise Comparison Matrix in Multiple Criteria Decision Making

Kou, Gang; Ergu, Daji; Chen, Yang; Lin, Chang-Sheng

doi:10.3846/20294913.2016.1210694

Cited by 356 publications

(128 citation statements)

References 97 publications

Supporting

Mentioning

116

Contrasting

Order By: Relevance

“…In the AHP, a hierarchy considers the distribution of a goal among the elements being compared and judges which element has a greater influence on that goal [33,34]. The GRA is an impact evaluation model that measures the degree of similarity or difference between two sequences based on relation grade [35].…”

Section: Comparison With Other Mcdm Methodsmentioning

confidence: 99%

DEMATEL Technique: A Systematic Review of the State-of-the-Art Literature on Methodologies and Applications

You

Liu

et al. 2018

Mathematical Problems in Engineering

659

410

View full text Add to dashboard Cite

Decision making trial and evaluation laboratory (DEMATEL) is considered as an effective method for the identification of causeeffect chain components of a complex system. It deals with evaluating interdependent relationships among factors and finding the critical ones through a visual structural model. Over the recent decade, a large number of studies have been done on the application of DEMATEL and many different variants have been put forward in the literature. The objective of this study is to review systematically the methodologies and applications of the DEMATEL technique. We reviewed a total of 346 papers published from 2006 to 2016 in the international journals. According to the approaches used, these publications are grouped into five categories: classical DEMATEL, fuzzy DEMATEL, grey DEMATEL, analytical network process-(ANP-) DEMATEL, and other DEMATEL. All papers with respect to each category are summarized and analyzed, pointing out their implementing procedures, real applications, and crucial findings. This systematic and comprehensive review holds valuable insights for researchers and practitioners into using the DEMATEL in terms of indicating current research trends and potential directions for further research.

show abstract

Section: Comparison With Other Mcdm Methodsmentioning

confidence: 99%

DEMATEL Technique: A Systematic Review of the State-of-the-Art Literature on Methodologies and Applications

You

Liu

et al. 2018

Mathematical Problems in Engineering

659

410

View full text Add to dashboard Cite

show abstract

“…The results they produce for the same problem with identical criteria, values and weights are often different. Therefore, the question is: which of these methods is the best option for specific problems [39][40][41][42][43]. Attempts to determine the superior multiple criteria analysis method have always been a source of many arguments and endless debates.…”

Section: Rankmentioning

confidence: 99%

MCDM Assessment of a Healthy and Safe Built Environment According to Sustainable Development Principles: A Practical Neighborhood Approach in Vilnius

Zavadskas¹,

Cavallaro

Podvezko³

et al. 2017

Sustainability

View full text Add to dashboard Cite

Urbanization has a massive effect on the environment, both locally and globally. With an ever-increasing scale of construction and manufacturing and misuse of energy resources come poorer air quality, growing mortality rates and more rapid climate change. For these reasons, a healthy and safe built environment is ever more in demand. Global debates focus on sustainable development of the built environment; a rational approach to its analysis is multiple criteria decision making (MCDM) methods. Alternative MCDM methods applied to the same problem often produce different results. In the search for a more reliable tool, this study proposes that a system of MCDM methods should be applied to a single problem. This article assesses 21 neighborhoods in Vilnius in the context of a healthy and safe built environment in view of the principles of sustainable development. MCDM methods were used for this purpose: entropy, Criterion Impact LOSs (CILOS) and Integrated Determination of Objective Criteria Weights (IDOCRIW) methods were used to determine the objective weights of the criteria, while expert judgement determined the subjective weights. With the overall weights determined, the Vilnius neighborhoods were assessed through the application of COmplex PRoportional ASsessment (COPRAS), Simple Additive Weighting (SAW), Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) and Evaluation based on Distance from Average Solution (EDAS) methods. The final results were then processed using the rank average method, Borda count and Copeland's method.

show abstract

“…S V is the feasible region defined in (16). (26) and (27) can be simplified using the upper triangular elements in B, as follows:…”

Section: Deriving An Interval Utility Vector From An Ipommentioning

confidence: 99%

“…In recent years, various methods, such as utility additive method (UTA) [2], robust ordinal regression (ROR) [3], analytic hierarchy process (AHP) [4], analytic network process (ANP) [5], primitive cognitive network process (P-CNP) [6], step-wise weight assessment ratio analysis (SWARA) [7,8], weighted aggregated sum product assessment (WASPAS) [9], factor relationship (FARE) method [10], the visekriterijumska optimizacija i kompromisno resenje (VIKOR) method [11], the characteristic objects method (COMET) [12], and COMET with hesitant fuzzy sets (HFS COMET) [13,14] have been proposed to handle MADM problems. Among these methods, AHP has been increasingly studied by plenty of researchers and applied in various applications due to its simplicity and practicability [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

The Interval Cognitive Network Process for Multi-Attribute Decision-Making

Yin

Cheng

et al. 2017

Symmetry

View full text Add to dashboard Cite

Aiming at combining the good characteristics of a differential scale in representing human cognition and the favorable properties of interval judgments in expressing decision-makers' uncertainty, this paper proposes the interval cognitive network process (I-CNP) to extend the primitive cognition network process (P-CNP) to handle interval judgments. The key points of I-CNP include a consistency definition for an interval pairwise opposite matrix (IPOM) and a method to derive interval utilities from an IPOM. This paper defines a feasible region-based consistency definition and a transitivity based consistency definition for an IPOM. Both of the two definitions are equivalent to the consistency definition for a crisp pairwise opposite matrix (POM) when an IPOM is reduced to a POM. Two methods that are able to derive interval utilities from both consistent and inconsistent IPOMs are developed based on the two definitions. Four numerical examples are used to illustrate the proposed methods and to compare I-CNP to interval analytic hierarchy process (IAHP). The results show that I-CNP reflects the decision-makers' cognition better, and that the suggestions provided by I-CNP are more convincing. I-CNP provides new useful alternative tools for multi-attribute decision-making problems.

show abstract

Pairwise Comparison Matrix in Multiple Criteria Decision Making

Cited by 356 publications

References 97 publications

DEMATEL Technique: A Systematic Review of the State-of-the-Art Literature on Methodologies and Applications

DEMATEL Technique: A Systematic Review of the State-of-the-Art Literature on Methodologies and Applications

MCDM Assessment of a Healthy and Safe Built Environment According to Sustainable Development Principles: A Practical Neighborhood Approach in Vilnius

The Interval Cognitive Network Process for Multi-Attribute Decision-Making

Contact Info

Product

Resources

About