A fuzzy extension of Saaty's priority theory

Laarhoven, Peter J. M. van; Pedrycz, Witold

doi:10.1016/s0165-0114(83)80082-7

Cited by 2,220 publications

(919 citation statements)

References 4 publications

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“…For instance, a literature review for AHP can be made with respect to the used methods, i.e. the papers using Laarhoven and Pedrycz's fuzzy AHP [126], the papers using Buckley's fuzzy AHP [127], and the papers using Chang's fuzzy AHP [128].…”

Section: Discussionmentioning

confidence: 99%

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Fuzzy Multicriteria Decision-Making: A Literature Review

Kahraman¹,

Onar²,

Öztayşi³

2015

IJCIS

405

178

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Multicriteria decision-making (MCDM) refers to making decisions in the presence of multiple and usually conflicting criteria. Fuzzy decision-making is used where vague and incomplete data exist for the solution. Fuzzy multicriteria decision-making is one of the most popular problems handled by the researchers in the literature. In this paper, we survey the latest status of fuzzy multicriteria decision-making methods and classify these methods dividing into two parts: fuzzy multiattribute decision-making (MADM) and fuzzy multiobjective decision-making (MODM). Most of the publications are on fuzzy MADM since there are a plenty of classical multiattribute decision-making methods in the literature. Tabular and graphical illustrations for each method are given.

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Section: Discussionmentioning

confidence: 99%

“…There are various fuzzy extension proposals of AHP in the literature. Laarhoven and Pedrycz [126] propose the first algorithm in fuzzy AHP by using triangular fuzzy membership functions. Buckley [127] extends AHP with trapezoidal fuzzy numbers and used the geometric mean method to derive fuzzy weights and performance scores.…”

Section: Fuzzy Ahp Methodsmentioning

confidence: 99%

Fuzzy Multicriteria Decision-Making: A Literature Review

Kahraman¹,

Onar²,

Öztayşi³

2015

IJCIS

405

178

View full text Add to dashboard Cite

show abstract

“…In addition, to deal with the uncertainty involved in some complex problems, a fuzzy approach of AHP method, where linguistic variables are used to represent the experts' opinion, was developed (Laarhoven and Pedrycz 1983). The fuzzy AHP considers the fuzziness and vagueness of the decision makers (Kuo et al 2015;Russo and Camanho 2015).…”

Section: Ahp Methods To Compute Weightsmentioning

confidence: 99%

Decision making under uncertainty using a qualitative TOPSIS method for selecting sustainable energy alternatives

Afsordegan

Sánchez

Agell

et al. 2016

Int. J. Environ. Sci. Technol.

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Multi-criteria decision-making methods support decision makers in all stages of the decision-making process by providing useful data. However, criteria are not always certain as uncertainty is a feature of the real world. MCDM methods under uncertainty and fuzzy systems are accepted as suitable techniques in conflicting problems that cannot be represented by numerical values, in particular in energy analysis and planning. In this paper, a modified TOPSIS method for multi-criteria group decision-making with qualitative linguistic labels is proposed. This method addresses uncertainty considering different levels of precision. Each decision maker's judgment on the performance of alternatives with respect to each criterion is expressed by qualitative linguistic labels. The new method takes into account linguistic data provided by the decision makers without any previous aggregation. Decision maker judgments are incorporated into the proposed method to generate a complete ranking of alternatives. An application in energy planning is presented as an illustrative case example in which energy policy alternatives are ranked. Seven energy alternatives under nine criteria were evaluated according to the opinion of three environmental and energy experts. The weights of the criteria are determined by fuzzy AHP, and the alternatives are ranked using qualitative TOPSIS. The proposed approach is compared with a modified fuzzy TOPSIS method, showing the advantages of the proposed approach when dealing with linguistic assessments to model uncertainty and imprecision. Although the new approach requires less cognitive effort to decision makers, it yields similar results.

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“…For example, the detailed algorithms proposed by Kahraman et al [50], Laarhoven and Pedrycz [53], Tseng et al [54], and Zhang et al [55].…”

Section: The Fahp Based Approach To Index Weightmentioning

confidence: 99%

Risk Assessment of Nautical Navigational Environment Based on Grey Fixed Weight Cluster

Tian

Sun

Chen

et al. 2017

PROMET

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In order to set up a mathematical model suitable for nautical navigational environment risk evaluation and systematically master the navigational environment risk characteristics of the Qiongzhou Strait in a quantitative way, a risk assessment model with approach steps is set up based on the grey fixed weight cluster (GFWC INTRODUCTION 1.1 Research backgroundMaritime risk is one of the most important focus areas for waterway transportation. Researchers and maritime authorities have been paying special attention to the risky areas where traffic density is high for a long time. The high density and high risk for transportation increase the complexity of navigation safety management [1].Nowadays, lots of theories and models have been developed for maritime risk assessment. The concept of risk management gives risk assessment priority over taking response measures after an accident [2]. Reasonable and effective risk assessment and prediction of vessel traffic system have been studied in depth [3].There is no doubt that it is of great significance to evaluate nautical navigation environment appropriately, which demands enough of the original data, proper theories, and suitable mathematical models, etc. Related studies [4,5] show that the grey clustering decision-making, which is an important component of grey theory, is suitable for cluster analysis in case of a lack of data or object information. Given the above views, a grey fixed weight cluster (GFWC) model with implementation scheme will be established in this paper for comprehensive risk assessment of nautical navigational environment. Whereby: (1) as the fundamental step when carrying out an evaluation work, the evaluation index system is designed to be structured scientifically through literature review and expert investigation, (2) as one of the indispensable components, relative weight of each YANFEI TIAN, Ph.D. candidate 1,2

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A fuzzy extension of Saaty's priority theory

Cited by 2,220 publications

References 4 publications

Fuzzy Multicriteria Decision-Making: A Literature Review

Fuzzy Multicriteria Decision-Making: A Literature Review

Decision making under uncertainty using a qualitative TOPSIS method for selecting sustainable energy alternatives

Risk Assessment of Nautical Navigational Environment Based on Grey Fixed Weight Cluster

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