Intuitionistic Fuzzy AHP and its Application in Evaluation of Ecological Architecture

2012 ◽  
Vol 518-523 ◽  
pp. 4466-4472 ◽  
Author(s):  
Hao Zhang ◽  
Wei Xia Li ◽  
Cheng Yi Zhang
Keyword(s):  
Fuzzy Ahp ◽  
Relative Importance ◽  
Analytic Hierarchy ◽  
Additive Consistency ◽  
Intuitionistic Fuzzy ◽  
Judgement Matrix ◽  
The Matrix ◽  
Addition And Subtraction ◽  
Definition Of ◽  
Hierarchy Process

In this paper, the definition of additive consistent intuitionistic fuzzy complementary judgement matrix (ACIFCJM) was given; The addition and subtraction algorithms of intuitionistic fuzzy value representing the relative importance degree in the matrix were given, then the definition of the scale transition matrix of intuitionistic fuzzy complementary judgement matrix (IFCJM) was given; The additive consistency recursive iterative adjustment algorithm about the IFCJM was given, then priority vectors formula of IFCJM was introduced; At last, the steps of intuitionistic fuzzy analytic hierarchy process (IFAHP) were introduced, then the method was applied in actual examples, and its effectiveness was verified.

The Influence of Defuzzification Methods to Decision Support Systems Based on Fuzzy AHP with Scattered Comparison Matrix: Application to 3PLP Selection as a Case Study

2018 ◽  
Vol 26 (03) ◽  
pp. 475-491 ◽  
Author(s):  
Danijela Tuljak-Suban ◽  
Patricija Bajec
Keyword(s):  
Fuzzy Ahp ◽  
Third Party ◽  
Third Party Logistics ◽  
Analytic Hierarchy ◽  
The Third Party Logistics ◽  
Comparison Matrix ◽  
Improper Use ◽  
Definition Of ◽  
Hierarchy Process

The Analytic Hierarchy Process (AHP) is, in literature, the most frequently used selection method generally in association with fuzzy logic. In this article some incongruities in the use of fuzzy AHP detected in the literature are presented such as improper use of the defuzzification methods and weak consistency checks of the comparison matrix that in case of scattered comparison matrix could produces results that are clearly a contradiction. We demonstrate how even a careful definition of the third party logistics providers (3PLP) selection criteria may lead to improper results, if the appropriate methods of defuzzification are not used and the concept of “vague” is not well interpreted, both in the comparison phase and in the calculation phase.

WEAK CONSISTENCY AND QUASI-LINEAR MEANS IMPLY THE ACTUAL RANKING

2002 ◽  
Vol 10 (03) ◽  
pp. 227-239 ◽  
Author(s):  
LUCIANO BASILE ◽  
LIVIA D'APUZZO
Keyword(s):  
Geometric Mean ◽  
Arithmetic Mean ◽  
Pairwise Comparisons ◽  
Relative Importance ◽  
Analytic Hierarchy ◽  
Left Eigenvector ◽  
The Matrix ◽  
Linear Means ◽  
The Right ◽  
Hierarchy Process

It is known that in the Analytic Hierarchy Process (A.H.P.) a scale of relative importance for alternatives is derived from a pairwise comparisons matrix A = (aij). Priority vectors are basically provided by the following methods: the right eigenvector method, the geometric mean method and the arithmetic mean method. Antipriority vectors can also be considered; they are built by both the left eigenvector method and mean procedures applied to the columns of A. When the matrix A is inconsistent, priority and antipriority vectors do not indicate necessarily the same ranking. We deal with the problem of the reliability of quantitative rankings and we use quasi-linear means for providing a more general approach to get priority and antipriority vectors.

scholarly journals The Triads Geometric Consistency Index in AHP-Pairwise Comparison Matrices

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 926 ◽  
Author(s):  
Juan Aguarón ◽  
María Teresa Escobar ◽  
José María Moreno-Jiménez ◽  
Alberto Turón
Keyword(s):  
Pairwise Comparison ◽  
Consistency Index ◽  
Analytic Hierarchy ◽  
Priority Vector ◽  
Decision Tools ◽  
Geometric Consistency ◽  
The Matrix ◽  
Stability Intervals ◽  
Definition Of ◽  
Hierarchy Process

The paper presents the Triads Geometric Consistency Index ( T - G C I ), a measure for evaluating the inconsistency of the pairwise comparison matrices employed in the Analytic Hierarchy Process (AHP). Based on the Saaty’s definition of consistency for AHP, the new measure works directly with triads of the initial judgements, without having to previously calculate the priority vector, and therefore is valid for any prioritisation procedure used in AHP. The T - G C I is an intuitive indicator defined as the average of the log quadratic deviations from the unit of the intensities of all the cycles of length three. Its value coincides with that of the Geometric Consistency Index ( G C I ) and this allows the utilisation of the inconsistency thresholds as well as the properties of the G C I when using the T - G C I . In addition, the decision tools developed for the G C I can be used when working with triads ( T - G C I ), especially the procedure for improving the inconsistency and the consistency stability intervals of the judgements used in group decision making. The paper further includes a study of the computational complexity of both measures ( T - G C I and G C I ) which allows selecting the most appropriate expression, depending on the size of the matrix. Finally, it is proved that the generalisation of the proposed measure to cycles of any length coincides with the T - G C I . It is not therefore necessary to consider cycles of length greater than three, as they are more complex to obtain and the calculation of their associated measure is more difficult.

CONSISTENCY OF JUDGEMENT MATRIX AND FUZZY WEIGHTS IN FUZZY ANALYTIC HIERARCHY PROCESS

1995 ◽  
Vol 03 (01) ◽  
pp. 35-46 ◽  
Author(s):  
XUZHU WANG ◽  
E.E. KERRE ◽  
D. RUAN
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Average Method ◽  
Fuzzy Analytic Hierarchy Process ◽  
Analytic Hierarchy ◽  
Geometric Average ◽  
Judgement Matrix ◽  
Definition Of ◽  
Fuzzy Weights ◽  
Hierarchy Process

In this paper we introduce a definition of consistency of the judgement matrix in the fuzzy Analytic Hierarchy Process (AHP) and give a general expression of all fuzzy weights under the condition of consistency. Finally, based on our discussion, the geometric average method is suggested for fuzzy weights calculation in the practical decision-making situation.

Purchasing strategies for relief items in humanitarian operations

2019 ◽  
Vol 9 (2) ◽  
pp. 151-171 ◽  
Author(s):  
Arthur Abreu da Silva Lamenza ◽  
Tharcisio Cotta Fontainha ◽  
Adriana Leiras
Keyword(s):  
Empirical Test ◽  
Analytic Hierarchy ◽  
Content Type ◽  
Humanitarian Operations ◽  
Humanitarian Organizations ◽  
The Matrix ◽  
Relief Operations ◽  
Definition Of ◽  
Hierarchy Process ◽  
Practical Implications

Purpose The purpose of this paper is to develop a Humanitarian Purchasing Matrix to guide purchasing strategies for relief items in humanitarian operations. Design/methodology/approach The research synthesizes the structures of a Purchasing Portfolio Model and the characteristics of purchasing in humanitarian operations, validating them with academics and practitioners to develop a Humanitarian Purchasing Matrix. Then, based on the Analytic Hierarchy Process to classify the relief items in the matrix, an illustrative example is used as an empirical test for the proposed Humanitarian Purchasing Matrix. Findings The academic literature on purchasing in general and purchasing in humanitarian operations share some similarities in terms of “Importance of Purchasing” and “Complexity of Supply Market” dimensions. Moreover, the analysis of such criteria supports the definition of purchasing strategies for different relief items in humanitarian operations. Practical implications The Humanitarian Purchasing Matrix can be considered a tool/guide for professionals of humanitarian organizations in the adoption of purchasing strategies for the different relief items purchased for humanitarian operations. Originality/value Considering a scenario of a constant increase in the variety of relief items, the high purchasing volume and the pressure to more efficient relief operations, the research discusses the intersectionality of business purchasing models and the purchasing characteristics of humanitarian operations. Moreover, the research deliveries a tool/guide to the adoption of purchasing strategies that are composed of criteria observed in the literature and suggested by both humanitarian logistic academics and practitioners.

An Integrated Intuitionistic Fuzzy AHP and TOPSIS Approach to Evaluation of Outsource Manufacturers

2018 ◽  
Vol 29 (1) ◽  
pp. 283-297 ◽  
Author(s):  
Cengiz Kahraman ◽  
Başar Öztayşi ◽  
Sezi Çevik Onar
Keyword(s):  
Business Performance ◽  
Fuzzy Ahp ◽  
Analytic Hierarchy ◽  
Intuitionistic Fuzzy ◽  
Business Operations ◽  
Decision Making Problem ◽  
History Of ◽  
Topsis Approach ◽  
Hierarchy Process ◽  
Selection Of

Abstract Outsourcing is the action of contracting a specific task, function, or process to an external company instead of using an organisation’s resources. The history of outsourcing goes back to the 1980s when it was used for cost reduction in non-core business operations. Over time, outsourcing has moved to more strategic areas and has become an important factor in business performance. The selection of the best alternative among alternative outsource manufacturers is a multi-criteria decision-making problem. In this study, the fuzzy set theory is used to capture the uncertainty embedded into the decision problem. In this paper, an interval-valued intuitionistic fuzzy Analytic Hierarchy Process and Technique for Order of Preference by Similarity to Ideal Solution-based methodology is proposed, and an application is provided for the evaluation of outsource manufacturers.

On Moderate Fuzzy Analytic Hierarchy Process Pairwise Comparison Model With Subcriteria

2016 ◽  
Vol 2 (3) ◽  
pp. 54
Author(s):  
G. Marimuthu ◽  
G. Ramesh
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Fuzzy Ahp ◽  
Pairwise Comparison ◽  
Decision Models ◽  
Fuzzy Analytic Hierarchy Process ◽  
Analysis Method ◽  
Analytic Hierarchy ◽  
Comparison Model ◽  
Hierarchy Process

Decisions usually involve the getting the best solution, selecting the suitable experiments, most appropriate judgments, taking the quality results etc., using some techniques.  Every decision making can be considered as the choice from the set of alternatives based on a set of criteria.  The fuzzy analytic hierarchy process is a multi-criteria decision making and is dealing with decision making problems through pairwise comparisons mode [10].  The weight vectors from this comparison model are obtained by using extent analysis method.  This paper concern with an alternate method of finding the weight vectors from the original fuzzy AHP decision model (moderate fuzzy AHP model), that has the same rank as obtained in original fuzzy AHP and ideal fuzzy AHP decision models.

scholarly journals Socioeconomic Risks and Their Impacts on Ecological River Health in South Korea: An Application of the Analytic Hierarchy Process

2021 ◽  
Vol 13 (11) ◽  
pp. 6287
Author(s):  
Suyeon Kim ◽  
Sang-Woo Lee ◽  
Se-Rin Park ◽  
Yeeun Shin ◽  
Kyungjin An
Keyword(s):  
South Korea ◽  
Socioeconomic Factors ◽  
Ecosystem Health ◽  
Relative Importance ◽  
River Ecosystem ◽  
River Health ◽  
Analytic Hierarchy ◽  
Factors Affecting ◽  
Factors Influencing ◽  
Hierarchy Process

It is imperative to develop a methodology to identify river impairment sources, particularly the relative impact of socioeconomic sources, to enhance the efficiency of various river restoration schemes and policies and to have an internal diagnosis system in place. This study, therefore, aims to identify and analyze the relative importance of the socioeconomic factors affecting river ecosystem impairment in South Korea. To achieve this goal, we applied the Analytical Hierarchy Process (AHP) to evaluate expert judgement of the relative importance of different socioeconomic factors influencing river ecosystem impairment. Based on a list of socioeconomic factors influencing stream health, an AHP questionnaire was prepared and administered to experts in aquatic ecology. Our analysis reveals that secondary industries form the most significant source of stream ecosystem impairment. Moreover, the most critical socioeconomic factors affecting stream impairment are direct inflow pollution, policy implementation, and industrial wastewater. The results also suggest that the AHP is a rapid and robust approach to assessing the relative importance of different socioeconomic factors that affect river ecosystem health. The results can be used to assist decision makers in focusing on actions to improve river ecosystem health.

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