scholarly journals Extended Fuzzy Analytic Hierarchy Process (E-FAHP): A General Approach

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 2014 ◽  
Author(s):  
Javier Reig-Mullor ◽  
David Pla-Santamaria ◽  
Ana Garcia-Bernabeu
Keyword(s):  
Analytic Hierarchy Process ◽  
Fuzzy Numbers ◽  
Fuzzy Analytic Hierarchy Process ◽  
Membership Functions ◽  
Analytic Hierarchy ◽  
Linear Type ◽  
Triangular Numbers ◽  
Linear And Nonlinear ◽  
Hierarchy Process

Fuzzy analytic hierarchy process (FAHP) methodologies have witnessed a growing development from the late 1980s until now, and countless FAHP based applications have been published in many fields including economics, finance, environment or engineering. In this context, the FAHP methodologies have been generally restricted to fuzzy numbers with linear type of membership functions (triangular numbers—TN—and trapezoidal numbers—TrN). This paper proposes an extended FAHP model (E-FAHP) where pairwise fuzzy comparison matrices are represented by a special type of fuzzy numbers referred to as (m,n)-trapezoidal numbers (TrN (m,n)) with nonlinear membership functions. It is then demonstrated that there are a significant number of FAHP approaches that can be reduced to the proposed E-FAHP structure. A comparative analysis of E-FAHP and Mikhailov’s model is illustrated with a case study showing that E-FAHP includes linear and nonlinear fuzzy numbers.

scholarly journals Multi-criteria supplier selection using fuzzy analytic hierarchy process: case study from a Brazilian railway operator

2017 ◽  
Vol 14 (3) ◽  
pp. 428 ◽  
Author(s):  
Rodrigo Barbosa de Santis ◽  
Leonardo Golliat ◽  
Eduardo Pestana de Aguiar
Keyword(s):  
Supply Chain ◽  
Analytic Hierarchy Process ◽  
Operations Management ◽  
Supplier Selection ◽  
Standard Procedure ◽  
Fuzzy Analytic Hierarchy Process ◽  
Analytic Hierarchy ◽  
And Performance ◽  
Hierarchy Process

The supplier selection problem has been discussed in literature within the supply chain management subject and it is extremely important due to its impact on the entire supply chain configuration, strategy and performance. This work presents a decision model based on the fuzzy analytic hierarchy process method and its application in a real case of maintenance supplier selection in a large Brazilian railway operator. Eight criteria were adopted - technical capacity, financial status, relationship, operations management, security management, infrastructure, historic performance and costs - for evaluating five potential suppliers. In the case study, both first and second ranked suppliers by the method have been selected by the company for providing the services and the model was adopted as a standard procedure within the organization for contracts over US$ 300,000.

A GIS-based fuzzy-analytic hierarchy process (F-AHP) for ecotourism suitability decision making: A case study of Babol in Iran

2020 ◽  
Vol 36 ◽  
pp. 100726 ◽  
Author(s):  
Hasan Zabihi ◽  
Mohsen Alizadeh ◽  
Isabelle D. Wolf ◽  
Mohammadreza Karami ◽  
Anuar Ahmad ◽  
...  
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Fuzzy Analytic Hierarchy Process ◽  
Analytic Hierarchy ◽  
Hierarchy Process

scholarly journals Fuzzy and Interval AHP Approaches in Sustainable Management for the Architectural Heritage in Smart Cities

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 304 ◽  
Author(s):  
Mimica R. Milošević ◽  
Dušan M. Milošević ◽  
Ana D. Stanojević ◽  
Dragan M. Stević ◽  
Dušan J. Simjanović
Keyword(s):  
Analytic Hierarchy Process ◽  
Smart City ◽  
Smart Cities ◽  
Practical Method ◽  
Architectural Heritage ◽  
City Development ◽  
Analytic Hierarchy ◽  
Linear Type ◽  
Triangular Numbers ◽  
Hierarchy Process

For the past four decades, the methodology of fuzzy analytic hierarchy process based on fuzzy trapezoidal or triangular numbers with the linear type of membership functions has witnessed an expanding development with applicability to a wide variety of areas, such as industry, environment, education, government, economics, engineering, health, and smart city leadership. On the other hand, the interval gray analytic hierarchy process is a more practical method when a significant number of professionals have large variations in preferences and interests in complex decisions. The paper examines the management of architectural heritage in smart cities, using methods of multi-criteria decision making. Two appropriate methods generally recommended by the scientific literature have been applied: fuzzy and interval grey analytic hierarchy process. By using both techniques, there is an opportunity to analyze the consensual results from the aspect of two different stakeholder groups: architectural heritage experts and smart city development experts. Trapezoidal fuzzy analytical hierarchical process shows better stability than a triangular one. Both approaches assign priority to the strategy, but the interval approach gives a more significant rank to architectural heritage factors. The similarity of the proposed methods has been tested, and the similarity factor in the ranking indicates a high degree of similarity in comparing the reference rankings.

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