scholarly journals Multicriteria optimization in a fuzzy environment: The fuzzy analytic hierarchy process

2010 ◽  
Vol 20 (1) ◽  
pp. 71-85 ◽  
Author(s):  
Milanka Gardasevic-Filipovic ◽  
Dragan Saletic
Keyword(s):  
Analytic Hierarchy Process ◽  
Optimization Problems ◽  
Fuzzy Ahp ◽  
User Preferences ◽  
Analytic Hierarchy ◽  
Weighted Sum Method ◽  
Fuzzy Environment ◽  
Previously Treated ◽  
Judgment Matrix ◽  
Hierarchy Process

In the paper the fuzzy extension of the Analytic Hierarchy Process (AHP) based on fuzzy numbers, and its application in solving a practical problem, are considered. The paper advocates the use of contradictory test to check the fuzzy user preferences during fuzzy AHP decision-making process. We also propose consistency check and deriving priorities from inconsistent fuzzy judgment matrices to be included in the process, in order to check if the fuzzy approach can be applied in the AHP for the problem considered. An aggregation of local priorities obtained at different levels into composite global priorities for the alternatives based on weighted-sum method is also discussed. The contradictory fuzzy judgment matrix is analyzed. Our theoretical consideration has been verified by an application of commercially available Super Decisions program (developed for solving multi-criteria optimization problems using AHP approach) on the problem previously treated in the literature. The obtained results are compared with those from the literature. The conclusions are given and the possibilities for further work in the field are pointed out.

scholarly journals Application of Teaching Learning Based Optimization in antenna designing

2015 ◽  
Vol 4 (1) ◽  
pp. 68 ◽  
Author(s):  
S. Dwivedi ◽  
V. Mishra ◽  
Y. Kosta
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Optimization Problems ◽  
Optimization Techniques ◽  
Analytic Hierarchy ◽  
Weighted Sum Method ◽  
Order Preference ◽  
Teaching Learning Based Optimization ◽  
Teaching Learning ◽  
Hierarchy Process

Numerous optimization techniques are studied and applied on antenna designs to optimize various performance parameters. Authors used many Multiple Attributes Decision Making (MADM) methods, which include, Weighted Sum Method (WSM), Weighted Product Method (WPM), Technique for Order Preference by Similarity to Ideal Solution (TOPSIS), Analytic Hierarchy Process (AHP), ELECTRE, etc. Of these many MADM methods, TOPSIS and AHP are more widely used decision making methods. Both TOPSIS and AHP are logical decision making approaches and deal with the problem of choosing an alternative from a set of alternatives which are characterized in terms of some attributes. Analytic Hierarchy Process (AHP) is explained in detail and compared with WSM and WPM. Authors fi- nally used Teaching-Learning-Based Optimization (TLBO) technique; which is a novel method for constrained antenna design optimization problems.

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.

Analytic Hierarchy Process Method Based on the Cask Theory

2015 ◽  
Vol 713-715 ◽  
pp. 1610-1614
Author(s):  
Yan Li ◽  
Xiao Dong Mu ◽  
Wei Song ◽  
Hui Wei Shi
Keyword(s):  
Expert System ◽  
Analytic Hierarchy Process ◽  
System Performance ◽  
Strong Impact ◽  
Analytic Hierarchy ◽  
Judgment Matrix ◽  
Index Value ◽  
Analytic Hierarchy Process Method ◽  
Hierarchy Process ◽  
Process Method

When using the traditional AHP to evaluate the system,the method of endow with weight is to request expert build the judgment matrix of every hierarchies. The method is over-subjective for its overdependence on expert system. In view of this, this paper puts forward an analytic hierarchy process method based on the cask theory. This method penalizes the index whose index value is too low to having a strong impact on overall system performance. Using this method achieves the goal of reducing the subjectivity. Finally, according to the example, this method’s superiority is proved.

scholarly journals Sistem Pendukung Keputusan Pemberian Pembiayaan Murahabah dengan Fuzzy Analytic Hierarchy Process

Techno Com ◽  
2019 ◽  
Vol 18 (2) ◽  
pp. 178-189
Author(s):  
Siti Monalisa ◽  
Raynaldi Setiawan
Keyword(s):  
Analytic Hierarchy Process ◽  
Fuzzy Ahp ◽  
Fuzzy Analytic Hierarchy Process ◽  
Analytic Hierarchy ◽  
Hierarchy Process

BMT Al-ittihad terdapat bermacam-macam pembiayaan  salah satunya Murabahah yang berarti akad jual beli barang dengan menyatakan harga perolehan dan keuntungan (margin) yang disepakati oleh penjual dan pembeli. BMT Al-itthad dalam proses melaksanakan akad Murabahah dilakukan dengan menganalisa kelayakan pemberian pembiayaan kepada anggota dengan cara melengkapi persyaratan umum dan menggunakan bahasa yang subjektif terhadap penilaian kriteria karakter berdasarkan rekomendasi anggota lain,wawancara dan cara berkomunikasi, Penilaian karakter merupakan penilaian yang paling penting berdasarkan hasil wawancara dengan kepala pembiayaan karena penilaian karakter merupakan penilaian untuk melihat apakah anggota sanggup dan amanah membayar hutang. Untuk mengatasi penilaian yang bersifat subjektif maka dirancang sebuah sistem pendukung keputusan pemberian pembiayaan dengan menggunakan metode fuzzy analytic hierarchy process. Metode fuzzy AHP merupakan penggabungan dari metode fuzzy dan AHP. Metode fuzzy AHP dapat menutupi kelemahan yang terdapat pada AHP yaitu menangani penilaian yang bersifat subjektif . Sistem ini dirancang menggunakan bahasa pemrograman PHP, MySQL , sedangkan metode pengembangan sistem menggunakan V-model dan UML sebagai standar pemodelannya. Sistem pendukung keputusan  ini dapat memudahkan serta mempercepat proses penentuan pemberian pembiayaan Murabahah kepada anggota.

scholarly journals Integrating Fuzzy AHP and Fuzzy ARAS for evaluating financial performance

2014 ◽  
Vol 32 (2) ◽  
pp. 163 ◽  
Author(s):  
Abdolhamid Safaei Ghadikolaei ◽  
Saber Khalili Esbouei
Keyword(s):  
Performance Evaluation ◽  
Financial Performance ◽  
Manufacturing Industry ◽  
Stock Exchange ◽  
Fuzzy Ahp ◽  
Hybrid Approach ◽  
Analytic Hierarchy ◽  
Fuzzy Environment ◽  
Parts Manufacturing ◽  
Hierarchy Process

Multi Criteria Decision Making (MCDM) is an advanced field of Operation Research; recently MCDM methods are efficient and common tools for performance evaluation in many areas such as finance and economy. The aim of this study is to show one of applications of mathematics in real word. This study with considering value based measures and accounting based measures simultaneously, provided a hybrid approach of MCDM methods in fuzzy environment for financial performance evaluation of automotive and parts manufacturing industry of Tehran stock exchange (TSE).for this purpose Fuzzy analytic hierarchy process (FAHP) is applied to determine the relative important of each criterion, then The companies are ranked according their financial performance by using fuzzy additive ratio assessment (Fuzzy ARAS) method. The finding of this study showed effective of this approach in evaluating financial performance.

Fuzzy Analytic Hierarchy Process and Its Application to E-Marketplace Selection

2013 ◽  
pp. 26-44 ◽  
Author(s):  
Beyza Ahlatcioglu Ozkok ◽  
Elisa Pappalardo
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Fuzzy Ahp ◽  
Multi Criteria Decision Making ◽  
Linguistic Variables ◽  
Analytic Hierarchy ◽  
Multi Attribute Decision Making ◽  
Electronic Parts ◽  
Hierarchy Process

Making decisions is a part of daily life. The nature of decision-making includes multiple and usually conflicting criteria. Multi Criteria Decision-Making (MCDM) problems are handled under two main headings: Multi Attribute Decision Making (MADM) and Multi Objective Decision Making (MODM). Analytic Hierarchy Process (AHP) is a widely used multi-criteria decision making approach and has successfully been applied to many practical problems. Traditional AHP requires exact or crisp judgments (numbers). However, due to the complexity and uncertainty involved in real world decision problems, decision makers might be more reluctant to provide crisp judgments than fuzzy ones. Furthermore, even when people use the same words, individual judgments of events are invariably subjective, and the interpretations that they attach to the same words may differ. This is why fuzzy numbers and fuzzy sets have been introduced to characterize linguistic variables. Here, the authors overview the most known fuzzy AHP approaches and their application, and they present a case study to select an e-marketplace for a firm, which produces and sells electronic parts of computers in Turkey.

A multibelief analytic hierarchy process and nonlinear programming approach for diversifying product designs: Smart backpack design as an example

2020 ◽  
Vol 234 (6-7) ◽  
pp. 1044-1056 ◽  
Author(s):  
Yu-Cheng Lin ◽  
Toly Chen
Keyword(s):  
Nonlinear Programming ◽  
Analytic Hierarchy Process ◽  
Programming Model ◽  
Programming Approach ◽  
Analytic Hierarchy ◽  
Nonlinear Programming Model ◽  
Judgment Matrix ◽  
The Cost ◽  
Analytic Hierarchy Process Method ◽  
Hierarchy Process

Owing to the cost constraint, it is difficult to incorporate all critical features into a single product design. To deal with this issue, analytic hierarchy process is a well-known method that compares the relative priorities of critical features. This study aims to illustrate that the judgment of a designer can be used to generate multiple diversified product designs. To this end, this study proposed a multibelief analytic hierarchy process and nonlinear programming approach. In the proposed methodology, a decision maker’s judgment matrix is decomposed into several single-belief judgment matrices that are more consistent than the original judgment matrix and represent diversified points of view regarding the relative priorities of factors. To this end, a nonlinear programming model is established and optimized. The proposed methodology was applied to a smart backpack design problem. It was concluded that a designer’s judgment was often inconsistent, which was ignored in the conventional analytic hierarchy process method but could be employed to diversify product designs.

Fuzzy Ratings and Crisp Feedback in Fuzzy AHP for Supporting Human Decision Making

2006 ◽  
Vol 10 (2) ◽  
pp. 219-224 ◽  
Author(s):  
Toshiyuki Yamashita ◽  
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Fuzzy Ahp ◽  
Psychological Effects ◽  
Analytic Hierarchy ◽  
Human Decision ◽  
Hierarchy Process

Analytic Hierarchy Process (AHP) is one of the most popular tools for supporting human decision making, and several fuzzy extensions of AHP have been proposed. The present study investigated psychological effects of both fuzzy ratings in fuzzy AHP and crisp feedback of the results from fuzzy AHP. The results suggest that fuzzy ratings could incorporate the fuzziness of a person’s feelings in his/her decision making. The results also suggest that crisp feedback, which exaggerates the superiority of only one alternative or the differences among the alternatives, could help a person to make his/her decision, especially when being deeply puzzled about his/her choice.

Application of Fuzzy AHP to the Comparison and Selection of Cement Concrete Pavement Overlaying Schemes

2011 ◽  
Vol 243-249 ◽  
pp. 4302-4306
Author(s):  
Ji Feng Liang ◽  
Xie Dong Zhang ◽  
Lei Wu
Keyword(s):  
Analytic Hierarchy Process ◽  
Fuzzy Ahp ◽  
Comprehensive Analysis ◽  
Concrete Pavement ◽  
Cement Concrete ◽  
Analytic Hierarchy ◽  
Ahp Model ◽  
Cement Concrete Pavement ◽  
Hierarchy Process ◽  
Selection Of

Based on a comprehensive analysis of the influencing factors and special features of cement concrete pavement overlaying technology, a fuzzy analytic hierarchy process (AHP) model is constructed for the comparison and selection of overlaying schemes. At first, the numerical weight for each criterion of the hierarchy is derived and tested. Then the feature matrices of all the schemes are constructed based on experts’ evaluation. The optimal scheme is chosen according to the numerical priorities of each scheme yielded by fuzzy calculation.

FAHP Based Comprehensive Evaluation System of Water Environment Security

2011 ◽  
Vol 183-185 ◽  
pp. 1486-1490
Author(s):  
Qian Qian Dai ◽  
Jun Liang Liu ◽  
Tie Jian Zhang
Keyword(s):  
Analytic Hierarchy Process ◽  
Evaluation System ◽  
Comprehensive Evaluation ◽  
Water Environment ◽  
Analytic Hierarchy ◽  
Scale Method ◽  
Comprehensive Evaluation System ◽  
Judgment Matrix ◽  
Hierarchy Process ◽  
Water Environment Security

The evaluation system of water environment security is improved by using fuzzy analytic hierarchy process (FAHP) in determining weights of various factors of the system. First, priority judgment matrix is FAHP uses three-scale method to construct and then fuzzy consistency judgment matrix is obtained. It overcomes many shortcomings of traditional AHP, such as the difficulty to scale when assigning weights, the need to conduct consistency testing, a large amount of calculation and low accuracy of calculation. It is effective and reasonable in the evaluation of water environment security.

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