Analytic Hierarchy Process and Fuzzy Set Theory

2017 ◽  
pp. 1-10
Author(s):  
Ali Emrouznejad ◽  
William Ho
Keyword(s):  
Analytic Hierarchy Process ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Analytic Hierarchy ◽  
Hierarchy Process

scholarly journals Analysis of time overruns in roads and highways sector in India using AHP ranking technique

2018 ◽  
Vol 7 (3.29) ◽  
pp. 259
Author(s):  
Siddesh K. Pai ◽  
Avinash Kumar Singh ◽  
Ankur Mittal ◽  
Neeraj Anand
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Analytic Hierarchy ◽  
Severity Factor ◽  
Construction Firm ◽  
The Right ◽  
Hierarchy Process

In today’s scenario there will be a competition exists among various construction firm, so the risk management come into picture to assess the various risk related to project. Assigning the right severity factor as per the possibility of occurrence will impart the success of organization as well as success will impart the growth of nation with increase in G.D.P. In construction of road the assessment of right severity factor, will be considered as strength to lower down the delay of time over run. Tremendous amount of effort are applied in quantitative and qualitative manner for assessment of risk severity factor. However, many criteria for risk severity factor enable the decision making methods will smoothen the process of arriving at a solution and enable decision makers to make the right decisions. Decision-making problems need systematic approach to appraise the various alternatives using quantitative and non quantitative factors. Standard methods for solving problems will lack considerations of non-quantitative factors, where numeric values are difficult to assign. Different techniques like, Analytic Hierarchy Process (AHP), Fuzzy set theory Making and Multi Criteria Decision are being used in risk severity factor. These techniques consider factors with concrete values or vague values. This research will provide solution to a risk severity factor for budget allocation problem, for allocating funds to competing and deserving organizations by using ranking analysis technique. Fuzzy set theory and AHP is used to calculate the Weights .Fuzzy set considers subjective values like preferred, strongly preferred etc. and Analytic Hierarchy Process (AHP) technique evaluates relative importance of factors by making pair wise comparison matrix. The evaluation technique will facilitate in ranking of various severity factors according to their possibility of occurrence after assigning weights to decision making factor.   

Study on Stability of Rock at Reservoir Banks Slop Based on AHP

2012 ◽  
Vol 204-208 ◽  
pp. 2309-2317 ◽  
Author(s):  
Zhi Jun Zhou ◽  
Han Liang ◽  
Xiao Dong Wang
Keyword(s):  
Slope Stability ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Engineering Practice ◽  
Stability Evaluation ◽  
Analytic Hierarchy ◽  
Evaluation Indexes ◽  
Comprehensive Evaluations ◽  
Research On Application

The paper aims to present the authors’ research on application of engineering fuzzy set theory analysis to reservoir ranks rock slop stability evaluation by using analytic hierarchy processing (AHP). Many methods, which used to analysis highway slope stability, are compared in the paper. On the basis of research on the general slope stability evaluation methods, lots of fuzzy factors of stability evaluation for highway slope are researched and fuzzy comparison matrix model is established. Correspondence relationship between mood operator and fuzzy value are determined. Evaluation indexes and grading standards are identified on the basis of engineering practice. The weight of every index is obtained by using analytic hierarchy processing and the method of Ridge-type distribution, which the method of combining with the bigger the more excellent and the smaller the more excellent. Engineering fuzzy set theory is used to make a comprehensive evaluations, overall evaluation of the highway slope stability is obtained according to the principle of maximum degree of subjection and the result of subjection degree vector. Slope stability evaluation of AN-SHAN Expressway is analyzed with analytical hierarchy process. Evaluation results provide a basis for the progress of the project, and the project carried out smoothly with the guidance of it. The results show that the model makes slope stability evaluation more comprehensive, scientific and rational.

scholarly journals PENGAPLIKASIAN METODE FUZZY ANALYTIC HIERARCHY PROCESS (FAHP) PADA PENENTUAN PIMILIHAN SUPPLIER BENANG (Studi Kasus di CV. Sarung Indah Sejahterah)

2020 ◽  
Vol 1 (1) ◽  
pp. 11
Author(s):  
Syamsul Huda ◽  
Pregiwati Pusporini ◽  
Said Salim Dahda
Keyword(s):  
Decision Making ◽  
Analytic Hierarchy Process ◽  
Fuzzy Set ◽  
Analytical Hierarchy Process ◽  
Fuzzy Analytic Hierarchy Process ◽  
Multi Criteria Decision Making ◽  
Fuzzy Analytical Hierarchy Process ◽  
Analytic Hierarchy ◽  
Hierarchy Process

Pemilihan supplier merupakan salah satu aktivitas dalam rangkaian pekerjaan CV Sarung Indah Sejahtera. Aktivitas ini dikategorikan dalam aktivitas strategis, karena peran supplier akan turut dalam menentukan keberhasilan perusahaan, apabila barang yang disediakan supplier tidak sesuai dengan kebutuhan perusahaan, maka dapat dipastikan bahwa proses pekerjaan akan terganggu. Berpijak dari latar belakang tersebut maka tujuan dari penelitian ini adalah menentukan supplier yang dapat memberikan perfomansi terbaik, berdasarkan kriteria dan subkriteria yang telah ditentukan perusahaan. CV Sarung Indah Sejahterah adalah sebuah perusahaan yang memproduksi dan menjual sarung tenun tangan tanpa mesin, sehingga kualitas menjadi hal yang sangat penting. Penelitian ini melibatkan lebih dari satu kriteria dalam menentukan supplier, agar dapat membuat keputusan yang tepat maka diperlukan metode Multi Criteria Decision Making (MCDM). Metode yang digunakan disini adalah metode Analytical Hierarchy Process (AHP) dan Fuzzy Set, yang untuk selanjutnya disebut dengan metode Fuzzy Analytical Hierarchy Process (FAHP). Yaitu ketidakmampuan dalam mempertimbangkan ketidakpastian yang muncul akibat subjektivitas manusia. Hasil penenelitian menenjukkan bahwa tedapat 4 kriteria yang harus dipertimbangkan dalam menentukan supplier di CV Sarung Indah Sejahterah. Keempat kriteria tersebut adalah pengiriman, kualitas, pelayanan, harga. Hasil dari tahapan metode Fuzzy Analytical Hierarchy Process (FAHP). Didapatkan urutan sebagai berikut : Supplier 1 BNP 101,813, Supplier 2 BNP 117,29, Supplier 3 BNP 99,59.

Fuzzy Judgments and Fuzzy Sets

2012 ◽  
pp. 100-116 ◽  
Author(s):  
Thomas L. Saaty ◽  
Liem T. Tran
Keyword(s):  
Decision Making ◽  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Fuzzy Theory ◽  
Value Theory ◽  
Outcome Data ◽  
Analytic Hierarchy ◽  
The Many ◽  
The Right

Using fuzzy set theory has become attractive to many people. However, the many references cited here and in other works, little thought is given to why numbers should be made fuzzy before plunging into the necessary simulations to crank out numbers without giving reason or proof that it works to one’s advantage. In fact it does not often do that, certainly not in decision making. Regrettably, many published papers that use fuzzy set theory presumably to get better answers were not judged thoroughly by reviewers knowledgeable in both fuzzy theory and decision making. Buede and Maxwell (1995), who had done experiments on different ways of making decisions, found that fuzzy does the poorest job of obtaining the right decision as compared with other ways. “These experiments demonstrated that the MAVT (Multiattribute Value Theory) and AHP (Analytic Hierarchy Process) techniques, when provided with the same decision outcome data, very often identify the same alternatives as ‘best’. The other techniques are noticeably less consistent with the Fuzzy algorithm being the least consistent.”

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