A characterization of a general class of ranking functions on triangular fuzzy numbers

Facchinetti, Gisella; Ricci, Roberto

doi:10.1016/j.fss.2003.10.023

Cited by 48 publications

(22 citation statements)

References 25 publications

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“…The method does not require special knowledge and can be simply applied. It allows individual or group decision making process, quantitative and qualitative values can be used in a pairwise comparison and criteria weights are calculated by pairwise comparison of decision makers [15][16]. The readers can find details about the steps of AHP in different papers [17][18][19].…”

Section: The Fuzzy Set Theory and Analytic Hierarchy Processmentioning

confidence: 99%

3D Printer Selection by Using Fuzzy Analytic Hierarchy Process and PROMETHEE

Çetinkaya¹,

Kabak²,

Özceylan³

2017

Bilişim Teknolojileri Dergisi

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-A 3D printer is a device which is used to produce three-dimensional objects from a digital 3D file. The 3D printers were very expensive and not really affordable for the general public so they were being used only by firms. But nowadays, 3D printers are more accessible to the public with competitive prices and many different models. This situation reveals the problem of choosing the best alternative among these printers. In this paper, we handle the 3D printer selection problem of a company which is in 3D production business. Since there is no study in literature that uses a hybrid Fuzzy AHP and PROMETHEE for selecting a 3D printer, it is believed that this paper can help the decision makers about their 3D printer selection decisions. Another importance of the paper can be introduced as being a real life guide for a real life problem of a company. To solve the problem, firstly the selection criteria are obtained from the company. Then, selection criteria are prioritized using Fuzzy Analytic Hierarchy Process (FAHP) and potential 3D printers are ranked using PROMETHEE. Finally, the best 3D printer is chosen for the company among five close alternatives. Keywords -3D printer, Fuzzy AHP, PROMETHEE, Additive manufacturingBulanık Analitik Hiyerarşi Prosesi ve PROMETHEE Yöntemi İle 3D Yazıcı SeçimiÖzet -3B yazıcılar, dijital ortamda bulunan ürün dosyalarını kullanarak 3 boyutlu cisimlerin üretiminin gerçekleştirildiği yazıcılardır. Piyasaya sürüldükleri ilk zamanlarda 3B yazıcılar sadece büyük işletmeler tarafından kullanılan çok pahalı cihazlardı. Ancak zamanla 3B yazıcı üreticilerinin sayılarının artması ile artan rekabet ortamında bir yandan yazıcı çeşitleri artmış diğer taraftan da satış fiyatları düşmüştür. Yazıcı sayılarının ve çeşitlerinin artması ise en uygun yazıcı tipinin seçimi gibi bir problemin ortaya çıkmasına sebep olmuştur. Bu çalışmada, 3B yazıcı sektöründe faaliyet gösteren bir işletme için alternatifler arasından en iyi 3B yazıcı seçim problemi ele alınmıştır. 3B yazıcı seçimi için bulanık analitik hiyerarşi süreci (AHS) ve PROMETHEE yöntemlerinin kullanıldığı melez bir çalışmaya literatürde rastlanılmadığı için bu çalışmanın karar vericilerin söz konusu probleme yaklaşımlarına yardımcı olacağına inanılmaktadır. Çalışmanın diğer bir önemli noktası ise gerçek hayat problemine çözüm aramasıdır. Bu çalışmada 3 aşamalı bir çözüm yaklaşımı uygulanmıştır. İlk aşamada 3B yazıcı seçiminde dikkat edilmesi gereken kriterler netleştirilmiştir. İkinci aşamada söz konusu kriterler bulanık AHS yöntemi ile ağırlıklandırılmış, alternatif 3B yazıcılar ise PROMETHEE yöntemi ile sıralanmıştır. Son aşamada ise, en iyi 3B yazıcı 5 alternatif arasından seçilmiştir.Anahtar kelimeler -3D yazıcı, Bulanık AHS, PROMETHEE, Eklemeli üretim

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Section: The Fuzzy Set Theory and Analytic Hierarchy Processmentioning

confidence: 99%

3D Printer Selection by Using Fuzzy Analytic Hierarchy Process and PROMETHEE

Çetinkaya¹,

Kabak²,

Özceylan³

2017

Bilişim Teknolojileri Dergisi

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“…Zadeh, L.A. [3] first proposed fuzzy set theory and evaluated the uncertainty of things by the use of fuzzy mathematical quantification. In recent years, many domestic scholars have started analyzing risks by fuzzy comprehensive evaluation.…”

Section: A Fuzzy Comprehensive Evaluationmentioning

confidence: 99%

Identification, Evaluation and Control of Risks at the Middle Stage of the MaA by Baoneng Clique-AHP-AGA based Improved Fuzzy Comprehensive Evaluation

Junyang¹,

Fu²,

Hu³

2016

Proceedings of the 2016 International Conference on Education, Management Science and Economics

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Abstract-At present, the battle for equity ownership between Baoneng Clique and Vanke Clique has become a point at issue among scholars and media. This paper first identified the risks possibly arising at the middle stage of the M&A by Baoneng Clique, and built a four-layer risk index system. It then improved the fuzzy comprehensive evaluation method based on analytic hierarchy process-accelerating genetic algorithm (AHP-AGA); figured out the weight coefficient of the risks in each layer in accordance with expert estimation, and conducted a consistency test on it; carried out three-grade fuzzy comprehensive evaluation and weighted average calculation by weight coefficient vector and membership matrix, rating the overall risk level. The research shows that overall, there are high-level risks at the middle stage of the M&A by Baoneng Clique, and specifically, payment timing risk, financing pattern selection risk, competition risk and public opinion risk are decisive. Baoneng Clique should pay more attention to these risks. Finally, this paper took control of the above higher-level risks, in hope to warn Baoneng Clique of the risks and give it advice on risk management.

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“…When comparing two fuzzy numbers, the one with the "better" range is superior. We say the fuzzy value of one architecture is better than another if it has a: (C1) smaller anticipated value, (C2) larger positive consequence of uncertainty, and (C3) smaller negative consequence of uncertainty [10]. Fig.…”

Section: Comparing Candidate Architecturesmentioning

confidence: 99%

“…This is a fuzzy comparison [7], [10], since the two sides are fuzzy numbers. Here we are comparing the fuzzy range of possible values for the two architectures.…”

Section: E Dependencies Conflicts and Constraintsmentioning

confidence: 99%

“…Hence, if the value of ϕ 1 for arch 1 ∈ AS is less than the value of ϕ 2 for arch 2 ∈ AS, we conclude arch 1 has a lower range, and more desirable. For all practical purposes, it is also possible to use the summation of the normalized values as a collective approximation of the extent in which one architecture is better than the other [10].…”

Section: B Combining the Comparisonsmentioning

confidence: 99%

See 1 more Smart Citation

GuideArch: Guiding the exploration of architectural solution space under uncertainty

Esfahani

Malek

Razavi

2013

2013 35th International Conference on Software Engineering (ICSE)

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Abstract-A system's early architectural decisions impact its properties (e.g., scalability, dependability) as well as stakeholder concerns (e.g., cost, time to delivery). Choices made early on are both difficult and costly to change, and thus it is paramount that the engineer gets them "right". This leads to a paradox, as in early design, the engineer is often forced to make these decisions under uncertainty, i.e., not knowing the precise impact of those decisions on the various concerns. How could the engineer make the "right" choices in such circumstances? This is precisely the question we have tackled in this paper. We present GuideArch, a framework aimed at quantitative exploration of the architectural solution space under uncertainty. It provides techniques founded on fuzzy math that help the engineer with making informed decisions.

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A characterization of a general class of ranking functions on triangular fuzzy numbers

Cited by 48 publications

References 25 publications

3D Printer Selection by Using Fuzzy Analytic Hierarchy Process and PROMETHEE

3D Printer Selection by Using Fuzzy Analytic Hierarchy Process and PROMETHEE

Identification, Evaluation and Control of Risks at the Middle Stage of the MaA by Baoneng Clique-AHP-AGA based Improved Fuzzy Comprehensive Evaluation

GuideArch: Guiding the exploration of architectural solution space under uncertainty

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