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Gri Sistem Teorisi ve Uygulamaları: Bilimsel Yazın Taraması

Year 2013, Volume: 18 Issue: 3, 187 - 200, 01.09.2013

  Yrd.Doç.Dr.Erdal Aydemir Doç.Dr.Fevzi Bedir Yrd.Doç.Dr.Gültekin Özdemir

Abstract

The developments in science and technology have led to different systems theories during the last century. In particular, the grey system theory which does not need any statistical distribution has been proposed to analyze and to model increasingly complex systems with missing information and / or with incomplete information and a small sampling. In this study, a detailed literature review has been conducted for the gray system theory and its applications covering the last fifteen years. Consequently, the further research areas and some recommendations are proposed about grey system theory in terms of academic teaching and industrial research

Keywords

Grey system theory grey modeling grey prediction grey incidence analysis grey control

References

  • 1. AKAY, Diyar (2011), “Grey Relational Analysis Based on Instance Based Learning Approach for Classification of Risks of Occupational Low Back Disorders”, Safety Science, 49 (8-9), 1277-1282.
  • 2. AKAY, Diyar ve Mehmet Atak (2007), “Grey prediction with rolling mechanism for electricity demand forecasting of Turkey”, Energy, 32 (9), 1670-1675.
  • 3. AKAY, Diyar ve Osman Kulak (2007), “Evaluation of product design concepts using grey-fuzzy information axiom”, Journal of Grey System, 19 (3), 221-234.
  • 4. ASKARI, Mehdi ve Hadi Askari (2011), “Time Series Grey System Prediction-based Models: Gold Price Forecasting”, Trends in Applied Sciences Research, 6 (11), 1287-1292.
  • 5. CHEN, H. W. ve Ni-Bin Chang (2000), “Prediction Analysis of Solid Waste Generation based on Grey Fuzzy Dynamic Modeling”, Resources, Conservation and Recycling, 29, 1-18.
  • 6. CHENG, Biao (1986), “The Grey Control on Industrial Process”, Huangshi College Journal, 1, 11-23.
  • 7. CHIOU, Hua-Kai; Gwo-Hshiung Tzeng; Chih-Kang Cheng ve Gia-Shie Liu (2004), “Grey Prediction Model for Forecasting the Planning Material of Equipment Spare Parts in Navy of Taiwan”, Automation Congress, 17, 315-320.
  • 8. DENG, Ju-Long (1982), “Control Problems of Grey Systems”, Systems & Control Letters, 1 (5), 288-294.
  • 9. EŞME, Uğur; Melih Bayramoğlu ve Hakan Aydın (2009), “Galetaj İşleminin Taguchi Tabanlı Gri İlişki Çözümlemesi İle Optimizasyonu”, 2. Mühendislik Sempozyumu, 30 Nisan-1 Mayıs 2009, Çankaya Üniversitesi, Ankara.
  • 10. GUO, R. ve D. Guo (2009), “Random Fuzzy Variable Foundation for Grey Diferential Equation Modeling”, Soft Computing, 13, 185-201.
  • 11. HE, Rong-Song ve Shung-Fa Hwang (2007), “Damage Detection by a Hybrid Real-Parameter Genetic Algorithm under the assistance of grey relation analysis”, Engineering Applications of Artificial Intelligence, 20, 980-992.
  • 12. HSU, Che-Chiang ve Chia-Yon Chen (2003), “Applications of improved grey prediction model for power demand forecasting”, Energy Conversion and Management, 44, 2241-2249.
  • 13. HSU, Chaug-Ing ve Yuh-Horng Wen (1998), “Improved Grey Prediction Models for the Trans-Pacific Air Passenger Market” Transportation Planning and Technology, 22, 87-107.
  • 14. HSU, Li-Chang (2003), “Applying the Grey Prediction Model to the Global Integrated Circuit Industry”, Technological Forecasting & Social Change, 70(6), 563–574.
  • 15. HUANG, Kuang-Yu ve Chuen-Jiuan Jane (2009), “A Hybrid Model for Stock Market Forecasting and Portfolio Selection Based on ARX, Grey System and RS Theories”, Expert Systems with Applications, 36, 5387- 5392.
  • 16. HUANG, Shiuh-Jer ve Chien-Lo Huang (1994), “Control of an Inverted Pendulum Using Grey Prediction Model”, Proceedings of IEEE Conference Industrial Applications, 3, Denver, CO, ABD, 1936-1941.
  • 17. HUANG, Shiuh-Jer ve Ruey-Jing Lian (1998), “A Fuzzy Controller with Grey Prediction for Robot Motion Control”, International Journal of System Science, 29 (4), 341-351.
  • 18. KAYACAN, Erdal ve Okyay Kaynak (2011), “Single-step Ahead Prediction based on the Principle of Concatenation Using Grey Predictors”, Expert Systems with Applications, 38, 9499-9505.
  • 19. KAYACAN, Erdal; Barış Ulutaş ve Okyay Kaynak (2010), “Grey system theory-based models in time series prediction”, Expert Systems With Applications, 37, 1784-1789.
  • 20. KÖSE, Erkan; İzzettin Temiz ve Serpil Erol (2011), “Grey System Approach for Economic Order Quantity Models under Uncertainty”, The Journal of Grey System, 1, 71-82.
  • 21. KURT, Günseli (2008), “Gri İlişki Çözümlemesi ve Ridit Çözümlemesi Kullanılarak Üniversite Öğrencilerinin Çeşitli Kaygılarının Değerlendirilmesi”, Akademik Bakış, 14, 1-10.
  • 22. LI, Qiao-Xing ve Liu, Si-Feng (2008), “The Foundation of the Grey Matrix and the Grey Input-Output Analysis”, Applied Mathematical Modeling, 32, 267-291.
  • 23. LIN, Chan-Ben; Shun-Feng Su, Yen-Tseng Hsu (2001), “High-precision forecast using grey models”, International Journal of Systems Science, 32 (5), 609-619.
  • 24. LIN, Yen-Hung; Jean-Shyan Wang ve Ping-Feng Pai (2004), “A Grey Prediction Model With Factor Analysis Technique”, Journal of the Chinesse Institute of Industrial Engineers, 21 (6), 535-542.
  • 25. LIU, Hu-Chen; Long Liu; Qi-Hao Bian; Qin-Lian Lin; Na Dong ve Peng-Cheng Xu (2011), “Failure Mode and Effect Analysis Using Fuzzy Evidental Reasoning Approach and Grey Theory”, Expert Systems with Applications, 38, 4403-4415.
  • 26. LIU, Sifeng ve Yi Lin, (2006), Grey Information,Springer, 503 s., Almanya.
  • 27. LIU, Sifeng ve Yi Lin, (2010), Grey Systems Theory and Applications, Springer, 379 s., Almanya.
  • 28. LUO, Dang ve Xia Wang (2012), “The Multi-Attribute Grey Target Decision Method for Attribute Value within Three-Parameter Interval Grey Number”, Applied Mathematical Modeling, 36, 1957-1963.
  • 29. ÖZDEMİR, Ali İhsan ve Mustafa Deste, (2009), “Gri İlişkisel Analiz ile Çok Kriterli Tedarikçi Seçimi: Otomotiv Sektöründe Bir Uygulama”, İstanbul Üniversitesi İşletme Fakültesi Dergisi, 38(2), 147-156.
  • 30. PAI, Tzu-Yi; Keisuke Hanaki; Hsin-Hsien Ho ve Chun-Ming Hsieh (2007), “Using Grey System Theory to Evaluate Transportation Effects on Air Quality Trends in Japan”, Transportation Research Part D, 12, 158-156.
  • 31. SHEN, Victor R. L.; Yu-Fang Chung ve Tzer-Shyong Chen (2009), “A Novel Application of Grey system Theory to Information Security (PartI)”, Computer Standarts and Interfaces, 31, 277-281.
  • 32. SOFYALIOĞLU, Çiğdem (2011), “Süreç Hata Modu Etki Analizini Gri Değerlendirme Modeli” Ege Akademik Bakış, 11 (1), 155-164.
  • 33. TRIVEDI, H. V. ve J. K. Singh (2005), “Application of Grey System Theory in the Development of a Runoff Prediction Model”, Biosystems Engineering, 92 (4), 521-526.
  • 34. TSAUR, Ruey-Chyn (2006), “Forecasting Analysis by Fuzzy Grey Model GM(1,1)”, Journal of the Chinese Institute of Industrial Engineers, 23 (5), 415-422.
  • 35. TSENG, Ming-Lang (2009), “A causal and Effect Decision Making Model of Service Quality Expectation Using Grey-Fuzzy DEMATEL Approach”, Expert Systems with Applications, 36, 7738-7748
  • 36. TURSKIS, Zeonas ve Edmundas Kazimieras Zavadskas (2010), “A Novel Method for Multiple Criteria Analysis: Grey Additive Ratio Assessment (ARAS-G) Method” Informatica, 21 (4), 597-610.
  • 37. WANG, Chao-Hung ve Li-Chang Hsu (2008), “Using Genetic Algorithms Grey Theory to Forecast High Technology Industrial Output”, Applied Mathematics and Computation, 195, 256-263.
  • 38. WANG, Kun-Chieh (2011), “A Hybrid Kansei Engineering Design Expert System Based on Grey System Theory and Support Vector Regression”, Expert Systems with Applications, 38, 8738-8750.
  • 39. WANG, Yuhong; Jiangrong Tang ve Wenbin Cao (2012), “Grey Prediction Model-Based Food Security Early Warning Prediction”, Grey Systems: Theory and Application, 2 (1), 13 – 23.
  • 40. WONG, Ching-Chang ve Chia-Chong Chen (1998), “A Simulated Annealing Approach to Switching Grey Prediction Fuzzy Control System Design”, International Journal of System Science, 29 (6), 637- 642.
  • 41. XU, Guoping; Weifeng Tan; Li Qian ve Xiangfen Zhang (2007), “A Novel Conflict Reassignment Method based on Gey Relational Analyis (GRA)”, Pattern Recognition Letters, 28, 2080-2087.
  • 42. XU, Jin; Tao Tan; Mao Tu ve Long Qi (2011), “Improvement of Grey Models by Least Squares”, Expert Systems with Applications, 38, 13961-13966.
  • 43. XU, Xiangzheng; Baichao Chen ve Fangcheng Gan (2009), “Traffic Safety Evaluations Based on Grey System Theory and Neural Network”, Proceedings of 2009 World Congress on Computer Science and Information Engineering, 603-607, 31 Mart – 2 Nisan 2009, Los Angeles, ABD.
  • 44. YAO, Albert W. L.; Chi, S. C. Ve Chen, J. H. (2003), “An improved Grey-based approach for electricity demand forecasting”, Electric Power Systems Research, 67, 217-224.
  • 45. YILMAZ, Esra ve Ferhat Güngör (2010), “Gri İlişkisel Analiz Yöntemine Göre Farklı Sertliklerde Optimum Takım Tutucusunun Belirlenmesi”, 2. Ulusal Tasarım İmalat ve Analiz Kongresi, 1-9, 11-12 Kasım 2010, Balıkesir.
  • 46. ZAVADSKAS, Edmundas Kazimieras; Tatjana Vilutiene; Zeonas Turskis; Jolanta Tamosaitiene (2010), “Contractor Selection for Construction Work: By Applying SAW-G and TOPSIS Grey Techniques”, Journal of Business Economics and Management, 34-55.
  • 47. ZHONGMIN, Song ve Yan Xizu (2009), “Critical Path for Grey Interval Project Network”, Proceedings of 2009 IEEE International Conference of Grey System and Intelligent Services, 10-12 Kasım 2009, Nanjing, China, 697-701.

GRİ SİSTEM TEORİSİ VE UYGULAMALARI: BİLİMSEL YAZIN TARAMASI

Year 2013, Volume: 18 Issue: 3, 187 - 200, 01.09.2013

  Yrd.Doç.Dr.Erdal Aydemir Doç.Dr.Fevzi Bedir Yrd.Doç.Dr.Gültekin Özdemir

Abstract

Son yüzyılda bilim ve teknolojide meydana gelen gelişmeler farklı
sistem teorilerinin ortaya çıkmasına neden olmuştur. Özellikle giderek
karmaşıklaşan sistemlerin çözümlenebilmesi ve modellenebilmesi için eksik
bilgi ve/veya tamamlanmamış bilgi içeren küçük örnekleme sahip ve
herhangi bir dağılım ihtiyacı olmayan gri sistem teorisi yaklaşımı
önerilmiştir.
Bu çalışmada, gri sistem teorisi ve uygulamaları hakkında ağırlıklı
olarak son onbeş yılı kapsayan detaylı bilimsel yazın araştırması yapılmıştır.
Elde edilen çıkarımlar ile gri sistem teorisi, akademik öğretim ve endüstriyel
araştırmalar açısından değerlendirilmiş ve çeşitli önerilerde bulunulmuştur.

Keywords

Gri sistem teorisi gri modelleme gri tahminleme gri ilişki analizi gri kontrol

References

  • 1. AKAY, Diyar (2011), “Grey Relational Analysis Based on Instance Based Learning Approach for Classification of Risks of Occupational Low Back Disorders”, Safety Science, 49 (8-9), 1277-1282.
  • 2. AKAY, Diyar ve Mehmet Atak (2007), “Grey prediction with rolling mechanism for electricity demand forecasting of Turkey”, Energy, 32 (9), 1670-1675.
  • 3. AKAY, Diyar ve Osman Kulak (2007), “Evaluation of product design concepts using grey-fuzzy information axiom”, Journal of Grey System, 19 (3), 221-234.
  • 4. ASKARI, Mehdi ve Hadi Askari (2011), “Time Series Grey System Prediction-based Models: Gold Price Forecasting”, Trends in Applied Sciences Research, 6 (11), 1287-1292.
  • 5. CHEN, H. W. ve Ni-Bin Chang (2000), “Prediction Analysis of Solid Waste Generation based on Grey Fuzzy Dynamic Modeling”, Resources, Conservation and Recycling, 29, 1-18.
  • 6. CHENG, Biao (1986), “The Grey Control on Industrial Process”, Huangshi College Journal, 1, 11-23.
  • 7. CHIOU, Hua-Kai; Gwo-Hshiung Tzeng; Chih-Kang Cheng ve Gia-Shie Liu (2004), “Grey Prediction Model for Forecasting the Planning Material of Equipment Spare Parts in Navy of Taiwan”, Automation Congress, 17, 315-320.
  • 8. DENG, Ju-Long (1982), “Control Problems of Grey Systems”, Systems & Control Letters, 1 (5), 288-294.
  • 9. EŞME, Uğur; Melih Bayramoğlu ve Hakan Aydın (2009), “Galetaj İşleminin Taguchi Tabanlı Gri İlişki Çözümlemesi İle Optimizasyonu”, 2. Mühendislik Sempozyumu, 30 Nisan-1 Mayıs 2009, Çankaya Üniversitesi, Ankara.
  • 10. GUO, R. ve D. Guo (2009), “Random Fuzzy Variable Foundation for Grey Diferential Equation Modeling”, Soft Computing, 13, 185-201.
  • 11. HE, Rong-Song ve Shung-Fa Hwang (2007), “Damage Detection by a Hybrid Real-Parameter Genetic Algorithm under the assistance of grey relation analysis”, Engineering Applications of Artificial Intelligence, 20, 980-992.
  • 12. HSU, Che-Chiang ve Chia-Yon Chen (2003), “Applications of improved grey prediction model for power demand forecasting”, Energy Conversion and Management, 44, 2241-2249.
  • 13. HSU, Chaug-Ing ve Yuh-Horng Wen (1998), “Improved Grey Prediction Models for the Trans-Pacific Air Passenger Market” Transportation Planning and Technology, 22, 87-107.
  • 14. HSU, Li-Chang (2003), “Applying the Grey Prediction Model to the Global Integrated Circuit Industry”, Technological Forecasting & Social Change, 70(6), 563–574.
  • 15. HUANG, Kuang-Yu ve Chuen-Jiuan Jane (2009), “A Hybrid Model for Stock Market Forecasting and Portfolio Selection Based on ARX, Grey System and RS Theories”, Expert Systems with Applications, 36, 5387- 5392.
  • 16. HUANG, Shiuh-Jer ve Chien-Lo Huang (1994), “Control of an Inverted Pendulum Using Grey Prediction Model”, Proceedings of IEEE Conference Industrial Applications, 3, Denver, CO, ABD, 1936-1941.
  • 17. HUANG, Shiuh-Jer ve Ruey-Jing Lian (1998), “A Fuzzy Controller with Grey Prediction for Robot Motion Control”, International Journal of System Science, 29 (4), 341-351.
  • 18. KAYACAN, Erdal ve Okyay Kaynak (2011), “Single-step Ahead Prediction based on the Principle of Concatenation Using Grey Predictors”, Expert Systems with Applications, 38, 9499-9505.
  • 19. KAYACAN, Erdal; Barış Ulutaş ve Okyay Kaynak (2010), “Grey system theory-based models in time series prediction”, Expert Systems With Applications, 37, 1784-1789.
  • 20. KÖSE, Erkan; İzzettin Temiz ve Serpil Erol (2011), “Grey System Approach for Economic Order Quantity Models under Uncertainty”, The Journal of Grey System, 1, 71-82.
  • 21. KURT, Günseli (2008), “Gri İlişki Çözümlemesi ve Ridit Çözümlemesi Kullanılarak Üniversite Öğrencilerinin Çeşitli Kaygılarının Değerlendirilmesi”, Akademik Bakış, 14, 1-10.
  • 22. LI, Qiao-Xing ve Liu, Si-Feng (2008), “The Foundation of the Grey Matrix and the Grey Input-Output Analysis”, Applied Mathematical Modeling, 32, 267-291.
  • 23. LIN, Chan-Ben; Shun-Feng Su, Yen-Tseng Hsu (2001), “High-precision forecast using grey models”, International Journal of Systems Science, 32 (5), 609-619.
  • 24. LIN, Yen-Hung; Jean-Shyan Wang ve Ping-Feng Pai (2004), “A Grey Prediction Model With Factor Analysis Technique”, Journal of the Chinesse Institute of Industrial Engineers, 21 (6), 535-542.
  • 25. LIU, Hu-Chen; Long Liu; Qi-Hao Bian; Qin-Lian Lin; Na Dong ve Peng-Cheng Xu (2011), “Failure Mode and Effect Analysis Using Fuzzy Evidental Reasoning Approach and Grey Theory”, Expert Systems with Applications, 38, 4403-4415.
  • 26. LIU, Sifeng ve Yi Lin, (2006), Grey Information,Springer, 503 s., Almanya.
  • 27. LIU, Sifeng ve Yi Lin, (2010), Grey Systems Theory and Applications, Springer, 379 s., Almanya.
  • 28. LUO, Dang ve Xia Wang (2012), “The Multi-Attribute Grey Target Decision Method for Attribute Value within Three-Parameter Interval Grey Number”, Applied Mathematical Modeling, 36, 1957-1963.
  • 29. ÖZDEMİR, Ali İhsan ve Mustafa Deste, (2009), “Gri İlişkisel Analiz ile Çok Kriterli Tedarikçi Seçimi: Otomotiv Sektöründe Bir Uygulama”, İstanbul Üniversitesi İşletme Fakültesi Dergisi, 38(2), 147-156.
  • 30. PAI, Tzu-Yi; Keisuke Hanaki; Hsin-Hsien Ho ve Chun-Ming Hsieh (2007), “Using Grey System Theory to Evaluate Transportation Effects on Air Quality Trends in Japan”, Transportation Research Part D, 12, 158-156.
  • 31. SHEN, Victor R. L.; Yu-Fang Chung ve Tzer-Shyong Chen (2009), “A Novel Application of Grey system Theory to Information Security (PartI)”, Computer Standarts and Interfaces, 31, 277-281.
  • 32. SOFYALIOĞLU, Çiğdem (2011), “Süreç Hata Modu Etki Analizini Gri Değerlendirme Modeli” Ege Akademik Bakış, 11 (1), 155-164.
  • 33. TRIVEDI, H. V. ve J. K. Singh (2005), “Application of Grey System Theory in the Development of a Runoff Prediction Model”, Biosystems Engineering, 92 (4), 521-526.
  • 34. TSAUR, Ruey-Chyn (2006), “Forecasting Analysis by Fuzzy Grey Model GM(1,1)”, Journal of the Chinese Institute of Industrial Engineers, 23 (5), 415-422.
  • 35. TSENG, Ming-Lang (2009), “A causal and Effect Decision Making Model of Service Quality Expectation Using Grey-Fuzzy DEMATEL Approach”, Expert Systems with Applications, 36, 7738-7748
  • 36. TURSKIS, Zeonas ve Edmundas Kazimieras Zavadskas (2010), “A Novel Method for Multiple Criteria Analysis: Grey Additive Ratio Assessment (ARAS-G) Method” Informatica, 21 (4), 597-610.
  • 37. WANG, Chao-Hung ve Li-Chang Hsu (2008), “Using Genetic Algorithms Grey Theory to Forecast High Technology Industrial Output”, Applied Mathematics and Computation, 195, 256-263.
  • 38. WANG, Kun-Chieh (2011), “A Hybrid Kansei Engineering Design Expert System Based on Grey System Theory and Support Vector Regression”, Expert Systems with Applications, 38, 8738-8750.
  • 39. WANG, Yuhong; Jiangrong Tang ve Wenbin Cao (2012), “Grey Prediction Model-Based Food Security Early Warning Prediction”, Grey Systems: Theory and Application, 2 (1), 13 – 23.
  • 40. WONG, Ching-Chang ve Chia-Chong Chen (1998), “A Simulated Annealing Approach to Switching Grey Prediction Fuzzy Control System Design”, International Journal of System Science, 29 (6), 637- 642.
  • 41. XU, Guoping; Weifeng Tan; Li Qian ve Xiangfen Zhang (2007), “A Novel Conflict Reassignment Method based on Gey Relational Analyis (GRA)”, Pattern Recognition Letters, 28, 2080-2087.
  • 42. XU, Jin; Tao Tan; Mao Tu ve Long Qi (2011), “Improvement of Grey Models by Least Squares”, Expert Systems with Applications, 38, 13961-13966.
  • 43. XU, Xiangzheng; Baichao Chen ve Fangcheng Gan (2009), “Traffic Safety Evaluations Based on Grey System Theory and Neural Network”, Proceedings of 2009 World Congress on Computer Science and Information Engineering, 603-607, 31 Mart – 2 Nisan 2009, Los Angeles, ABD.
  • 44. YAO, Albert W. L.; Chi, S. C. Ve Chen, J. H. (2003), “An improved Grey-based approach for electricity demand forecasting”, Electric Power Systems Research, 67, 217-224.
  • 45. YILMAZ, Esra ve Ferhat Güngör (2010), “Gri İlişkisel Analiz Yöntemine Göre Farklı Sertliklerde Optimum Takım Tutucusunun Belirlenmesi”, 2. Ulusal Tasarım İmalat ve Analiz Kongresi, 1-9, 11-12 Kasım 2010, Balıkesir.
  • 46. ZAVADSKAS, Edmundas Kazimieras; Tatjana Vilutiene; Zeonas Turskis; Jolanta Tamosaitiene (2010), “Contractor Selection for Construction Work: By Applying SAW-G and TOPSIS Grey Techniques”, Journal of Business Economics and Management, 34-55.
  • 47. ZHONGMIN, Song ve Yan Xizu (2009), “Critical Path for Grey Interval Project Network”, Proceedings of 2009 IEEE International Conference of Grey System and Intelligent Services, 10-12 Kasım 2009, Nanjing, China, 697-701.
There are 47 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

  Yrd.Doç.Dr.Erdal Aydemir This is me

Doç.Dr.Fevzi Bedir This is me

Yrd.Doç.Dr.Gültekin Özdemir This is me

Publication Date September 1, 2013
Published in Issue Year 2013 Volume: 18 Issue: 3

Cite

APA Aydemir, .Y., Bedir, D., & Özdemir, Y. (2013). GRİ SİSTEM TEORİSİ VE UYGULAMALARI: BİLİMSEL YAZIN TARAMASI. Süleyman Demirel Üniversitesi İktisadi Ve İdari Bilimler Fakültesi Dergisi, 18(3), 187-200.