ÜÇGENİN GERGONNE NOKTASI YARDIMIYLA ÜÇGENSEL FUZZY SAYILARI SIRALAMA YÖNTEMİ

Yıl 2016, Cilt: 4 Sayı: 1, 29 - 38, 11.03.2016

Handan Akyar Emrah Akyar

https://doi.org/10.20290/btdb.11067

Öz

Bu çalışmada, bir üçgenin Gergonne noktası yardımıyla, üçgensel fuzzy sayıları sıralamak için yeni bir sıralama yöntemi sunulmaktadır. Sunulan yöntem literatürdeki mevcut sıralama yöntemlerinin eksikliklerini gidermektedir. Verilen sıralama yöntemi, üçgensel fuzzy sayıların yanında aynı ağırlık merkezine sahip üçgensel fuzzy sayılarla birlikte, gerçel (crisp) sayıları da sıralayabilmektedir.

Anahtar Kelimeler

Üçgensel fuzzy sayı, Gergonne noktası; üçgensel fuzzy sayıları sıralama

Kaynakça

• Akyar E. A Fictitious Play Algorithm for Matrix Games with Fuzzy Payoffs, Abstr. Appl. Anal., Volume 2012, 12 pages, 2012. Article ID 950482.
• Akyar E, Akyar H, Düzce,SA. Fuzzy Risk Analysis Based on a Geometric Ranking Method for Generalized Trapezoidal Fuzzy Numbers, J. Intell. Fuzzy Syst., 25(1):209–217, 2013.
• Barajas M, Agard B. Improved Fuzzy Ranking Procedure for Decision Making in Product Design, Int. J. Prod. Res., 48(18):5433–5453, 2010.
• Björk KM. An Analytical Solution to a Fuzzy Economic Order Quantity Problem, Internat. J. Approx. Reason., 50(3):485–493, 2009.
• Chen SJ, ChenSM. A New Method for Handling Multicriteria Fuzzy Decision-Making Problems Using FN-IOWA Operators, Cybernet Syst., 34(2):109–137, 2003.
• Marszalek A, Burczynski T.Modeling and Forecasting Financial Time Series with Ordered Fuzzy Candlesticks, Inform. Sci., 273:144–155, 2014.
• Murakami S, Maeda S, Imamura S. Fuzzy Decision Analysis on the Development of Centralized Regional Energy Control System, Pergamon; 1983, p. 363–368.
• Xie N, Xin J.Interval Grey Numbers Based Multi-Attribute Decision Making Method for Supplier Selection, Kybernetes, 43(7):1064–1078, 2014.
• Yue W, Cai Y, Rong Q, Li C, Ren L.A Hybrid Life-Cycle and Fuzzy set-pair Analyses Approach for Comprehensively Evaluating Impacts of Industrial Wastewater Under Uncertainty, J. Clean. Prod., :57–68, 2014.
• JainR. Decision-Making in the Presence of Fuzzy Variables, IEEE Trans. Syst. Man Cybern., (6):698–703, 1976.
• Yager RR. On a General Class of Fuzzy Connectives, Fuzzy Sets and Systems, 4(3):235–242, 1980.
• Chen SJ, Chen SM. Fuzzy Risk Analysis Based on the Ranking of Generalized Trapezoidal Fuzzy Numbers, Appl. Intell., 26(1):1–11, 2007.
• Lee LW, ChenSM. Fuzzy Risk Analysis Based on Fuzzy Numbers with Different Shapes and Different Deviations, Expert Syst. Appl., 34(4):2763–2771, 2008.
• Abbasbandy S, Nuraei R, Ghanbari M. Revision of Sign Distance Method for Ranking of Fuzzy Numbers, Iran. J. Fuzzy Syst., 10(4):101–117, 2013.
• EzzatiR, Khezerloo S, ZiariS. Application of Parametric Form for Ranking of Fuzzy Numbers, Iran. J. Fuzzy Syst., 12(1):59–74, 2015.
• Akyar E, Akyar H, DüzceSA. A New Method for Ranking Triangular Fuzzy Numbers, Internat. J. Uncertain. Fuzziness Knowledge-Based Systems, 20(5):729–740, 2012.
• Düzce SA. A New Ranking Method for Trapezial Fuzzy Numbers and its Application to Fuzzy Risk Analysis, J. Intell. Fuzzy Syst., 28(3):1411–1419, 2015.
• KimberlingC. Central Points and Central Lines in the Plane of a Triangle, Math. Mag., 67(3):163– , 1994.
• MartinGE. Transformation Geometry: An Introduction to Symmetry, New York: Springer-Verlag; Gallatly W. Modern Geometry of the Triangle, London, UK: Hodgson; 2nd Edition, 1913.
• Bede B. Mathematics of Fuzzy Sets and Fuzzy Logic, Heidelberg: Springer; 2013.
• LeeKH. First Course on Fuzzy Theory and Applications, Heidelberg: Springer; 2005.