Yıl 2018, Cilt 22, Sayı 1, Sayfalar 153 - 159 2018-03-23

A Fuzzy Modeling Approach for Replicated Response Measures Based on Fuzzification of Replications with Descriptive Statistics and Golden Ratio

Özlem TÜRKŞEN [1]

440 98

Some of the experimental designs can be composed of replicated response measures in which the replications cannot be identified exactly and may have uncertainty different than randomness. Then, the classical regression analysis may not be proper to model the designed data because of the violation of probabilistic modeling assumptions. In this case, fuzzy regression analysis can be used as a modeling tool. In this study, the replicated response values are newly formed to fuzzy numbers by using descriptive statistics of replications and golden ratio. The main aim of the study is obtaining the most suitable fuzzy model for replicated response measures through fuzzification of the replicated values by taking into account the data structure of the replications in statistical framework. Here, the response and unknown model coefficients are considered as triangular type-1 fuzzy numbers (TT1FNs) whereas the inputs are crisp. Predicted fuzzy models are obtained according to the proposed fuzzification rules by using Fuzzy Least Squares (FLS) approach. The performances of the predicted fuzzy models are compared by using Root Mean Squared Error (RMSE) criteria. A data set from the literature, called wheel cover component data set, is used to illustrate the performance of the proposed approach and the obtained results are discussed. The calculation results show that the combined formulation of the descriptive statistics and the golden ratio is the most preferable fuzzification rule according to the well-known decision making method, called TOPSIS, for the data set.
Replicated response measures, Fuzzy least squares; Triangular type-1 fuzzy numbers; Golden ratio
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Bibtex @ { sdufenbed425685, journal = {Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi}, issn = {}, eissn = {1308-6529}, address = {Süleyman Demirel Üniversitesi}, year = {2018}, volume = {22}, pages = {153 - 159}, doi = {10.19113/sdufbed.89217}, title = {A Fuzzy Modeling Approach for Replicated Response Measures Based on Fuzzification of Replications with Descriptive Statistics and Golden Ratio}, key = {cite}, author = {TÜRKŞEN, Özlem} }
APA TÜRKŞEN, Ö . (2018). A Fuzzy Modeling Approach for Replicated Response Measures Based on Fuzzification of Replications with Descriptive Statistics and Golden Ratio. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22 (1), 153-159. Retrieved from http://dergipark.gov.tr/sdufenbed/issue/37055/425685
MLA TÜRKŞEN, Ö . "A Fuzzy Modeling Approach for Replicated Response Measures Based on Fuzzification of Replications with Descriptive Statistics and Golden Ratio". Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (2018): 153-159 <http://dergipark.gov.tr/sdufenbed/issue/37055/425685>
Chicago TÜRKŞEN, Ö . "A Fuzzy Modeling Approach for Replicated Response Measures Based on Fuzzification of Replications with Descriptive Statistics and Golden Ratio". Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (2018): 153-159
RIS TY - JOUR T1 - A Fuzzy Modeling Approach for Replicated Response Measures Based on Fuzzification of Replications with Descriptive Statistics and Golden Ratio AU - Özlem TÜRKŞEN Y1 - 2018 PY - 2018 N1 - DO - T2 - Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi JF - Journal JO - JOR SP - 153 EP - 159 VL - 22 IS - 1 SN - -1308-6529 M3 - UR - Y2 - 2018 ER -
EndNote %0 Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi A Fuzzy Modeling Approach for Replicated Response Measures Based on Fuzzification of Replications with Descriptive Statistics and Golden Ratio %A Özlem TÜRKŞEN %T A Fuzzy Modeling Approach for Replicated Response Measures Based on Fuzzification of Replications with Descriptive Statistics and Golden Ratio %D 2018 %J Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi %P -1308-6529 %V 22 %N 1 %R %U
ISNAD TÜRKŞEN, Özlem . "A Fuzzy Modeling Approach for Replicated Response Measures Based on Fuzzification of Replications with Descriptive Statistics and Golden Ratio". Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 / 1 (Mart 2018): 153-159.