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Evaluation of Fuzzy Pareto Solution Set by Using Fuzzy Relation Based Clustering Approach For Fuzzy Multi-Response Experiments
Author(s) -
Özlem Türkşen,
Ayşen Apaydın
Publication year - 2013
Publication title -
sakarya university journal of science
Language(s) - English
Resource type - Journals
eISSN - 2147-835X
pISSN - 1301-4048
DOI - 10.5505/saufbe.2013.70288
Subject(s) - fuzzy logic , relation (database) , pareto principle , fuzzy set , fuzzy clustering , mathematics , fuzzy classification , computer science , data mining , artificial intelligence , mathematical optimization
The solution set of a multi-response experiment is characterized by Pareto solution set. In this paper, the multi-response experiment is dealed in a fuzzy framework. The responses and model parameters are considered as triangular fuzzy numbers which indicate the uncertainty of the data set. Fuzzy least square approach and fuzzy modified NSGA-II (FNSGA-II) are used for modeling and optimization, respectively. The obtained fuzzy Pareto solution set is grouped by using fuzzy relational clustering approach. Therefore, it could be easier to choose the alternative solutions to make better decision. A fuzzy response valued real data set is used as an application

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