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Fuzzy Partitioning with Fuzzy Equalization Given Two Points and Partition Cardinality  

Kim, Kyeong-Taek (Department of Industrial and Management Engineering, Hannam University)
Kim, Chong-Su (Department of Industrial and Management Engineering, Hannam University)
Kang, Sung-Yeol (College of Business Administration, Hongik University)
Publication Information
Journal of Korean Society of Industrial and Systems Engineering / v.31, no.4, 2008 , pp. 140-145 More about this Journal
Abstract
Fuzzy partition is a conceptual vehicle that encapsulates data into information granules. Fuzzy equalization concerns a process of building information granules that are semantically and experimentally meaningful. A few algorithms generating fuzzy partitions with fuzzy equalization have been suggested. Simulations and experiments have showed that fuzzy partition representing more characteristics of given input distribution usually produces meaningful results. In this paper, given two points and cardinality of fuzzy partition, we prove that it is not true that there always exists a fuzzy partition with fuzzy equalization in which two of points having peaks fall on the given two points. Then, we establish an algorithm that minimizes the maximum distance between given two points and adjacent points having peaks in the partition. A numerical example is presented to show the validity of the suggested algorithm.
Keywords
Fuzzy Partitions; Fuzzy Equalization;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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