期刊名称：International Journal of Innovative Research in Science, Engineering and Technology
印刷版ISSN：2347-6710
电子版ISSN：2319-8753
出版年度：2014
卷号：3
期号：11
页码：17664
DOI：10.15680/IJIRSET.2014.0311081
出版社：S&S Publications
摘要：System reliability modeling in terms of fuzzy set theory is basically utilizing the type-1 fuzzy sets,where the fuzzy membership is assumed as point-wise positive function ranging on [0,1]. Such a practice might not bepractical because an interval valued membership may reflect the vagueness of system better according to humanthinking patterns. The type-2 fuzzy set is more capable to handle the uncertainty of system using type-1 fuzzy set. Theconcept of type-2 fuzzy set (T2FS) was introduced by Zadeh (1965) as an extension of type-1 fuzzy set (ordinary fuzzysets) to identify the uncertainties present in fuzzy systems. With fuzzy sets of higher type (e.g. type-2), the fuzziness ofthe relations is increased to handle inexact information. The interval type-2 fuzzy sets characterized with lower andupper membership function is recommended to use in reliability evaluation problems as it is easy for handlingcalculations in fuzzy planes.In this work, we explore the basics of the interval type-2 fuzzy sets theory and illustrate its application in terms ofdevelopment of reliability models for Power system reliability evaluation problems and Preventive Maintenance (PM)suggestions with example.
