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논문명(한글) [Vol.19, No.3] Reliability Assessment of Fuzzy Engineering Systems Using the Multi-fuzzy Sets
논문투고자 Sang Yeop Cho
논문내용 When we operate the fuzzy engineering systems, Several errors may can occur due to system errors, uncertain data, and incomplete data etc.. Therefore, a method to deal with such uncertainty and inaccuracy of data is needed. The fuzzy set theory is proposed to appropriate method to deal with these indeterministics such as uncertain, vague, incomplete data, etc.. The fuzzy sets express the belongingness degree as a real number between 0 and 1.  Intuitionistic fuzzy sets are a way to solve the limitation of fuzzy sets expressing the belongingness with a single real number. Intuitionistic fuzzy sets describe the belongingness degree and non-belongingness degree as a real number between 0 and 1, respectively. The L-fuzzy sets are a kind of fuzzy sets whose the belongingness degree is expressed not as a simple interval, but as an interval belonging to a complete lattice with mathematical fundamentals. The L-fuzzy sets express the belongingness degree as a value in the complete lattice L. The multi-fuzzy sets represent the those belongingness degree as multiple belongingnesses. The multi-fuzzy sets are extensions of fuzzy sets, intuitionistic fuzzy sets, and L-fuzzy sets. Therefore, the multi-fuzzy sets may have the flexibility to be used in places using those fuzzy sets. The method can be applied to the engineering systems and the multi-criteria decision-making systems and may have flexibility to use in the engineering systems that use the fuzzy sets, intuitionistic fuzzy sets, and L-fuzzy sets for the reliability assessment.
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