발간년도 : [2024]
| 논문정보 |
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| 논문명(한글) |
[Vol.19, No.2] Reliability Analysis of Fuzzy Engineering Systems Based on Cubic Pythagorean Fuzzy Sets |
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| 논문투고자 |
Sang Yeop Cho |
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| 논문내용 |
When designing and operating engineering systems, the reliability of these systems become an important issue. This means that it is necessary to deal with uncertainty and uncorrectness. Fuzzy set theory provide a way to deal with the reliability of systems containing such ambiguity. Fuzzy sets express the belongingness degree as a real number between 0 and 1. Intuitionistic fuzzy sets describe the belongingness degree and non-belongingness degree as real number between 0 and 1, respectively. Pythagorean fuzzy sets are a fuzzy set that solves the problem where the sum of the belongingness degree and non-belongingness degree exceeds 1. Interval-valued Pythagorean fuzzy sets are a set that expresses the upper and lower limits of the Pythagorean fuzzy set as intervals. cubic sets are expressed as the pair of an interval-valued fuzzy set and a fuzzy set. Cubic sets provide a way to handle a single parameter when analyzing the parameter as a interval. In addition, the Cubic Pythagorean fuzzy sets are expressed as a pair of an interval-valued Pythagorean fuzzy set and a Pythagorean fuzzy set, so the problem that the sum of the belongingness degree and non-belongingness degree exceeds 1 does not occur. In this study, we propose a method to evaluate the reliability of fuzzy engineering systems based on cubic Pythagorean fuzzy sets. Cubic Pythagorean fuzzy sets can be reduced to cubic sets, Pythagorean fuzzy sets, etc. depending on given conditions. Therefore, it can be said that the method using the cubic Pythagorean fuzzy set implies all of these methods. |
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