발간년도 : [2018]
| 논문정보 |
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| 논문명(한글) |
[Vol.13, No.5] Fuzzy System Reliability Analysis Using Picture Fuzzy Sets |
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| 논문투고자 |
Sang Yeop Cho |
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| 논문내용 |
Reliability analysis is the important discipline of reliability engineering. In conventional reliability analysis, the reliability of the components of a system is represented as exact values. Obtaining these data under changing environment conditions is often difficult. Hence fuzzy set theory is used to analyze the fuzzy system reliability, where the reliabilities of the components of a system are represented by fuzzy sets. There are various types of fuzzy sets used to evaluate the reliability of the systems such as the fuzzy sets, interval valued fuzzy sets, intutionistic fuzzy sets, picture fuzzy sets. In the fuzzy sets, the degree of membership uA(x) is represented as a real number. In the interval valued fuzzy sets, the degree of membership is represented as an interval [uAL(x), uAU(x)], where uAL(x) is the minimum degree of membership and uAU(x) is the maximum degree of membership. [uAL(x), uAU(x)] ⊆ [0,1]. In the intuitionistic fuzzy sets, the degree of membership consist of uA(x) and vA(x), where uA(x) is the degree of membership and vA(x) is the degree of non-membership. uA(x), vA(x) ∈ [0,1]. In the picture fuzzy sets, the degree of membership consist of uA(x), nA(x), and vA(x), where uA(x) is called the degree of positive membership, nA(x) is called the degree of neutral membership, and vA(x) is called the degree of negative membership. uA(x), nA(x), vA(x) ∈ [0,1]. In this paper we propose the way to analyze the fuzzy system reliability based on the picture fuzzy sets. The picture fuzzy sets have the capability of representing the positive, negative, neutral, and refusal situation. Therefore the picture fuzzy sets become more flexible to describe the reliabilities than the other methods. |
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