발간년도 : [2019]
| 논문정보 |
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| 논문명(한글) |
[Vol.14, No.4] Reliability Analysis of Fuzzy Systems Based on Pythagorean Fuzzy Sets |
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| 논문투고자 |
Sang Yeop Cho |
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| 논문내용 |
Reliability models play an important role when we design the engineering systems. In conventional reliability model we attempts to describe the values for the reliability of the systems with accurateness. But in real world it is often difficult to get the these exact values. To overcome these problem the fuzzy set theory is used in the reliability model for engineering systems. In the fuzzy sets, the reliability is represented by a real number as the degree of membership uA(x) of the fuzzy set. uA(x) ∈ [0,1]. In the interval valued fuzzy sets, the reliability is described by an interval [uAL(x),uAU(x)] as the degree of membership of the interval valued fuzzy sets. 0 ≤ uAL(x) ≤ uAU(x) ≤ 1, [uAL(x),uAU(x)] ⊆ [0,1]. In the intuitionistic fuzzy sets to express the belief in a belief systems, the reliability is represented by the degree of true membership uA(x) and degree of falsity membership UA(x). uA(x), UA(x) ∈ [0,1], 0 ≤ uA(x) + UA(x) ≤ 1. In the neurotrophic sets that can represent indeterminacy the reliability is represented as a true membership value TA(x), an indeterminacy membership value IA(x), and a false membership value FA(x). In the multicriteria decision making, the decision maker may or may not provide a degree of xi satisfying the criteria Cj. In this case, the preference uCj(xi) for xi can be 0 ≤ uCj(xi) ≰ 1, which is difficult to process with the conventional fuzzy sets. In this paper, we propose a method to evaluate the reliability of decision making system using Pythagorean fuzzy sets which can be used to solve this problem. |
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