발간년도 : [2015]
| 논문정보 |
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| 논문명(한글) |
[Vol.10, No.5] Reliability Analysis of Systems Using Interval Valued Neutrosophic Sets |
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| 논문투고자 |
Sang Yeop Cho |
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| 논문내용 |
There are many various methods to deal with the reliability of systems. Fuzzy set theory is the one of the methods in order to evaluate the reliability of systems. In the fuzzy set theory the membership degree uA(x) is represented by real number, where uA(x) ∈[0,1]. Sometimes the membership degree of the fuzzy sets can not be represented by real number because of the membership degree itself may has the vagueness. To resolve the this problem the interval valued fuzzy sets are introduced. In the interval valued fuzzy sets the membership degree uA(x) is represented by interval, where uA(x) ⊆ [0,1]. In some domains we need the concept of the truth membership function tA(x) to supported by the evidence and the falsity membership function fA(x) against by the evidence, where tA(x), fA(x) ∈ [0,1]. In order to deal with these the intuitionistic fuzzy sets are proposed. The classic sets, the fuzzy sets, the interval valued fuzzy sets, and the intuitionistic sets are able to only capture the concept of the incompleteness not the indeterminacy of information. In this study we propose a new way to evaluate the reliability of systems based on the interval neutrosophic sets. The interval neutrosophic set is a part of the neutrosophic sets which are able to deal with the nature of neutralities. In the interval neutrosophic sets these are consisted of three components such as truth membership function TA(x), indeterminacy membership function IA(x), and falsity membership function FA(x).TA(x), IA(x), FA(x) ⊆ [0,1]. Therefore we can manipulate the indeterminacy based on the indeterminacy membership function IA(x) of the interval neutrosophic sets. The proposed method may be used to analyze the reliability of systems which have the concept of the indeterminacy. |
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