Reliability Analysis of Systems Using Interval Valued Neutrosophic Sets
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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 is represented by real number, where ∈ . 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 is represented by interval, where ⊆ . In some domains we need the concept of the truth membership function to supported by the evidence and the falsity membership function against by the evidence, where , ∈ . 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 , indeterminacy membership function , and falsity membership function . , , ⊆ . Therefore we can manipulate the indeterminacy based on the indeterminacy membership function of the interval neutrosophic sets. The proposed method may be used to analyze the reliability of systems which have the concept of the indeterminacy.
Abstract
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 is represented by real number, where ∈ . 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 is represented by interval, where ⊆ . In some domains we need the concept of the truth membership function to supported by the evidence and the falsity membership function against by the evidence, where , ∈ . 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 , indeterminacy membership function , and falsity membership function . , , ⊆ . Therefore we can manipulate the indeterminacy based on the indeterminacy membership function of the interval neutrosophic sets. The proposed method may be used to analyze the reliability of systems which have the concept of the indeterminacy.
참고문헌 (16)
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