Reliability Analysis of Systems Using Single Valued Neutrosophic Sets
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초록
In this paper we propose a new method to evaluate the reliability of systems based on the neutrosophic sets. Neutrosophic set is a part of neutrosophy which is able to deal with the nature of neutralities. There are many various studies to compute the reliability of systems such as fuzzy sets, interval valued fuzzy sets, intuitionistic fuzzy sets, etc. In fuzzy sets the degree of membership of a fuzzy set represented by a real number between zero and one. Sometimes the degree of membership itself may has the uncertainty and the vagueness. To deal this problem the concept of interval valued fuzzy sets was introduced which resolve the uncertainty of the degree of membership for fuzzy sets. In some applications we need to consider the truth membership to supported by the evidence and the falsity membership against by the evidence. To capture the this concept intuitionistic fuzzy sets was proposed. Intuitionistic fuzzy sets are able to only handle the incompleteness of information not the indeterminacy of information. In neutrosophic sets the concept of indeterminacy is included explicitly as truth membership, indeterminacy membership, and falsity membership. These three components of neutrosophic sets are independent. Therefore we can use the neutrosophic set as the generalized formal framework which generalizes the concept of the classic set, fuzzy set, interval valued fuzzy set, intuitionistic set, etc. The method proposed in the paper may be used to analyze the reliability of systems in various application domains include the concept of indeterminacy.
Abstract
In this paper we propose a new method to evaluate the reliability of systems based on the neutrosophic sets. Neutrosophic set is a part of neutrosophy which is able to deal with the nature of neutralities. There are many various studies to compute the reliability of systems such as fuzzy sets, interval valued fuzzy sets, intuitionistic fuzzy sets, etc. In fuzzy sets the degree of membership of a fuzzy set represented by a real number between zero and one. Sometimes the degree of membership itself may has the uncertainty and the vagueness. To deal this problem the concept of interval valued fuzzy sets was introduced which resolve the uncertainty of the degree of membership for fuzzy sets. In some applications we need to consider the truth membership to supported by the evidence and the falsity membership against by the evidence. To capture the this concept intuitionistic fuzzy sets was proposed. Intuitionistic fuzzy sets are able to only handle the incompleteness of information not the indeterminacy of information. In neutrosophic sets the concept of indeterminacy is included explicitly as truth membership, indeterminacy membership, and falsity membership. These three components of neutrosophic sets are independent. Therefore we can use the neutrosophic set as the generalized formal framework which generalizes the concept of the classic set, fuzzy set, interval valued fuzzy set, intuitionistic set, etc. The method proposed in the paper may be used to analyze the reliability of systems in various application domains include the concept of indeterminacy.
참고문헌 (14)
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