Abstract
In this paper, the concept of vague sets is extended by idea of interval valued vague sets. Also we have introduced: definition of interval valued triangular vague set and arithmetic operations between two interval valued triangular vague sets. Further, a new method has been developed for analyzing the fuzzy system reliability of a series and parallel system using interval valued triangular vague sets, where the reliability of each component of a system is represented by an interval valued triangular vague set defined in the universe of discourse [0,1]. The developed method has been used to analyze the fuzzy reliability of a computer system. The proposed method can model and analyze the fuzzy system reliability in a more flexible and intelligent manner in comparison to the method given by Chen [14]. The major advantage of the proposed approach (the concept of interval valued vague sets) over the existing approaches [7, 8, 14] is that the proposed approach separates the positive and negative evidence for the membership of an element in a set. Also in the proposed approach the values of the membership and non-membership of an element in a set are intervals instead of a single real number.
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