논문내용 |
The reliability of the engineering systems operating in the real world has an important meaning. Suchreliability becomes difficult to obtain an accurate reliability due to inaccurate data, wrong manipulation,etc. To solve this problems, the fuzzy sets have been used. There are several fuzzy sets used tocalculate reliability. In the fuzzy sets, it is expressed as a real number uA(x), which is thebelongingness degree of the fuzzy set. uA(x) ∈ [0,1]. In the intuitionistic fuzzy sets, the belongingnessdegree of the fuzzy set is expressed as uA(x), and the non-belongingness degree is described as vA(x) respectively. uA(x), vA(x) ∈ [0,1], 0 ≤ uA(x) + vA(x) ≤ 1. In the interval-valued intuitionistic fuzzysets, the belongingness degree of the fuzzy set is expressed as [uAL(x), uAU(x)] and thenon-belongingness degree is represented as [vAL(x), vAU(x)] respectively. uAL(x), uAU(x), vAL(x), vAU(x) ∈ [0,1], uAU(x) + vAU(x) ≤ 1, 0 ≤ uAL(x) + uAU(x) ≤ 1, 0 ≤ vAL(x) + vAU(x) ≤ 1. In thePythagorean fuzzy sets, the belongingness degree in a fuzzy set is expressed as uA(x), and thenon-belongingness degree is expressed as vA(x), uA(x), vA(x) ∈ [0,1], 0 ≤ u2A(xi) + v2A(xi) ≤ 1. Inthis paper, we propose a method for calculating the reliability of the fuzzy engineering systems usingthe interval-valued Pythagorean fuzzy sets that can express flexibility in the Pythagorean fuzzy sets. |