A Hybrid Approach to Failure Analysis Using Stochastic Petri Nets and Ranking Generalized Fuzzy Numbers

Table 12

Fuzzified transitions firing rates with their alpha cuts.

Fuzzified rates	Alpha-cut representation
𝜆1=(35,45,55)	𝜆1=(35+10𝛼;55−10𝛼)
𝜆2=(35,45,55)	𝜆2=(35+10𝛼;55−10𝛼)
𝜆3=(7,8,9)	𝜆3=(7+𝛼;9−𝛼)
𝜆4=(0.3,0.4,0.5)	𝜆4=(0.3+0.1𝛼;0.5−0.1𝛼)
𝜆5=(4,5,6)	𝜆5=(4+𝛼;6−𝛼)
𝜆6=(0.4,0.5,0.6)	𝜆6=(0.4+0.1𝛼;0.6−0.1𝛼)
𝜆7=(3,4,5)	𝜆6=(3+𝛼;5−𝛼)