Study of the simplest indecomposable P-networks with the inverse elements

Analysis of the structural reliability of complex technical systems (STS) is performed using structural functions, built by orthogonalization functions of the algebra of logic (FAL) and the substitution of logical arguments in the FAL probabilities of their truth, logical operations correspond-ing arithmetic. FAL can be both monotonic and nonmonotonic. Non-monotone FAL can be of two types. The first type includes FAL, which have a conjunction in join-reduced normal form (DNF), containing at least one inverse elements, with a direct entry for the inversion in DNF is not found.
The second type consists FAL, which have an abbreviated DNF conjunctions containing inverted elements, ballot papers straight elements.
For monotone structures previously the concept of genome structure has been introduced, which is a vector whose components are the coefficients of the polynomial-out structure, consisting of homogeneous elements. The genome structure keeps in his various properties of the structural construction of the STS and allows us to calculate the integral possibilistic and probabilistic assessment of failure (reliability) for the case of STS as a homogeneous structure (structure consists of homogeneous elements) as well as in the case of heterogeneous structure.
If the structure to introduce inverse elements, in general, this structure will be presented nonmonotonic FAL first type. For nonmonotone patterns the concept of genome structure has been introduced and the integral possibilistic and probabilistic assessment of failure (reliability) of homogeneous and heterogeneous STS have been determined.
The results of investigation of the simplest indecomposable-parallel networks (P-networks) in cases of presence and absence of inverse elements are given.
So the probability integral estimates for structures with inhomogeneous elements are not sensitive to the introduction of the structure in-versnyh elements. The proposed probabilistic assessment of homogeneous structures and possibilistic assessments homogeneous (heterogeneous) structures react to the presence in the structure of inverse elements, and also show the range of variation of integrated indicators of failure (reliability), the structure of STS.