The goal of the paper is improvement of the method of solving the problem of multicriteria synthesis of robust control multimass electromechanical systems by constructing a Pareto-optimal solutions, and taking into account the binary preference relations
of local optimization criteria using multiswarm stochastic multiagent optimization of particle swarm, which reduces the time of determining the parameters of robust controllers multimass electromechanical systems and meet the diverse requirements that apply to the such systems operation in different modes.
Similar to Definition 1, the concept of fuzzy preference relation
should be defined in the following.
2) A preference relation
is a binary relation on a choice set X that is and negative transitive.
nxn] is called a reciprocal fuzzy preference relation
(FPR), such that [r.
When the cardinality of X is small, the fuzzy preference relation
may be conveniently represented by a n x n matrix P = [([p.
A multiplicative preference relation
on a set of alternatives X is represented by matrix A, with A usually assumed a multiplicative reciprocal:
The preference relation
based on the utility presented above is given by Equation (6).
Therefore fuzzy binary relation on X is some time called fuzzy preference relation
A preference relation
over a set [OMEGA] is a transitive binary relation [?
Indeed, we do not require the existence of a preference relation
that rationalizes choices at all--all that is required is choice behavior.
Secondly, this paper introduces two aggregation operators in the technology project to deal with two situations of technology project assessment respectively, including linguistic and subjective information and pair comparison of preference relation
Prioritised goals are the ordinal counterpart to weighted goals: instead of numerical weights attached to goals (expressed as propositional formulas), we have a priority relation on goals, from which a preference relation
on the set of bundles can be drawn.