Criteria importance theory for multicriterial decision making problems with a hierarchical structure
We develop a new model of multicriterial decision analysis with a hierarchical criteria structure. The suggested methodology is based on a rigorously defined specification of qualitative and quantitative im- portance of criteria of all levels of the hierarchy, and enables the comparison of decision alternatives for different types of criteria scale.
The paper proposes decision rules that allow comparing alternatives by preference for different cases of information regarding criteria importance and growth of preferences along criteria scale. These rules work within the framework of the new model of decision making situation with criteria forming a multi-level structure. This model was previously developed by the authors. The created methodology is free from fundamental drawbacks that cannot be avoided in principle, which are intrinsic to the analytic hierarchy process and all other known methods ofproblem solving with hierarchical structure.
A new hierarchical model of decision making under multiple criteria that form a multilevel system is proposed. With this model, one can use approaches and methods of the criteria importance theory to collect information about the importance of criteria and use it to analyze practical multicriterial decision making problems in a correct way.
The problem of management of the nonlinear object which is exposed to impact of uncontrollable indignations, is considered in a key of differential game. Synthesis of optimum managements is made with application of transformation of the nonlinear equation of initial object in the differential equation with the parameters depending on a condition. The square-law functional of quality allows to formulate synthesis conditions in the form of need of search of solutions of the equation of Rikkati. The solution of the equation of Rikkati with the parameters depending on a condition, is in a symbolical view with application of algebraic methods that allows to generalize a number of earlier published theoretical results, to receive rather constructive decisions in a number of statements of problems of management.
The article is based upon the fact that the growing demand for master data management systems has not yet produced a commonly accepted metodology for their design and development/ The article offers two mathematical models? that allow a master data management systems designer a way to formally describe their system before development and verify the system quality by measurements? unique to master data management systems.