Abstract
The article deals with the problem of multiobjective optimization with regard to the decision making on the use of the forces and facilities of the EMERCOM of Russia (Ministry of the Russian Federation for Affairs for Civil Defence, Emergencies and Elimination of Consequences of Natural Disasters). The purpose of the article is to create a method for prompt and reasonable calculations when making a decision on the use of the EMERCOM forces and facilities to eliminate the consequences of emergency situations. The proposed method uses fuzzy sets, fuzzy logic, and the Mamdani fuzzy inference algorithm. The work gives a substantial example illustrating the application of the mentioned theory to solve the problem of choosing the optimal version of the task performed by the facilities of the EMERCOM of Russia. Regarding the novelty, it should be noted that the quality characteristics of the solutions are fuzzy and not unambiguously defined, and therefore allow applying the effective mathematical apparatus of fuzzy sets theory, fuzzy logic and the Mamdani fuzzy inference algorithm in solving this problem.
Highlights
Introduction vector criterionFF(uu) = (ff1(uu), ff2(uu), . . . , ffkk(uu))
In the process of making a decision to use the facilities of EMERCOM of Russia during the elimination of the consequences of emergency situations, it is often necessary to choose the optimal variant of the task accomplishment
A fuzzy set A^A on a universal set UU is a collection of pairs (μμ^AA(uu), uu), where μμA^A(uu) – is the membership function, which indicates the membership degree of an arbitrary element of the universal set to a fuzzy set ^AA
Summary
If the variant quality is estimated using a single efficiency criterion, the solution of this problem may turn out to be very complicated (even unsolvable). The solution principle would be to choose an option with the optimal efficiency criterion value. The task solution option which is the best from the point of view of some criteria can turn out to be very bad according to other criteria. Problems of this type belong to the class of problems of vector (multiobjective) optimization [1,2,3,4,5].
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