A new approach to estimating approximation parameters is developed. In this approach, the distance of the approximating function from a given finite set of points is estimated by a vector criterion ...the components of which are the absolute values of residuals at all points. Using this criterion, the remoteness preference relation is defined, and the nondominated function with respect to this relation is considered to be the best approximating function. Approximation for several preference relations is studied, including the Pareto relation and the relation generated by the information about the equal importance of the criteria. Computational issues are considered and the relationship between the introduced approximating functions and the classical ones (obtained by the methods of least squares, least modulus, and the least maximum absolute value of deviation) are considered.
We develop a statement of the decision-making problem in the presence of information about the importance of criteria groups, give definitions of the relationships of the importance of criteria ...groups, and introduce coefficients of importance and preference relations based on such information. Methods for checking the consistency of information about importance are indicated, and ways of constructing the introduced preference relations are shown. The interrelation of qualitative importance and qualitative probability is revealed.
Methods for the preparation of new amidine-
closo
-borates based on the processes of nucleophilic addition of bifunctional amines containing free functional groups –NH
2
, –SH to nitrile derivatives ...of the
closo
-decaborate and
closo
-dodecaborate anions have been developed. These derivatives can potentially act as agents for
10
B-NCT and serve as starting compounds for further preparation of borylated derivatives by organic chemistry methods. The structures of the obtained compounds have been confirmed by
1
H,
11
B,
13
C NMR spectroscopies and ESI mass spectroscopy.
Methods for the direct synthesis of N-borylated amino acids have been developed. The approach used is based on the interaction of free amino acids and nitrile derivatives of the
closo
-decaborate and
...closo
-dodecaborate anions. All products have been characterized by multinuclear NMR spectroscopy, IR absorption spectroscopy, and ESI mass spectrometry. The structures of two products have been determined by X-ray diffraction.
A new multistage synthesis of the N-borylated dipeptide B
12
-PheGlyOH has been proposed. The approach is based on the reaction of nucleophilic addition of amino acid derivatives to the B
12
H
11
...NCCH
3
–
anion. The products of each stage have been characterized by multinuclear NMR spectroscopy, IR absorption spectroscopy, and ESI mass spectrometry.
The article presents a multicriteria approach to the adaptation of groups of search, explore or research robots to unknown and volatile environment conditions. The basis of this approach is the ...application of multicriteria analysis both at the design stage of a group of mobile robots and at the stage of its adaptation in real-time conditions. It is proposed to maintain a variety of robots by properties and by optimality criteria in order to take into account the preferred mode of operation.
The work is devoted to the study of the process of nucleophilic addition of secondary amines to a multiple bond of the nitrile derivative of the
closo-
decaborate anion (NBu
4
) 2-B
10
H
9
NCCH
3
. ...The process results to the regioselective and stereoselective formation of disubstituted amidines. The process is carried out under mild conditions and allows functionalization of amines of various structure. The compounds obtained are characterized by multinuclear NMR spectroscopy, IR spectroscopy, elemental analysis. For the substances (NBu
4
)2-B
10
H
9
(
E
-NH=C(N(CH
2
)
5
CH
3
) and (NBu
4
)2-B
10
H
9
(
E
-NH=C(N(C
2
H
4
)
2
O) the structures were confirmed by X-ray diffraction.
The article describes a general interdisciplinary approach to the design of robotic groups, using ideas from the multi-criteria analysis of individual decision-making problems. Instead of analysing ...the preferences of a person (a decision-maker), it is proposed to automatically determine preferences for adapting robots to the operating conditions and achieving goals. The statement of the problem assumes that the operating conditions, and hence the preferences, may not be known in advance, and may also change dynamically. A method for increasing the efficiency of the procedure for automatic determination of preferences based on the Criteria Importance Theory is proposed. In addition, a general concept of a goal has been introduced, including both enemy or competing objects (targets), and specific tasks. It is proposed to use the concepts of potential optimality and potential non-dominance to find the composition of a robotic group covering the maximum number of goals.
Methods for the preparation of nitrile derivatives of boron cluster anions using microwave synthesis have been proposed. The reported approaches have been used to synthesize derivatives based on ...high-boiling and solid organic nitriles. For the first time, derivatives of the B
10
H
10
2–
anion based on dinitriles have been prepared, and B
12
H
11
NCCH
3
–
and B
12
H
11
NCC
2
H
5
–
derivatives have been isolated in individual form. The prepared compounds have been studied by multinuclear NMR spectroscopy, IR spectroscopy, and elemental analysis.
The new version of the software system DASS designed to solve multicriteria problems using methods of the criteria importance theory is described. A new approach has been developed by the authors, ...allowing to take into account inaccurate and fuzzy information about preferences of decision makers.
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