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  4. Multi-criteria optimization in terms of fuzzy criteria definitions

Multi-criteria optimization in terms of fuzzy criteria definitions

MMC.
2018;
Volume 5, Number 2
: 207-220
https://doi.org/10.23939/mmc2018.02.207
Received: December 05, 2018

Math. Model. Comput. Vol. 5, No. 2, pp. 207-220 (2018)

Authors:
  1. L. Raskin
  2. O. Sira
  3. D. Sagaydachny
1
National Technical University "Kharkiv Polytechnic Institute"
2
National Technical University "Kharkiv Polytechnic Institute"
3
National Technical University "Kharkiv Polytechnic Institute"

The problems of multi-criteria optimization are considered. Known methods for solving these problems are generalized to the case when weights that take into account the relative importance of particular criteria are not clearly defined. The procedure for constructing membership functions of fuzzy numbers, given by sets of intervals of possible values, using a linearized computation of least squares methods is substantiated. In this case, for the description of fuzzy numbers, the membership functions of (L-R)-type were chosen.

multi-criteria optimization
fuzzy source data
optimization of a fractional non-linear functional
Pareto-set.
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