Some notes on non-reciprocal matrices in the multiplicative pairwise comparisons framework

J Mazurek, P Linares - Journal of the Operational Research Society, 2024 - Taylor & Francis
In most pairwise comparisons methods such as the Analytic Hierarchy Process (AHP) it is
assumed that pairwise comparisons are reciprocal, since this is a necessary condition for …

Tropical implementation of the Analytical Hierarchy Process decision method

N Krivulin, S Sergeev - Fuzzy Sets and Systems, 2019 - Elsevier
We apply methods and techniques of tropical optimization to develop a new theoretical and
computational framework for the implementation of the Analytic Hierarchy Process in multi …

Using tropical optimization techniques in bi-criteria decision problems

N Krivulin - Computational Management Science, 2020 - Springer
We consider decision problems of rating alternatives based on their pairwise comparisons
according to two criteria. Given pairwise comparison matrices for each criterion, the problem …

Methods of tropical optimization in rating alternatives based on pairwise comparisons

N Krivulin - … Research Proceedings 2016: Selected Papers of the …, 2018 - Springer
We apply methods of tropical optimization to handle problems of rating alternatives on the
basis of the log-Chebyshev approximation of pairwise comparison matrices. We derive a …

Tropical optimization techniques in multi-criteria decision making with Analytical Hierarchy Process

N Krivulin, S Sergeev - 2017 European Modelling Symposium …, 2017 - ieeexplore.ieee.org
We apply methods and techniques of tropical optimization to develop a new theoretical and
computational framework for the implementation of the Analytic Hierarchy Process in multi …

Методы тропической оптимизации в многокритериальных задачах оценки альтернатив на основе парных сравнений

НК Кривулин, ВА Агеев - Вестник Санкт-Петербургского …, 2019 - cyberleninka.ru
Статья посвящена применению методов и результатов тропической математики,
которая изучает теорию и приложения алгебраических систем с идемпотентными …

Применение методов тропической оптимизации для оценки альтернатив на основе парных сравнений

НК Кривулин, ВА Агеев, ИВ Гладких - Вестник Санкт …, 2017 - cyberleninka.ru
Рассматривается решение задачи оценки альтернатив на основе парных сравнений
при помощи методов тропической оптимизации. Задача нахождения вектора рейтингов …

[HTML][HTML] Complete algebraic solution of multidimensional optimization problems in tropical semifield

N Krivulin - Journal of logical and algebraic methods in …, 2018 - Elsevier
We consider multidimensional optimization problems that are formulated in the framework of
tropical mathematics to minimize functions defined on vectors over a tropical semifield (a …

Rank-one approximation of positive matrices based on methods of tropical mathematics

NK Krivulin, EY Romanova - Vestnik St. Petersburg University …, 2018 - Springer
Low-rank matrix approximation finds wide application in the analysis of big data, in
recommendation systems on the Internet, for the approximate solution of some equations of …

Using pairwise comparisons to determine consumer preferences in hotel selection

N Krivulin, A Prinkov, I Gladkikh - Mathematics, 2022 - mdpi.com
We consider the problem of evaluating preferences for criteria used by university students
when selecting a hotel for accommodation during a professional development program in a …