Bidzina Midodashvili
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View article: Decision-making framework with q-rung picture fuzzy linguistic information and its applications to logistics hubs during disaster response establishment
Decision-making framework with q-rung picture fuzzy linguistic information and its applications to logistics hubs during disaster response establishment Open
In the decision-making matrix of modern interactive multi-attribute group decision-making (MAGDM) models, we find such syntactic-semantic forms of presentation of experts' cognitive information that thoroughly ensure the expert's maximum i…
View article: Divergence and Similarity Characteristics for Two Fuzzy Measures Based on Associated Probabilities
Divergence and Similarity Characteristics for Two Fuzzy Measures Based on Associated Probabilities Open
The article deals with the definitions of the distance, divergence, and similarity characteristics between two finite fuzzy measures, which are generalizations of the same definitions between two finite probability distributions. As is kno…
View article: Associated Probabilities’ Aggregations in Fuzzy Collaborative Filtering Recommender System Prediction
Associated Probabilities’ Aggregations in Fuzzy Collaborative Filtering Recommender System Prediction Open
In this article, the expert evaluations transformed in the multi-attribute decision-making (MADM) model are presented in the discrimination q-rung picture linguistic fuzzy numbers (q-RPLFNs). In the construction of a second-order additive …
View article: Associated Probabilities in Insufficient Expert Data Analysis
Associated Probabilities in Insufficient Expert Data Analysis Open
Problems of modeling uncertainty and imprecision for the analysis of insufficient expert data (IED) are considered in the environment of interactive multi-group decision-making (MGDM). Based on the Choquet finite integral, a moments’ metho…
View article: THE BOUNDARY VALUE PROBLEM FOR ONE CLASS OFHIGHER-ORDER SEMILINEAR PARTIAL DIFFERENTIALEQUATIONS
THE BOUNDARY VALUE PROBLEM FOR ONE CLASS OFHIGHER-ORDER SEMILINEAR PARTIAL DIFFERENTIALEQUATIONS Open
The boundary value problem for a class of higher-order semilinear partial differential equations is studied.The theorems on existence, uniqueness and nonexistence of solutions of this problem are proved.
View article: Крайова задача для одного класу нелінійних систем диференціальних рівнянь із частинними похідними високого порядку
Крайова задача для одного класу нелінійних систем диференціальних рівнянь із частинними похідними високого порядку Open
УДК 517.957Дослiджено крайову задачу для одного класу нелiнiйних систем диференцiальних рiвнянь з частинними похiдними високого порядку. Вивчено питання iснування, єдиностi та вiдсутностi розв’язкiв цiєї задачi.
View article: New Fuzzy Extensions on Binomial Distribution
New Fuzzy Extensions on Binomial Distribution Open
The use of discrete probabilistic distributions is relevant to many practical tasks, especially in present-day situations where the data on distribution are insufficient and expert knowledge and evaluations are the only instruments for the…
View article: Representation of a Crisp Set as a Pair of Dual Fuzzy Sets
Representation of a Crisp Set as a Pair of Dual Fuzzy Sets Open
Expert knowledge representations often fail to determine compatibility levels on all objects, and these levels are represented for a certain sampling of universe. The samplings for the fuzzy terms of the linguistic variable, whose compatib…
View article: About One Representation-Interpreter of a Monotone Measure
About One Representation-Interpreter of a Monotone Measure Open
We consider the problem of presenting a nonclassical measure (nonadditive, but monotonous), so-called fuzzy (monotone) measure, by a classical measure, particularly by the Murofushi–Sugeno-type new representation-interpreter. The theorems …
View article: EDUCATIONAL PROGRAMS PERFORMANCE RANKING BY USE OF TOPSIS METHOD
EDUCATIONAL PROGRAMS PERFORMANCE RANKING BY USE OF TOPSIS METHOD Open
Evaluation of an educational program is a complex task and its solution requires the analysis of data obtained on the basis of relevant to both quantitative and qualitative research. The collection of these data should be carried out using…
View article: Method of corrections by higher order differences for Poisson equation with nonlocal boundary conditions
Method of corrections by higher order differences for Poisson equation with nonlocal boundary conditions Open
We consider the Bitsadze–Samarskii type nonlocal boundary value problem for Poisson equation in a unit square, which is solved by a difference scheme of second-order accuracy. Using this approximate solution, we correct the right-hand side…
View article: On increasing the convergence rate of difference solution to the third boundary value problem of elasticity theory
On increasing the convergence rate of difference solution to the third boundary value problem of elasticity theory Open
We consider the third boundary value problem of static elasticity theory (stiff contact problem) in a rectangle, for solution of which we use a difference scheme of second-order accuracy. Using this approximate solution, we correct the rig…