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- Leonid S. Bershtein, Alexander V. Bozhenyuk
- Encyclopedia of Artificial Intelligence
- 2009

Graph theory has numerous application to problems in systems analysis, operations research, economics, and transportation. However, in many cases, some aspects of a graph-theoretic problem may be uncertain. For example, the vehicle travel time or vehicle capacity on a road network may not be known exactly. In such cases, it is natural to deal with the… (More)

- Leonid S. Bershtein, Alexander V. Bozhenyuk, Igor N. Rozenberg
- EUSFLAT Conf.
- 2013

In this paper the questions of defining the optimum allocation of centers in fuzzy transportation networks are observed by the minimax criterion. It is supposed that the information received from the geographical information system is presented as a fuzzy graph. In this case the task of defining optimum allocation of the centers transforms into the task of… (More)

- Leonid S. Bershtein, A. A. Tselykh
- SIN
- 2013

In this paper, we present a clique-based method for mining fuzzy graph patterns of money laundering and financing terrorism. The method will contribute to a new generation of intelligent anti-money laundering systems that incorporate comprehensive information from various information sources as well as from human subject matter experts. A fuzzy degree of… (More)

- Leonid S. Bershtein, Alexander V. Bozhenyuk, Igor N. Rozenberg
- Fuzzy Days
- 2004

Practical tasks of map coloring in case of objects groups’ allocation, not connected by any binary relation, come to the problem of coloring of graph [1]. This task is closely connected to the calculation of internal stable sets of graphs, calculation of chromatic number and a chromatic class of the graph. Hypergraphs [2] are the generalization of graphs in… (More)

- Leonid S. Bershtein, Alexander V. Bozhenyuk
- Fuzzy Days
- 2001

- A. N. Melikhov, Leonid S. Bershtein, S. Ya. Korovin
- Kybernetika
- 1992

- Leonid S. Bershtein, Alexander V. Bozhenyuk
- FUZZ-IEEE
- 2001

L, (k) defines a degree of separation of fuzzy graph B with In this paper the questions of coloring of fuzzy graphs are observed. Definitions of separation degree and fuzzy chromatic set of fuzzy graphs are presented. A method for fmding fuzzy chromatic set is suggested and substantiated. Introduction The idea of fuzzy graphs has been introduced by… (More)

In this paper the problem of optimal location of service centers is considered by minimax criterion. It is supposed that the information received from GIS is presented like graph with fuzzy intervals. The notion of fuzzy set of interval bases is considered. It is shown that the problem of service centers location is reduced to a problem of finding fuzzy set… (More)

- Leonid S. Bershtein, Margarita Knyazeva, Igor N. Rozenberg
- IFSA-EUSFLAT
- 2015

Resource-constrained project scheduling (RCPS) problem can be defined as a combinatorial problem of constructing a special plan for performing a number of precedence related tasks that have to be executed with the use of limited uncertain resources. In this paper we study the framework of a heuristic approach to deal with uncertainty while modelling RCPS… (More)

- Leonid S. Bershtein, Alexander V. Bozhenyuk
- EUSFLAT Conf.
- 2003

The questions of isomorphism degree estimation of fuzzy graphs are discussed in this paper. The definition of independent fuzzy set of fuzzy graph is presented. The estimation method of isomorphism degree of fuzzy graphs is suggested and proved. The example of isomorphism degree estimation is considered.

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