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Existence of а solution of the problem of optimal control of mines for minerals
VELICHKA TRANEVA,Stoyan Tranev 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.3
Dealt with in the study are exhaustible resources - minerals. In the study will be created a mathematical model of a particular economic system - mine for minerals and will be proven the existence of solution of the problem of optimal control of mines. Also will be formulated necessary and sufficient conditions for optimal control of mines. In today's market environment, many of the parameters for optimum control problems are unspecified. To deal with this fuzziness in conditions and parameters will be used Intuitionistic fuzzy sets, defined from Atanassov in [5]. The algorithms for solution of intuitionistic fuzzy models of mine’s optimal control are presented.
Aggregation operations over 3-dimensional extended index matrices
Velichka Traneva,Evdokia Sotirova,Vesselina Bureva,Krassimir Atanassov 장전수학회 2015 Advanced Studies in Contemporary Mathematics Vol.25 No.3
In this paper we introduce new operations over 3D-extended index matrices, which generalized dened operations over other types of index matrices.
VELICHKA TRANEVA,VESSELINA BUREVA,EVDOKIA SOTIROVA,KRASSIMIR ATANASSOV 장전수학회 2017 Advanced Studies in Contemporary Mathematics Vol.27 No.2
In this paper, we present an index matrix interpretation of the On-Line Analytal Processing (OLAP) cube. The aim is to present the basic OLAP operations with similar operations from the index matrix theory. The operations are discussed in terms of relational algebra and multidimensional models.
VELICHKA TRANEVA,VESELINA BUREVA,EVDOKIA SOTIROVA,Krassimir Atanassov 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.3
In the current paper an interpretation of the OLAP cube using the apparatus of index matrices is presented. The OLAP “InterCube Set” and “Data cube” operations are defined by apparatus of index matrices. Some examples of these operations by MDX (MultiDimensional eXpressions) [23] are given in the paper.
One application of the index matrices for solution of a transportation problem
Velichka Traneva 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.4
A new approach of decision of the transportation problem with application of the index matrices concept is proposed and treated in the paper.
Transportation-type problems and their index matrix interpretations
Velichka Traneva,Pencho Marinov,Krassimir Atanassov 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.4
This article will present a new approach for dealing with transportation-type problems apparatus index matrices and will proposed and treated some of their summaries.
Index matrices and Olap-cube Part 2 : an presentation of the Olap-analysis by index matrices
VESELINA BUREVA,VELICHKA TRANEVA,EVDOKIA SOTIROVA,Krassimir Atanassov 장전수학회 2017 Advanced Studies in Contemporary Mathematics Vol.27 No.4
In the current paper an interpretation of the OLAP cube using the apparatus of index matrices is presented. The main properties of OLAP cubes and the operations, providing access to data are discussed. The OLAP operations “slice”, “dice” and “pivot” are defined by index matrices.
VESELINA BUREVA,VELICHKA TRANEVA,EVDOKIA SOTIROVA,Krassimir Atanassov 장전수학회 2019 Advanced Studies in Contemporary Mathematics Vol.29 No.1
Online analytical processing (OLAP) tools are conceived to ease the navigation trough the data, saved in multidimensional structures. The operation \Drill Across" retrieve facts on common dimensions of the multiple data-cubes. In the current paper an interpretation of the OLAP \Drill Across" operation using the apparatus of index matrices is presented. Also some practical examples of this operation by language MDX(MultiDimensional eXpressions) [13] are given.
INDEX MATRICES AND OLAP-CUBE PART 5: INDEX MATRIX OPERATIONS OVER OLAP-CUBE
VESELINA BUREVA,VELICHKA TRANEVA,EVDOKIA SOTIROVA,KRASSIMIR ATANASSOV 장전수학회 2020 Advanced Studies in Contemporary Mathematics Vol.30 No.1
The aim of On-line Analytical Processing (OLAP) is to extract knowl- edge from data warehouse. It is used to provide users with the ability to perform dynamic data analysis. The index matrices (IMs) concept has been introduced by Atanassov in 1984. The outlined approach for big data analysis using the IMs concept can be applied to both crisp and fuzzy data and can be expanded to retrieve information to other types of multi-dimensional data. The main contri- bution of the paper is that is proposed to expand the OLAP-cube data analysis by implementing some of the index matrix operations.