BG

DECISION SUPPORT SYSTEMS

INSTITUTE OF INFORMATION TECHNOLOGIES - BAS

MULTIDECISION
Overview

Multicriteria Decision Support Systems MultiDecision are designed to support decision makers in solving different multicriteria analysis and multicriteria optimization problems.

Multicriteria decision making problems can be divided into two separate classes depending on their formal statement.
In the first class of problems a finite number of explicitly set constraints in the form of functions define an infinite number of feasible alternatives. These problems are called continuous multicriteria decision making problems or multicriteria optimization problems.

In the second class of problems a finite number of alternatives are explicitly given in a tabular form. These problems are called discrete multicriteria decision making problems or multicriteria analysis problems.

In multicriteria analysis and multicriteria optimization problems several criteria are simultaneously optimized in the feasible set of alternatives. In the general case there does not exist one alternative, which optimizes all the criteria. There is a set of alternatives however, characterized by the following: each improvement in the value of one criterion leads to deterioration in the value of at least one other criterion. This set of alternatives is called a set of the non-dominating or Pareto optimal alternatives. Each alternative in this set could be a solution of the multicriteria problem. In order to select one alternative, it is necessary to have additional information set by the so-called decision maker (DM). The information that the DM provides reflects his/her global preferences with respect to the quality of the alternative sought.

MultiDecision-2 software system is an extended and improved version of MultiDecision-1.2 and MultiDecision-1 software systems and it consists of two independent parts:

  • MKA-2 subsystems for multicriteria analysis
  • MKO-2 for multicriteria optimization

MKA-2 subsystem
Overview

╠╩└-2 software systems is a successor of "MKA-1" and "Multichoice" systems and it is designed to support the solution of three classes of multicriteria analysis:

  • multicriteria choice
  • multicriteria ranking
  • muticriteria sorting
╠╩└-2 system makes use of four different methods ľ one weighting method, two outranking methods and one interactive method. In spite of this fact, ╠╩└-2 systems offers user friendly interface, related to the entry of the input data, the setting of DMĺs local and global preferences, the displaying and archiving of the results obtained. The application of four methods in ╠╩└-2 system allows the aggregation of the positive features of each one of these methods. In case the DM wants to compare the criteria in pairs, he/she will orient towards the weighting method. If he/she prefers to set the criteria weights and the indifference and preference thresholds or a veto threshold of the alternatives, he may use the outranking method and if he/she wants to set the criteria wished values, then the interactive method will prove to be most appropriate. Some DMs may have specific preferences towards any one of these methods. Others may solve a certain problem with the help of several methods, entering their preferences in a different way, in order to be convinced in the quality of the solution obtained.

Application

Many real life problems in management practice can be formulated as multicriteria analysis problems. Such are the problems for evaluation and choice of resources, strategies, projects, offers, policies, credits, products, innovations, designs, expenses, profits, portfolios, etc. ╠╩└-2 software system is a convenient and attractive tool for solving problems in these areas.

Developers

MKA-2 software system is designed in Decision Support Systems department of the Institute of Information Technologies by the team: V. Vasilev ľ team leader, ╩. Genova, ╠. Vassileva, F. Andonov., G. Chepilev and P. Chongova.

Gallery
MKO-2 subsystem
Overview

M╩O-2 software system is a successor of MKO-1 and MOLIP systems, designed for aiding the solution of linear and linear integer multicriteria optimization problems. On the basis of the generalized scalarizing problem, 12 known scalarizing problems of different types are generated in the system, as well as their corresponding interactive algorithms. These algorithms use different type of information about DM's preferences in the search for new solutions. The system is characterized by its user friendly interface, related to the entry of the input data, the setting at the beginning or at an arbitrary iteration of different type of information concerning DM's preferences, the selection of different interactive algorithms for the solution, the displaying in a digital or graphical form of the results obtained, as well as their archiving, the possibilities to interrupt the process during multicriteria problem solution or to re-start it at any time in another direction, and others.

Application

Different problems of planning, control, analysis and management in economy, transport, industrial production, education, ecology and other areas may be reduced to decision making problems in the presence of many criteria. The problems, in which a finite number of explicitly set constraints in the form of functions define an infinite number of alternatives, are called continuous multicriteria decision making problems or multicriteria optimization problems. This class includes also linear and linear integer multicriteria decision making problems.

Developers

╠╩╬-2 software system is designed in Decision Support Systems department of the Institute of Information Technologies by the team: V. Vassilev ľ team leader, B. Staykov, ╩. Genova, ╠. Vassileva and F. Andonov.

Gallery
Publications
  1. Vassilev V., Vassileva M., Staykov B., Genova K., Andonov F., Chongova P. (2008). MultiDecision-2: A Multicriteria Decision Support System. International Journal INFORMATION TECHNOLOGIES & KNOWLEDGE, vol.2, 3, 203-211.
  2. Vassileva M., Vassilev V., Staykov B., Dochev D. (2007). Generalized Multicriteria Optimization Software System MKO-2. In: Procedeenigs of the 9th International Conference on Enterprise Information Systems /ICEIS 2007/, (G. Cordoso et al., Eds.), Madeira, Portugal, 283-289.
  3. Vassilev V., Vassileva M., Staikov B., Genova K., Andonov F., Chongova P. (2007). MultiDecision-2: A Multicriteria Decision Support System. Proceedings of the 13th International Conference ôKnowledge, Dialogue, Solutionö, ( Gladun V. P. et al Eds.), Varna, Bulgaria, 255-363.
  4. Vassileva, M., Miettinen K., Vassilev, V., Staykov, B. (2006). Interactive Algorithm for Multicriteria Optimization with Variable Scalarizations and Parameterizations. The 18th International Conference on Multiple Criteria Decision Making - MCDM 2006 (Crete, Greece).
  5. Vassilev, V., Vassileva, M., Staykov, B., Mietinen, K. (2006). Generalized Multicriteria Decision Support System. In: Proceedings (D. Dochev et al., Eds.) of the Workshop ôSemantic Web and Knowledge Technologies Applicationsö (within 12th International Conference AIMSA 2006), 16-30.
  6. Stajkov, B. (2006). Multiobjective optimization software system. Problems of Engineering Cybernetics and Robotics, 57, 21-30.
  7. Vassilev, V., Genova, K., Vassileva, M., Staikov, B., Andonov, F. (2005). MultiDecision-2.1: A Software System for Multicriteria Analysis and Optimization. In: Preliminary Proceedings of the 5th International Conference on Decision Support for Telecommunications and Information Society. Warsaw, Poland, 175-187.
  8. Vassilev V., Genova K., Vassileva M., Andonov F., Staikov B. (2004) Multiobjective Optimization Software System. Proceedings of International Conference ôSAI 2004ö, (Eds. Sgurev V., Boyanov K.), 57-60.
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