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2. 2 Multicriteria analysis problems Multicriteria analysis problem may be described by a decision matrix A(n x k), which can be defined in two ways, where: Ai denotes an alternative with an index i, i=1,…,n; Kj denotes a criterion with an index j, j=1,…,k..

3. 3 Main groups of multicriteria analysis problems 1) The discrete multicriteria choice problems, 2) The ranking problems, 3) The sorting problems.

4. 4 Methods of multicriteria analysis 1. AHP method (S a a t y) – weighting method. 2. PROMETHEE II method (B r a n s and M a r e s c h a l) – outranking methods. 3. CBIM method (N a r u l a et al.) – interactive method.

5. 5 Operation with multicriteria system MKA-2 The criteria to be evaluated are: 1. Cost of MTPL insurance; 2. Cost of First installment; 3. Cost of Next installments; 4. Total cost of Payment 5. Bonus in Casco in the same insurance company. The alternatives are as follows: 1. Bulgarian Property; 2. Victoria Insurance; 3. Bul Ins. Choose the best of MTPL insurance. Consider a car with engine capacity 1581 cubic centimetres, region of use is Sofia and 30 years of driving.

6. 6 The objective of the task: Choosing the best MTPL insurance.

7. 7 Cost of MTPL insurance – quantitative criterion, Cost ot First installment – quantitative criterion. Criterion type:

8. 8 Cost of Next installments – arranging criterion. Total cost of Payment – qualitative criterion. Criterion type:

9. 9 Bonus in Casco – weight criterion. Criterion type:

10. 10 Methods:

11. 11 Analytic Hierarchy Process

12. 12 Analytic Hierarchy Process

13. 13 Analytic Hierarchy Process

14. 14 Prometee II Method

15. 15 Prometee II Method

16. 16 Classification-Based Interactive Method

17. 17 Classification-Based Interactive Method

18. 18 Classification-Based Interactive Method

19. 19 Classification-Based Interactive Method

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21. 21 ACKNOWLEDGEMENT This work was supported by the European Social Fund and the Bulgarian Ministry of Education and Science under the Operation programme “Human Resources Development”, Grant scheme BG051PO001/07/3.3-02 „Support for the Develop­ ment of PhD Students, Post-doctoral Students, Post- graduate Students and Young Scientists”, Grand# BG051PO001/07/3.3-02/7.

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