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1. 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,

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Page 1: 1. 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,

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Page 2: 1. 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,

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Multicriteria analysis problems

Multicriteria analysis problem may be described by a decision matrix A(nxk), 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..

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Main groups of multicriteria analysis problems

1) The discrete multicriteria choice problems,

2) The ranking problems,

3) The sorting problems.

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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.

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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 Payment5. 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.

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

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Cost of MTPL insurance – quantitative criterion,Cost ot First installment – quantitative criterion.

Criterion type:

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Cost of Next installments – arranging criterion.

Total cost of Payment – qualitative criterion.

Criterion type:

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Bonus in Casco – weight criterion.

Criterion type:

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Methods:

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Analytic Hierarchy Process

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Analytic Hierarchy Process

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Analytic Hierarchy Process

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Prometee II Method

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Prometee II Method

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Classification-Based Interactive Method

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Classification-Based Interactive Method

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Classification-Based Interactive Method

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Classification-Based Interactive Method

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ACKNOWLEDGEMENTACKNOWLEDGEMENT

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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