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  • Comparative Analysis of Approaches to Representation and Aggregation of Expert Opinions in Modified Analytic Hierarchy Process

Comparative Analysis of Approaches to Representation and Aggregation of Expert Opinions in Modified Analytic Hierarchy Process

Student: Agaeva Kamila

Supervisor: Konstantin Y. Degtyarev

Faculty: Faculty of Computer Science

Educational Programme: System and Software Engineering (Master)

Final Grade: 8

Year of Graduation: 2020

The process of making strategic management decisions often requires special attention to select the appropriate method. Decisions can be made intuitively by analysing the problem and its solutions during the negotiations without consciously weighing of various factors. However, if the posed problem is quite complex and the analysis requires more attention and time, it is possible to use formal methods presented in the form of the multiple-criteria decision-making (MCDM) models. One of the most popular methods is Analytic Hierarchy Process (AHP), which gives opportunity to model the complexity of the solvable problem by prioritizing alternatives and obtaining input in the form of opinions and criteria for evaluating possible choices. One of the problems of decision-making process is human judgment formalization. In order to obtain the most reliable solution that corresponds to the verbal statements, opinion representation must be as accurate as possible. In addition, in the field of project management, the decision-making process is associated with group activities. Joining people with different status in expert groups related to the decision-making process allows achieving a sufficient degree of objectivity and expanding the interdisciplinary context for decision-making. However, nowadays there is a variety of ways of presenting expert information in a formal way, as well as methods and additional internal capabilities for aggregating individual expert preferences to obtain group consensus for further use in MSDM models. This report provides a review of the literature on the various possibilities of representing experts’ opinions using crisp numbers and fuzzy sets (Intuitionistic Interval-Valued Intuitionistic, Hesitant Fuzzy sets) and aggregating them (OWA, OWG, Hybrid methods). The main scope of the article is a comparative analysis of the most popular methods of working with expert opinions, a technique for choosing aggregation methods depending on the context of the decision and the application of the selected approaches in AHP. Key Words: AHP, Fuzzy Sets, Intuitionistic Fuzzy Set, Hesitant Fuzzy Set, Interval-Valued Intuitionistic Fuzzy Set, OWA method, OWG method, Hybrid method

Full text (added May 22, 2020)

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