EURO 2024 Copenhagen
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915. Extending AHP with Belief Degrees for Hesitant Evaluations

Invited abstract in session TD-44: Pairwise comparisons and preference relations 2, stream Multiple Criteria Decision Analysis.

Tuesday, 14:30-16:00
Room: 20 (building: 324)

Authors (first author is the speaker)

1. OZGE SAHIN ZORLUOGLU
Industrial Engineering, Istanbul Arel University
2. Özgür Kabak
Industrial Engineering Dept., Istanbul Technical University

Abstract

The Analytic Hierarchy Process (AHP) method, developed by Thomas Saaty, is structured around pairwise comparisons to derive priority weights for decision criteria and alternatives. In this study, a new approach is presented by extending AHP method to be expressed in terms of belief degrees (BD). In AHP method decision maker (DM) may prefer to use different types of preference formats for each criteria to provide information. They may have hesistancy in expressing their evaluation by a single expression and they can use several linguistic expressions to evaluate alternatives. Therefore, hessitant fuzzy linguistics terms can be used. In this study we develeop a new method to deal with problems where criteria weights are given as fuzzy preference relation and evaluations of DM is given as hesitant fuzzy sets. To aggregate different preference formats we transformed criteria weights and evaluations of DM to BD without any loss of information. Weighted Cumulative Belief Degree (WCBD) operator is employed for aggregation of alternative evaluations and criteria weights expressed with BD. First, a satisfaction level s_r, q∈0,…,6 is determined for aggregations of evaluations by problem owner. By use of WCBD operator one can integrate two belief structures by considering t satisfaction level of problem owner. The developed method has been applied to various problems and has yielded satisfactory results.

Keywords

Status: accepted

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