Group Decision Making with Incomplete Reciprocal Preference Relations Based on Multiplicative Consistency

Autor: Etienne E. Kerre, Atiq-ur-Rehman, Samina Ashraf
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: International Journal of Computational Intelligence Systems, Vol 11, Iss 1 (2018)
Druh dokumentu: article
ISSN: 25895958
1875-6883
DOI: 10.2991/ijcis.11.1.78
Popis: This paper comprises a new iterative method for multi-person decision making based on multiplicative consistency with incomplete reciprocal preference relations (IRPRs). Additionally, multiplicative transitivity property of reciprocal preference relation (RPR) is used at the first level to estimate the unknown preference values and get the complete preference relation, then it is confirmed to be multiplicative consistent by using transitive closure formula. Following this, expert’s weights are evaluated by merging consistency and trust weights. The consistency weights against the experts are evaluated through multiplicative consistency investigation of the preferences given by each expert, while trust weights play the role to measure the level of trust for an expert. The consensus process determines whether the selection procedure should start or not. If it results in negative, the feedback mechanism is used to enhance the consensus degree. At the end, a numerical example is given to demonstrate the efficiency and practicality of the proposed method.
Databáze: Directory of Open Access Journals