Abstract:
In this dissertation, a consensus-based method for group decision making (GDM)
using product transitivity with incomplete fuzzy preference relations (IFPRs) is
proposed. Additionally, an average aggregation operator has been used at the first
level to estimate the missing preference values and construct the complete fuzzy
preference relation (FPR). Then it is confirmed to be product consistent by using the
transitive closure formula. Following this, weights of decision makers (DMs) are
evaluated by merging consistency weights and predefined priority weights (if any).
The consistency weights for the DMs are estimated through product consistency
investigation of the information provided by each DM. The consensus process
determines whether the selection procedure should be initiated or not. The hybrid
comprises of a quitting process and feedback mechanism, and is used to enhance the
consensus level amongst DMs in case of an inadequate state. The quitting process
arises when some DMs decided to leave the course, and is common in GDM while
dealing with a large number of alternatives. The feedback mechanism is the main
novelty of the proposed technique which helps the DMs to improve their given
preferences based on this consistency. At the end, a numerical example is deliberated
to measure the efficiency and applicability of the proposed method after the
comparison with some existing models under the same assumptions.
The results show that proposed method can offer useful comprehension into the GDM
process.
