FUCOM-MARCOS based Group Decision-making using Dombi Power Aggregation of Dual Probabilistic Linguistic Information

Abstract

The dual probabilistic linguistic (DPL) term sets are considered superior to probabilistic linguistic term sets. The power average operator can lessen the effects of the extreme assessing data from some decision-makers with prejudice. Further, the Dombi operators are quite flexible with the general parameter during the aggregation process. Moreover, based on deviation from the maximum consistency by the exclusion of the concern of the redundancy of the comparisons made in criteria pairs, FUCOM (full consistency method) is utilized as a subjective criteria weight computing model. Besides, MARCOS (Measurements alternatives and ranking according to compromise solution) method is based on the determination of utility degrees according to the distance from anti-ideal and ideal solutions and their aggregations. In this study, we combine the merits of power average operator, Dombi operator, FUCOM technique and MARCOS for dealing with multi-criteria group decision-making (MCGDM) problems under a DPL setting where rank of the alternatives are obtained through MARCOS method. For aggregating decision-experts preferences, we propose two types of operators, namely- DPL Dombi power weighted averaging and DPL Dombi power weighted geometric aggregation operators. We discuss the elegant properties of these proposed aggregation operators. We provide a case study regarding open source software learning management system selection to focus the practicability and usefulness of the proposed approach. Furthermore, we perform a sensitivity assessment on diverse criteria weight sets in order to test the stability of our developed intriguing approach. To this effect, we also provide a comparison between our approach with various extant methods.

Hybridizations of generalized Dombi operators and Bonferroni mean operators under dual probabilistic linguistic environment for group decision‐making

“…Xie et al 21 presented a new DM methodology based on the incomplete DPL preference relations. The DPL Dombi power weighted average and geometric AOs based MCGDM methodology were developed by Saha et al 22 Saha et al 23 also developed DPL‐generalized Dombi (GD) weighted averaging AO and used them for handling MCGDM problems.…”

“…From the analysis cited above, the following issues are identified while dealing with dual probabilistic linguistic (DPL) data: The existing research 20–22 on DPL term sets do not focus on the subjective and objective weights of DEs. Accordingly, the assessment results get distorted.…”

“…In the multicriteria DM method developed by Xie et al, 20 because of the picking criteria weights arbitrarily by the authors during the final aggregation process, the final ranking order gets influenced. Although Saha et al 22 utilized Full Consistency Method (FUCOM) for determination of criteria weight based on priority preferences of criteria under DPL setting, in real situations sometimes it becomes impossible to consider in advance a priority relation among criteria. Though the algebraic weighted AO, 20 Dombi power weighted AOs, 22 and GD‐weighted AOs 23 under DPL information have been utilized for aggregation, still none of them can depict the interrelationships among criteria.…”

“…Although Saha et al 22 utilized Full Consistency Method (FUCOM) for determination of criteria weight based on priority preferences of criteria under DPL setting, in real situations sometimes it becomes impossible to consider in advance a priority relation among criteria. Though the algebraic weighted AO, 20 Dombi power weighted AOs, 22 and GD‐weighted AOs 23 under DPL information have been utilized for aggregation, still none of them can depict the interrelationships among criteria. So, there is still an urgent need for a more flexible operator which serves the purpose.…”

“…Though the algebraic weighted AO, 20 Dombi power weighted AOs, 22 and GD‐weighted AOs 23 under DPL information have been utilized for aggregation, still none of them can depict the interrelationships among criteria. So, there is still an urgent need for a more flexible operator which serves the purpose.…”