A Group Decision-Making Model with Comparative Linguistic Expression Based on Hedge Algebra

Abstract

The Group Decision Making (GDM) is a problem that gives a synthetic choice from various assessments of some evaluators. It is the complexity of the problem that is the difference among the qualitative evaluations of evaluators. Apparently, this depends on many factors as well as the credibility of each evaluator. The final synthetic decision to make must ensure accuracy and contain all opinions from all evaluators. In this paper, we have proposed a new computational algorithm for assessments using the comparative linguistic expressions that use hedge algebras. Under this approach, we can easily calculate the semantic value of language terms. The proposed algorithm also ensures the logical and simple rigor of execution. We have applied the proposed algorithm on a specific application that is taking the group decision-making from the reviewers to choose the highest rated article to award the author. The calculation results showed the correctness and efficiency of the algorithm.