Abstract
AbstractMultiple attributes group decision making problems aim to find the best alternative for the experts from a solution set of alternatives. Because the attribute value and decision-makers evaluation with respect to the alternatives are usually vague and imprecise, fuzzy multiple attributes group decision making have been widely investigated, in which, ordering fuzzy evaluation results in fuzzy decision making is an important method to find the best alternative for the experts, difference fuzzy expressions for evaluation in fuzzy decision making problems correspond with difference aggregation operator and ranking method. In this paper, we analyze some algebraic properties of a kind of ranking method in fuzzy multiple attributes group decision-making, and prove that the ranking method is pre-ordering, its'drawback in fuzzy decision making is no unique alternative to be best alternative. Then, we provide an equivalence relation on fuzzy evaluation values based on the ranking method, and propose a linear...
Highlights
In many cases, decision making problems must deal with vague and imprecise information that usually involves uncertainty in their decision making frameworks 9,11,13,19
A bird’s eye view in the recent specialized literature about decision making problems, ranking methods are an important aspect to select the best alternative for the experts, difference expressions for evaluation in a decision making problem correspond with difference aggregation operator and ranking method
We show that the order relation decided by S(P1 ⊖ P2) is a pre-order relation of fuzzy sets on U
Summary
Decision making problems must deal with vague and imprecise information that usually involves uncertainty in their decision making frameworks 9,11,13,19. Based on the above mentioned ordering, any decision results represented by 2-tuple linguistic values is ordered, and the best alternative for the experts can be selected. A bird’s eye view in the recent specialized literature about decision making problems, ranking methods are an important aspect to select the best alternative for the experts, difference expressions for evaluation in a decision making problem correspond with difference aggregation operator and ranking method. From the algebraic point of view, ranking methods is to order decision results to obtain the best alternative for the experts, some of them is linearly ordered, the others is pre-ordering.
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