Preference and weak interval-valued operator in decision making problem

Abstract

In this paper, we concentrate on study interval-valued fuzzy relations in decision problems based on preference relations, and a preference structure making up of the strict preference relation, indifference relation, and incomparability relation which may be defined with the use of interval-valued aggregation and interval-valued fuzzy negation function. We analyze the influence of some new types of fusion functions on the effectiveness of the decision process. The studies concern different aggregation classes due to the type of monotonicity/order used.