This paper formulates the performance evaluation of cloud services as a multicriteria group decision making problem, and presents a fuzzy multicriteria group decision making method for evaluating the performance of cloud services. Interval-valued intuitionistic fuzzy numbers are used to model the inherent subjectiveness and imprecision of the performance evaluation process. An effective algorit...

The aim of this paper is to shed some light on the use of fuzzy measures and integrals as aggregation operators in multicriteria decision making. These techniques have been widely used on an ad hoc basis, but with no ax-iomatization. It is possible to obtain preference representation theorems in multicriteria decision making problems, relying on a formal parallelism between decision under uncer...

DEFINITION Multicriteria analysis is generally defined as “a decision-aid and a mathematical tool allowing the comparison of different alternatives or scenarios according to many criteria, often conflicting, in order to guide the decision maker towards a judicious choice” [12]. The set of decision alternatives considered in a given problem is often denoted by A and called the set of potential a...

This paper presents a method for solving the multicriteria group decision making problem in an uncertain linguistic environment. To ensure an effective aggregation of the uncertain linguistic variables in multicriteria group decision making for adequately modeling the uncertainty and imprecision of the decision making process, an uncertain linguistic Choquet integral operator is proposed. A met...

In this paper, we introduce the notion of multicriteria lotteries. The interest of this lies in the fact that decision under uncertainty and multicriteria decision making are formally equivalent when the set of states of the world is nite in the uncertainty framework. Using this analogy, together with an extension of the Anscombe-Aumann representation theorem to the non-additive case due to Wak...

In this paper, we introduce the notion of multicriteria lotteries. The interest of this lies in the fact that decision under uncertainty and multicriteria decision making are formally equivalent when the set of states of the world is nite in the uncertainty framework. Using this analogy, together with an extension of the Anscombe-Aumann representation theorem to the non-additive case due to Wak...

Our purpose in this paper is to show the integration properties of the intuitionistic fuzzyvalued Choquet integrals, by which improper applications of this type of Choquet integral in the multicriteria decision making can be avoided. We first propose some important operational properties of intuitionistic fuzzy values (IFVs) and give a short review of the methods of comparing IFVs in the framew...

Until now, decision under uncertainty and multicriteria decision making have been investigated separately and almost independently, although there is a close link between both fields. Decision theory is also closely related to measurement theory. Besides, it is well known that additive representations in decision making are not sufficient to avoid paradoxes such as Ellsberg’s paradox. Therefore...