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...

This paper presents a fuzzy multicriteria group decision making approach for selecting information systems projects. The inherent subjectiveness and imprecision of the selection process is modeled by using linguistic terms characterized by triangular fuzzy numbers. To avoid the complex and unreliable process of comparing fuzzy numbers usually required in fuzzy multicriteria analysis, a new algo...

The considered models describe multicriteria decision making when the information provided from different criteria is given as fuzzy relations. These models differ according to the kind of the criteria weights and the aggregation procedures to fuse the fuzzy relations. The properties of aggregated fuzzy relation required to decide some multicriteria problem is discussed.

Based on several equivalent relations, this paper is aimed to axiomatize the family of all solutions that admit a potential in the framework of fuzzy transferable-utility (TU) games. Further, several axiomatic results of the consistent value are also proposed by applying these equivalent relations.

A cooperative game with transferable utility (TU) is a pair 〈N, v〉, where N is a nonempty, finite set and v : 2N → R is a characteristic function, defined on the power set of N , satisfying v(∅) := 0. An element of N (notation: i ∈ N) and a nonempty subset S of N (notation: S ⊆ N or S ∈ 2N with S 6= ∅) is called a player and coalition respectively, and the associated real number v(S) is called ...

Fuzzy measures are monotonic set functions used for modelling strength of coalition of criteria in multicriteria decision-making. However, the practical application of fuzzy measures is difficult. The problem of fuzzy measures acquisition can be thought as an engineering problem. In our study, we have investigated the issue of fuzzy measures acquisition from an engineering perspective. Many met...

The purpose of this investigation is directed towards summarizing and researching of models for decision making support in multicriteria problems under uncertainties from fuzzy type. The models simulate (approximate) human decision making by means of applying of the fuzzy sets theory. Multicriteria fuzzy decision making problems will be considered in cases of fuzziness present in initial inform...

A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff distribution to every TU-game. A well-known solution is the Shapley value. In the literature various models of games with restricted cooperation can be found. So, ins...

We prove that every transferable utility (TU) game can be generated by a coalition production economy. Given a TU game, the set of Walrasian payoff vectors of the induced coalition production economy coincides with the core of the balanced cover of the given game. Therefore, a Walrasian equilibrium for the induced coalition production economy always exists. The induced coalition production econ...

Abstract We introduce the concepts of components’ second-order productivities in cooperative games with transferable utility (TU games) a coalition structure (CS and payoffs for one-point solutions CS as generalizations players’ TU (Casajus Discrete Appl Math 304:212–219, 2021). The are conceptualized marginal contributions, that is, how one player affects another player’s contributions to coal...