the intuitionistic fuzzy set has been applied to game theory very rarely since it was introduced by atanassov in 1983. the aim of this paper is to develop an effective methodology for solving matrix games with payoffs of atanassov’s triangular intuitionistic fuzzy numbers (tifns). in this methodology, the concepts and ranking order relations of atanassov’s tifns are defined. a pair of bi-object...

In the paper, a strengthening of the core-accessibility theorem by the author is proposed. It is shown that for any imputation outside of the nonempty core of TU cooperative game a strongly monotonic trajectory originating from this imputation exists, which converges to some element of the core. Here, strong monotonicity means that each imputation from the trajectory dominates several preceding...

The paper presents a brief description of algorithms for solving fuzzy multicriteria decision making problems. The evaluations of the alternatives by the criteria can be real numbers by different scales, fuzzy preference relations by each criterion or trapezoidal fuzzy numbers by the criteria. The weights of the criteria can be real numbers, weighting functions or fuzzy relation between the cou...

Aggregation of fuzzy relations in multicriteria decision making problems is considered. Pair wise comparisons between the alternatives by several criteria are given as fuzzy relations with definite properties. The weighted coefficients of the criteria are fuzzy numbers. The aim is to suggest models for aggregation of the fuzzy relations taking into account the criteria importance. The propertie...

The selection of students is a complex decision making process, in which multiple selection criteria often need to be considered and where subjectiveness and imprecision are usually present, resulting that fuzzy and imprecise data should be used. This paper formulates the student selection process as a multicriteria decision analysis problem, concretely as a ranking problem, by using the ELECTR...

Coalitional game deals with situations that involve cooperations among players, and there are different solution concepts such as the core,the Shapley value and the kernel. In many situations, there is no way to predict the payoff functions except for the expert experiencesand subjective intuitions, which leads to the coalitional game with fuzzy payoffs. Within the framework of credibility theo...

Robust and resilient interconnected structures rely on decision procedures, both under uncertainty and multicriteria. In decision under uncertainty, we aim at finding a scoring procedure to determine an optimal decision without prior knowledge on the actual state of the world. In multicriteria decision making, the state of the world is known but we aim at ranking alternatives defined over a mul...

Decision-making problems (location selection) often involve a complex decision-making process in which multiple requirements and uncertain conditions have to be taken into consideration simultaneously. In evaluating the suitability of alternatives, quantitative/qualitative assessments are often required to deal with uncertainty, subjectiveness and imprecise data, which are best represented with...

Spatial analysis techniques are widely used as an effective approach for prone road traffic accident classification. This paper will present the results of empirical behavioral testing on spatial classification using Multicriteria Decision Making (MCDM) method. The performance MCDM is compared arterial and collector types processed with multicriteria parameters. was chosen because it can be a d...