Using Shapley Inconsistency Values for Distributed Information Systems with Uncertainty
نویسندگان
چکیده
We study the problem of analyzing inconsistency in a distributed information system where the reliability of the sources is taken into account. We model uncertainty by assigning a probability to each source. This yields a definition of the expected inconsistency of the system. We also extend this with the use of Shapley values for determining the responsibility of each formula to inconsistency. Then we use the Shapley inconsistency values to assign an expected blame to each formula. From this we define the concept of weakness of a formula which represents the degree to which it should be deleted to resolve the inconsistency of the system.
منابع مشابه
SHAPLEY FUNCTION BASED INTERVAL-VALUED INTUITIONISTIC FUZZY VIKOR TECHNIQUE FOR CORRELATIVE MULTI-CRITERIA DECISION MAKING PROBLEMS
Interval-valued intuitionistic fuzzy set (IVIFS) has developed to cope with the uncertainty of imprecise human thinking. In the present communication, new entropy and similarity measures for IVIFSs based on exponential function are presented and compared with the existing measures. Numerical results reveal that the proposed information measures attain the higher association with the existing me...
متن کاملCorrelation coefficients of linguistic interval hesitant fuzzy sets and their application
To address the hesitancy, inconsistency and uncertainty of decision makers’ cognitions, linguistic interval hesitant fuzzy sets (LIHFSs) are efficient tools. This paper focuses on studying the application of LIHFSs. To do this, two correlation coefficients of LIHFSs are defined, which needn't consider the length of elements in LIHFSs or the arrangement of their possible interval values. To addr...
متن کاملObtaining a possible allocation in the bankruptcy model using the Shapley value
Data envelopment analysis (DEA) is an effective tool for supporting decision-makers to assess bankruptcy, uncertainty concepts including intervals, and game theory. The bankruptcy problem with the qualitative parameters is an economic problem under uncertainty. Accordingly, we combine the concepts of the DEA game theory and uncertain models as interval linear programming (ILP), which can be app...
متن کاملCOALITIONAL GAME WITH FUZZY PAYOFFS AND CREDIBILISTIC SHAPLEY VALUE
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...
متن کاملOn the measure of conflicts: Shapley Inconsistency Values
There are relatively few proposals for inconsistency measures for propositional belief bases. However inconsistency measures are potentially as important as information measures for artificial intelligence, and more generally for computer science. In particular, they can be useful to define various operators for belief revision, belief merging, and negotiation. The measures that have been propo...
متن کامل