In this paper, we present an extension of the multi-criteria decision making based on the Analytic Hierarchy Process (AHP) which incorporates uncertain knowledge matrices for generating basic belief assignments (bba’s). The combination of priority vectors corresponding to bba’s related to each (sub)-criterion is performed using the Proportional Conflict Redistribution rule no. 5 proposed in Dez...

In this paper, we present an extension of the multicriteria decision making based on the Analytic Hierarchy Process (AHP) which incorporates uncertain knowledge matrices for generating basic belief assignments (bba’s). The combination of priority vectors corresponding to bba’s related to each (sub)criterion is performed using the Proportional Conflict Redistribution rule no. 5 proposed in Dezer...

The work covered here had for objective to write a Matlab program able to execute efficiently the DSmT hybrid rule of combination. As we know the DSmT hybrid rule of combination is highly complex to execute and requires high amounts of resources. We have introduced a novel way of understanding and treating the rule of combination and thus were able to develop a Matlab program that would avoid t...

This chapter presents a general overview and foundations of the DSmT, i.e. the recent theory of plausible and paradoxical reasoning developed by the authors, specially for the static or dynamic fusion of information arising from several independent but potentially highly conflicting, uncertain and imprecise sources of evidence. We introduce and justify here the basis of the DSmT framework with ...

The objective of this study is to present two multitarget tracking applications based on Dezert-Smarandache Theory (DSmT) for plausible and paradoxical reasoning: (1) Target Tracking in Cluttered Environment with Generalized Data Association incorporating the advanced concept of generalized data (kinematics and attribute) association to improve track maintenance performance in complicated situa...

The recent theory of plausible and paradoxical reasoning (DSmT) developed by the authors appears to be a nice promising theoretical tools to solve many information fusion problems where the Shafer’s model cannot be used due to the intrinsic paradoxical nature of the elements of the frame of discernment and where a strong internal conflict between sources arises. The main idea of DSmT is to work...

The purpose of this paper is to present experiences related to a combination of two contrary approaches to information fusion: the first typically deterministic ontology fusion and the second based on the theory of evidence by Dezert and Smarandache (DSmT). It is the expectation of the authors that the appropriate synergy of these two approaches may bring satisfactory results when fusing divers...

In this chapter, Herrera-Mart́ınez’ 2-tuple linguistic representation model is extended for combining imprecise qualitative information using fusion rules drawn from Dezert-Smarandache Theory (DSmT) or from Dempster-Shafer Theory (DST) frameworks. The proposed approach preserves the precision and the efficiency of the combination of linguistic information. Some basic operators on imprecise 2-tup...

The Dezert–Smarandache theory (DSmT) and transferable belief model (TBM) both address concerns with the Bayesian methodology as applied to applications involving the fusion of uncertain, imprecise and conflicting information. In this paper, we revisit these concerns regarding the Bayesian methodology in the light of recent developments in the context of the DSmT and TBM. We show that, by exploi...

This chapter presents a general overview and foundations of the DSmT, i.e. the recent theory of plausible and paradoxical reasoning developed by the authors, specially for the static or dynamic fusion of information arising from several independent but potentially highly conflicting, uncertain and imprecise sources of evidence. We introduce and justify here the basis of the DSmT framework with ...