Abstract
Dempster‐Shafer evidence theory is a very useful tool in dealing with the decision‐making of uncertain information. However, the classical evidence theory is no longer applicable when the frame of discernment (FOD) is incomplete. Moreover, incomplete FOD is an important reason for the emergence of conflict. So it is necessary to identify whether the FOD of the system is complete or not. In this paper, a method is proposed to identify the incomplete FOD under framework of the generalized evidence theory dealing with incomplete information. Within the proposed method, pieces of evidence are generated from the attributes of each sample firstly; then three criteria are used to identify weather the FOD is incomplete according to these evidence. The main parameters of the criteria are the amount of ∅ being a focal element in generated evidence, the mass of ∅ in the weighted average evidence from generated evidence, and the mass of ∅ in the combination of generated evidence. Some experiments are used to demonstrate the effectiveness of the proposed method.
Highlights
A Method to Identify the Incomplete Framework of Discernment in Evidence TheoryDempster-Shafer evidence theory is a very useful tool in dealing with the decision-making of uncertain information
Dempster-Shafer evidence theory (D-S evidence theory) [1, 2] is widely used in many fields such as decision-making [3,4,5,6], evidential reasoning [7, 8], uncertainty measure [9, 10], and others [11,12,13,14,15] because of its advantages in handling uncertainty information
How can we identify the completeness of frame of discernment (FOD) Θ according to T? In this paper, for the sample T, at first q generalized basic probability assignment (GBPA) which allow the empty set to have mass (i.e., m(0) > 0), denoted as m1, m2, . . . , mq, will be generated from the q attributes
Summary
Dempster-Shafer evidence theory is a very useful tool in dealing with the decision-making of uncertain information. The classical evidence theory is no longer applicable when the frame of discernment (FOD) is incomplete. Incomplete FOD is an important reason for the emergence of conflict. It is necessary to identify whether the FOD of the system is complete or not. A method is proposed to identify the incomplete FOD under framework of the generalized evidence theory dealing with incomplete information. Pieces of evidence are generated from the attributes of each sample firstly; three criteria are used to identify weather the FOD is incomplete according to these evidence. Some experiments are used to demonstrate the effectiveness of the proposed method
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
