A New Belief Entropy Based on Deng Entropy

Dan Wang · Jiale Gao · Daijun Wei

39 citations0/0 files storedEntropy

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Multi-Criteria Decision Making Rough Sets and Fuzzy Logic Fuzzy and Soft Set Theory

Abstract

For Dempster–Shafer evidence theory, how to measure the uncertainty of basic probability assignment (BPA) is still an open question. Deng entropy is one of the methods for measuring the uncertainty of Dempster–Shafer evidence. Recently, some limitations of Deng entropy theory are found. For overcoming these limitations, some modified theories are given based on Deng entropy. However, only one special situation is considered in each theory method. In this paper, a unified form of the belief entropy is proposed on the basis of Deng entropy. In the new proposed method, the scale of the frame of discernment (FOD) and the relative scale of a focal element with reference to FOD are considered. Meanwhile, for an example, some properties of the belief entropy are obtained based on a special situation of a unified form. Some numerical examples are illustrated to show the efficiency and accuracy of the proposed belief entropy.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 39 citations exist upstream.

References

1978Measuring the efficiency of decision making units 1982Regret in Decision Making under Uncertainty 1954The theory of decision making.1986A simple view of the Dempster-Shafer theory of evidence and its implication for the rule of combination 2002A New Approach to Risk Evaluation and Management: Risk‐Based, Precaution‐Based, and Discourse‐Based Strategies1 2016An improved method to construct basic probability assignment based on the confusion matrix for classification problem 2010SUSTAINABLE GLOBAL SUPPLIER MANAGEMENT: THE ROLE OF DYNAMIC CAPABILITIES IN ACHIEVING COMPETITIVE ADVANTAGE 2016Deng entropy

Cited by

2021A new correlation coefficient of mass function in evidence theory and its application in fault diagnosis 2023A numerical comparative study of uncertainty measures in the Dempster–Shafer evidence theory 2023A new uncertainty measure via belief Rényi entropy in Dempster-Shafer theory and its application to decision making 2021An improved evidential Markov decision making model

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.