Journal ArticleDOI
EFMCDM: Evidential Fuzzy Multicriteria Decision Making Based on Belief Entropy
TLDR
A novel evidential fuzzy MCDM method, called EFMCDM, is proposed by integrating Dempster–Shafer theory with belief entropy to decrease the uncertainty caused by subjective human cognition to improve decision making.Abstract:
Multicriteria decision making (MCDM) has become one of the most frequently applied decision making methodologies in various fields. However, uncertainty is inevitably involved in the process of MCDM due to the subjectivity of humans. To address this issue, a novel evidential fuzzy MCDM method, called EFMCDM, is proposed by integrating Dempster–Shafer theory with belief entropy. In particular, each criterion can be modeled as evidence, and all the alternatives compose the frame of discernment in the framework of Dempster–Shafer theory. To generate more appropriate basic probability assignments (BPAs) of the criteria, the EFMCDM method considers both the subjective and objective weighting of the criteria that are leveraged in MCDM problems. Thereafter, the classic Dempster's rule of combination is leveraged to fuse the multiple pieces of evidence into composite evidence. On this basis, the alternatives are ranked to determine the optimal alternative. In addition, the EFMCDM method can quantitatively model uncertainty and help to decrease the uncertainty caused by subjective human cognition to improve decision making. Finally, the rationality, effectiveness, and robustness of the EFMCDM method are demonstrated through experimental evaluations.read more
Citations
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Journal ArticleDOI
Uncertainty measure in evidence theory
TL;DR: The development of Deng entropy as an effective way to measure uncertainty, including introducing its definition, analyzing its properties, and comparing it to other measures are discussed, and the challenges for future studies on uncertainty measurement in evidence theory are examined.
Journal ArticleDOI
A new divergence measure for belief functions in D–S evidence theory for multisensor data fusion
TL;DR: The proposed RB divergence is the first such measure to consider the correlations between both belief functions and subsets of the sets of belief functions, thus allowing it to provide a more convincing and effective solution for measuring the discrepancy between BBAs in D–S evidence theory.
Journal ArticleDOI
A Distance Measure for Intuitionistic Fuzzy Sets and Its Application to Pattern Classification Problems
TL;DR: This article proposes a new distance measure between IFSs based on the Jensen–Shannon divergence that can not only satisfy the axiomatic definition of distance measure but also has nonlinear characteristics and generates more reasonable results than do other existing measure methods.
Journal ArticleDOI
Generalization of Dempster–Shafer theory: A complex mass function
TL;DR: A generalized Dempster–Shafer evidence theory is proposed, which provides a promising way to model and handle more uncertain information and an algorithm for decision-making is devised based on this theory.
Journal ArticleDOI
Determine the Number of Unknown Targets in Open World Based on Elbow Method
TL;DR: A new method based on the elbow method is proposed to solve the problem of detecting the number of unknown targets in the open world.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Book
A mathematical theory of evidence
TL;DR: This book develops an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set functions that need only be what Choquet called "monotone of order of infinity." and Dempster's rule for combining such set functions.
Book ChapterDOI
Upper and Lower Probabilities Induced by a Multivalued Mapping
TL;DR: A distinctive feature of the present approach is a rule for conditioning, or more generally, arule for combining sources of information, as discussed in Sects.
Upper and Lower Probabilities Induced by a Multivalued Mapping.
TL;DR: In this paper, a multivalued mapping from a space X to a space S carries a probability measure defined over subsets of X into a system of upper and lower probabilities over S. Some basic properties of such systems are explored in Sects. 1 and 2.
Journal ArticleDOI
Global supplier development considering risk factors using fuzzy extended AHP-based approach
Felix T.S. Chan,Niraj Kumar +1 more
TL;DR: In this article, a fuzzy extended analytic hierarchy process (FEAHP) based methodology is discussed to tackle the different decision criteria like cost, quality, service performance and supplier's profile including the risk factors involved in the selection of global supplier in the current business scenario.
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