Belief and plausible divergence measures: a novel approach to multicriteria decision making with modified CODAS

• Published in: Computational & applied mathematics Vol. 43; no. 6
• Main Authors: Hussain, Rashid, Hussain, Zahid
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01-09-2024; Springer Nature B.V
• Subjects: Applications of Mathematics; Clustering; Computational Mathematics and Numerical Analysis; Decision making; Fuzzy sets; Image segmentation; Logarithms; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematics; Mathematics and Statistics; Multiple criteria decision making; Multiple criterion; Pattern recognition; Intuitionistic fuzzy sets; 03E72; Multicriteria decision making; 68T10; BP-CODAS; Belief and plausibility; 94D05; 62H30; BP-divergence measure; Pattern recognition; Clustering
• ISSN: 2238-3603; 1807-0302
• DOI: 10.1007/s40314-024-02781-9

Divergence measure between intuitionistic fuzzy sets (IFSs) is important due to its wide range of applications in various fields including pattern recognition, image segmentation, decision-making and clustering. This paper introduces the characterization of belief and plausible intuitionistic fuzzy sets (BP-IFSs) to explore novel logarithmic and non-logarithmic divergence measures between two BP-IFSs. These measures are regarded as highly useful approaches to express ambiguous information within the framework of Dempster–Shafer Theory (DST). An axiomatic definition based on proposed divergence measures is also stated within a frame work of newly established theory. Furthermore, the proposed divergence measures are utilized in three different applications: (i) an example related to the recognition of BP-IFS patterns is provided to demonstrate the practicality of the proposed method in pattern recognition. (ii) An example of Hierarchical agglomerative clustering is also provided. (iii) Introduces an innovative Belief and Plausible Combinative Distance-based Assessment (BP-CODAS) method based on proposed measures for resolving Multicriteria Decision Making (MCDM) problems connected to child labor in under developed countries. The examples provided in these different directions are sufficient to demonstrate the effectiveness, applicability and viability of the suggested methods within the framework of generalized DST.