Novel Aczel-Alsina operations-based probabilistic double hierarchy linguistic aggregation operators and their applications in Blockchain performance evaluation Blockchain

Article type: Research Article

Authors: Lei, Fan^a | Cai, Qiang^{b; *} | Wei, Guiwu^{a; b}

Affiliations: [a] School of Mathematical Sciences, Sichuan Normal University, Chengdu, P.R. China | [b] School of Business, Sichuan Normal University, Chengdu, P.R. China

Correspondence: [*] Corresponding author. Qiang Cai, School of Business, Sichuan Normal University, Chengdu, 610101, P.R. China. E-mail: [email protected].

Abstract: The development and application of blockchain provides technical support for supply chain technological innovation and industrial innovation. Integrating the decentralized, independent, open, traceable and tamper-proof features of the blockchain into the supply chain can effectively improve the problems of unstable supply chain structure, low security, low privacy, low collaboration ability and high operating costs. Establishing probabilistic double hierarchy linguistic multi-attribute decision-making (PDHL-MADM) model to evaluate the performance of blockchain is an effective measure to optimize blockchain performance and improve supply chain stability. Therefore, this thesis first takes the processing efficiency, cost, security performance, update and improvement ability as evaluation attributes. Then the IDOCRIW weight method is used to calculate the objective weight of attributes. Based on Aczel-Alsina t-norm (AATN) and Aczel-Alsina t-conorm (AATCN), four operations of probabilistic double hierarchy linguistic term set (PDHLTS) are defined, and PDHLAAWA operator, PDHLAAOWA operator, PDHLAAHA operator, PDHLAAHM operator, PDHLAAWHM operator and their dual operators are proposed, and a series of corresponding PDHL operator models are constructed. In addition, the sensitivity and stability of this series of operator models are analyzed in depth. Finally, the new model proposed in this thesis is compared with the existing model to verify its scientific and superiority.

Keywords: Probabilistic double hierarchy linguistic term set (PDHLTS), Multi-attribute decision-making (MADM), PDHLAAWA operator and PDHLAAWHM operator, evaluate the performance of blockchain

DOI: 10.3233/JIFS-235215

Journal: Journal of Intelligent & Fuzzy Systems, vol. 46, no. 4, pp. 7989-8024, 2024