Aggregation of Basic Uncertain Information With Two-Step Aggregation Frame

• Published in: IEEE transactions on emerging topics in computational intelligence Vol. 8; no. 2; pp. 1102 - 1109
• Main Authors: Jin, LeSheng, Chen, Zhen-Song, Pedrycz, Witold, Senapati, Tapan, Yatsalo, Boris, Mesiar, Radko, Beliakov, Gleb, Martinez, Luis
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.04.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Aggregation operator; Arithmetic; basic uncertain information; Business; evaluation and decision making; Fuzzy sets; IEEE Senior Members; Merging; Operators; sugeno integral; two-step aggregation; uncertain information; Uncertainty; Weight measurement
• ISSN: 2471-285X; 2471-285X
• DOI: 10.1109/TETCI.2023.3332557

There exist various categories of uncertain information, and their corresponding methods of aggregation may also vary. At present, there exists a dearth of specifically tailored techniques for aggregating basic uncertain information (BUI). The present study introduces a two-step aggregation frame that is applicable to inputs of both real-valued and BUI-valued inputs. In the process of constructing such a frame, several novel notions and definitions are introduced. These comprise of extended aggregation operators with respect to a finite set and to a collection of subsets of the set, some certainty independent BUI aggregation and some certainty dependent BUI aggregation, BUI merging operators and BUI aggregation operators, BUI-valued min operator, and BUI-valued Sugeno integral. Some corresponding deductions, necessary reasoning and numerical examples are presented.