A general unified consistency framework of reciprocal preference relations over bipolar Abelian quasi-ordered monoids

• Published in: Information sciences Vol. 689; p. 121494
• Main Author: Wang, Zhou-Jing
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.01.2025
• Subjects: Bipolar Abelian quasi-ordered monoid; Bipolarity; Consistency; Distance-based consistency index; Imprecision; Reciprocal preference relation; Bipolarity; Bipolar Abelian quasi-ordered monoid; Distance-based consistency index; Reciprocal preference relation; Consistency; Imprecision

•Set up BAQO-monoids to characterize algebraic structures of various kinds of RPRs.•Develop a unified consistency framework of RPRs over a general BAQO-monoid.•Put forward a general unified formula to calculate inconsistency indices of RPRs.•Establish consistency models for six kinds of imprecision-...