Necessity of two normalities for the priority vectors of additively consistent fuzzy preference relations with application to group decision making

DOI10.1016/j.ijar.2023.108927OpenAlexW4366992843MaRDI QIDQ6116523

Wei Yang, Ze-Shui Xu, Zhen Ming Ma

Publication date: 18 July 2023

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2023.108927

zbMATH Keywords

group decision makingconsensusfuzzy preference relationsadditive consistencyTanino's normalized priority vectors

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37)

Cites Work

• Unnamed Item
• Group consensus algorithms based on preference relations
• A concise consensus support model for group decision making with reciprocal preference relations based on deviation measures
• Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation
• Group decision making based on multiplicative consistent reciprocal preference relations
• A consensus process for group decision making with probabilistic linguistic preference relations
• A method for repairing the inconsistency of fuzzy preference relations
• Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations
• Intuitionistic preference relations and their application in group decision making
• Normalizing rank aggregation method for priority of a fuzzy preference relation and its effectiveness
• On the priority vector associated with a reciprocal relation and a pairwise comparison matrix
• Group decision analysis based on fuzzy preference relations: logarithmic and geometric least squares methods
• Fuzzy preference orderings in group decision making
• Decision-making with a fuzzy preference relation
• Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations
• Some issues on consistency of fuzzy preference relations.
• Least square completion and inconsistency repair methods for additively consistent fuzzy preference relations
• Hyperbolic scales involving appetites-based intuitionistic multiplicative preference relations for group decision making
• Visualizing and rectifying different inconsistencies for fuzzy reciprocal preference relations
• Incomplete pairwise comparison and consistency optimization
• Algorithms for improving consistency or consensus of reciprocal \([0,1\)-valued preference relations]
• On the normalisation of a priority vector associated with a reciprocal relation
• Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations.

This page was built for publication: Necessity of two normalities for the priority vectors of additively consistent fuzzy preference relations with application to group decision making