Iterative algorithms for improving consistency of intuitionistic preference relations

Z Xu, M Xia - Journal of the Operational Research Society, 2014 - Taylor & Francis
consistent (or approximate consistent) intuitionistic preference relation from any intuitionistic
preference relation… improve the consistency of an intuitionistic preference relation. Moreover, …

Decision making based on intuitionistic fuzzy preference relations with additive approximate consistency

F Liu, X Tan, H Yang, H Zhao - Journal of Intelligent & Fuzzy …, 2020 - content.iospress.com
… of the concept of additive approximate consistency. First, the consistency definitions of IFPRs
are … , the novel concept of approximate consistency for IFPRs is proposed. Then the additive …

An axiomatic approach to approximation-consistency of triangular fuzzy reciprocal preference relations

F Liu, W Pedrycz, ZX Wang, WG Zhang - Fuzzy Sets and Systems, 2017 - Elsevier
… Now we apply the axiom A3 to analyze the consistent multiplicative reciprocal preference
relations. It is noted that the important problem of rank preservation and reversal in the AHP …

Consistency measures for hesitant fuzzy linguistic preference relations

B Zhu, Z Xu - IEEE Transactions on Fuzzy Systems, 2013 - ieeexplore.ieee.org
consistency measures using preference relations in decision making, we develop some
consistency … (24) to make the NHFLPR of a HFLPR approximate its consistent NHFLPR as much …

A decision making model based on intuitionistic multiplicative preference relations with approximate consistency

H Zhao, X Tan, F Liu - International Journal of Machine Learning and …, 2021 - Springer
… multiplicative preference relations (IMPRs). In this study, the known consistency definitions
of … By considering the uncertainty shown by IMPRs, the concept of approximate consistency (…

Measuring consistency of interval-valued preference relations: comments and comparison

F Liu, MJ Huang, CX Huang, W Pedrycz - Operational Research, 2022 - Springer
… of IVPRs in terms of the imaginary intervals is equivalent to that of defining the approximate
consistency. Numerical examples are reported to illustrate the differences of the two …

Transitivity and approximate consistency threshold determination for reciprocal preference relations in group decision making

X Mi, H Liao, XJ Zeng - Journal of the Operational Research …, 2022 - Taylor & Francis
… may exist in individual preferences or the group preferences even though the consensus level
… an approximate transitivity-based consistency threshold for reciprocal preference relations

Consistency and consensus modeling of linear uncertain preference relations

Z Gong, W Guo, E Herrera-Viedma, Z Gong… - European Journal of …, 2020 - Elsevier
consistency of interval fuzzy preference relations (IFPRs). In this paper, we resolve this difficulty
by constructing linear uncertain preference relations (… of uncertain preference relations (…

Some issues on consistency of fuzzy preference relations

E Herrera-Viedma, F Herrera, F Chiclana… - European journal of …, 2004 - Elsevier
… method to construct consistent fuzzy preference relations from n−1 given preference values.
… f(A)=A ′ with approximated values in [1/9,9] A ′ = 1 42/25 18/5 9 25/42 1 107/50 134/25 5/…

An overview on managing additive consistency of reciprocal preference relations for consistency-driven decision making and fusion: Taxonomy and future directions

CC Li, Y Dong, Y Xu, F Chiclana, E Herrera-Viedma… - Information …, 2019 - Elsevier
… We propose some open problems on consistency of reciprocal preference relations. …
consistent preference relation; otherwise the lower the value of J the more consistent is F. The …