Multiperson decision-making based on multiplicative preference relations

By Francisco Herrera, Enrique Herrera-Viedma, Francisco Chiclana. European Journal of Operational Research, 2001

470 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Computational Theory and Mathematics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/26f15d696dc84cb3377568aaf4423c1c1928dfc5

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In Artificial Intelligence

In Computational Theory and Mathematics

In Management Science and Operations Research

Citations in the corpus

A method based on linguistic aggregation operators for group decision making with linguistic preference relations (2004, unknown): “Definition 2 [26,30,31].”
Consensus models for AHP group decision making under row geometric mean prioritization method (2010, background): “, multiplicative preference relations [26,37,42] and fuzzy preference relations [11,12,20,22,40]).”
An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations (2006, unknown): “.,dn} be the set of DMs.”
Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making (2012, unknown): “(1) Calculated by the fuzzy semantic quantitative operator [12], the position weight can be defined as follows:”
Intuitionistic preference relations and their application in group decision making (2007, background): “(1) Multiplicative preference relation [24,44,51]: A multiplicative preference relation P on the set X is represented by a reciprocal matrix P 1⁄4 ðpijÞn n X X with pij > 0; pij pji 1⁄4 1; pii 1⁄4 1; for all i; j 1⁄4 1; 2; .”
Some issues on consistency of fuzzy preference relations (2004, background): “and by symmetry, only one of the following four functional equations is true [7]:”
Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP (2008, background): “Generally, these preference relations can be categorized into multiplicative preference relations [15] [19] [44], fuzzy preference relations [1,8–10,13,15,24,38,41–47] and linguistic preference relations [17,18,20–23,25,26,48–50,52].”