Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations

By Francisco Chiclana, Francisco Herrera, Enrique Herrera-Viedma. Fuzzy Sets Syst., 2001

542 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/ce583eca7b4ec66a141d9573046da224ca33a7f3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

In Control and Systems Engineering

In Management Science and Operations Research

Citations in the corpus

A consensus model for multiperson decision making with different preference structures (2002, methodology): “As we have shown in [5], when the information is consistent we obtain the same ordered vector of alternatives using dominance degree and nondominance degree, which are independent of the linguistic quantifier used.”
Induced uncertain linguistic OWA operators applied to group decision making (2006, methodology): “; nÞ by using (1), for simplicity, let pij 1⁄4 pð~si P~sjÞ, then, we develop a complementary matrix [29–36] as”
Cardinal Consistency of Reciprocal Preference Relations: A Characterization of Multiplicative Transitivity (2009, methodology): “An example of this inappropriateness is the additive transitivity property that, although equivalent to Saaty’s consistency property for multiplicative preference relations [6], [31], is in conflict with the [0, 1] scale used for providing the preference values.”
Intuitionistic Fuzzy Analytic Hierarchy Process (2014, background): “Definition 3 [23], [40]–[42]: A fuzzy preference relation Δ on the set X = {x1 , x2 , .”
Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP (2008, unknown): “Proposition 2 .1 [9] [17] [24] [27] [28] .”
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.”
Some issues on consistency of fuzzy preference relations (2004, background): “Keywords: decision making, fuzzy preference relations, multiplicative preference relations, consistency, reciprocity.”
Multiperson decision-making based on multiplicative preference relations (2001, methodology): “As we pointed out at the beginning, preference relation is the most common representation of information used in MPDM problems because it is a useful tool in modelling decision processes, above all when we want to aggregate experts’ preferences into group preferences [3,5, 6 ,9,10,16,18,19,23,24].”
Group Decision-Making Model With Incomplete Fuzzy Preference Relations Based on Additive Consistency (2007, background): “In fact, this is an issue that recently has attracted the attention of many researchers in the area of GDM, and as a result different approaches to integrating different preference representation formats have been proposed [1], [2], [8], [13], [40], [41].”
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]).”
A web based consensus support system for group decision making problems and incomplete preferences (2010, methodology): “In [9], another preference representation format (multiplicative preference relations) was incorporated to the previous model to enhance it.”
Consensus reaching in social network group decision making: Research paradigms and challenges (2018, background): “In particular, when dealing with additive preference relations, an approach based on dominance and non-dominance degrees of alternatives is often adopted [51,52].”