Cardinal Consistency of Reciprocal Preference Relations: A Characterization of Multiplicative Transitivity

By Francisco Chiclana, Enrique Herrera-Viedma, Sergio Alonso, Francisco Herrera. IEEE transactions on fuzzy systems, 2009

405 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/7a5208b6aad84e72cf83c5a072da9b7a945aef90

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In Applied Mathematics

In Computational Theory and Mathematics

In Management Science and Operations Research

Citations in the corpus

Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information (2010, background): “We should point out that in expressions (7)–(9), we could find that the value of argument of the function Dt0 could lie outside the interval 1⁄20;nðt0Þ 1 [13,30].”
TOPSIS-Based Nonlinear-Programming Methodology for Multiattribute Decision Making With Interval-Valued Intuitionistic Fuzzy Sets (2010, background): “which are the conditions that a fuzzy-judgment matrix should satisfy [28], [29].”
Trust based consensus model for social network in an incomplete linguistic information context (2015, methodology): “Trust Based Estimation and Aggregation of 2–tuple Linguistic Values To deal with the unknown elements in decision making process, some estimation methods were introduced in the decision making with preference relations [1] [12] [13] [43].”
A social network analysis trust-consensus based approach to group decision-making problems with interval-valued fuzzy reciprocal preference relations (2014, background): “This is captured in the following definition [9]: Definition 5 (Consistent FRPR).”
A review on trust propagation and opinion dynamics in social networks and group decision making frameworks (2019, background): “The type of uninorm operator used in [47] is the well known andlike representable cross ratio uninorm which, according to [7], is the most convenient for handling appropriately inconsistent information.”
A web based consensus support system for group decision making problems and incomplete preferences (2010, background): “(3) and (6)to compute all the missing values that could be estimated (for more details check [1,11,30]) and it presents them in area (1).”
Computing the Numerical Scale of the Linguistic Term Set for the 2-Tuple Fuzzy Linguistic Representation Model (2009, background): “In [9], the consistency of reciprocal [0, 1]-valued preference relations is modeled via a functional equation, and it is shown that when such a function is almost continuous and monotonic (increasing), then it must be a representable uninorm.”
A New Consensus Model for Group Decision Making Problems With Non-Homogeneous Experts (2014, methodology): “As a future work, we propose the incorporation of a mechanism to check the consistency of the experts [15] to reduce their importance degree and, therefore, their impact in the decision making process if the expressed preferences are inconsistent.”
A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets (2013, background): “Much research has been developed on GDM problems [18,30,31], being one of the main topics, the managing and modelling of uncertainty by different forms of information, used by experts to provide their preferences, such as utility vectors [5], fuzzy preference relations [21], linguistic variables [14”