Intuitionistic preference relations and their application in group decision making

By Zeshui Xu. Information Sciences, 2007

873 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Control and Systems Engineering, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/d6db38ca437d65154807dd0b52439ab4325e0245

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In Artificial Intelligence

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Citations in the corpus

An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights (2009, background): “62 Xu [33] defines consistent, incomplete, and acceptable preference relations and develops 63 another approach to group decision making under the intuitionistic fuzzy environment.”
Intuitionistic Fuzzy Bonferroni Means (2011, background): “In such cases, the data or preferences given by the experts may be appropriately expressed in IFNs [13]–[18].”
Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information (2013, background): “…making problems are not always expressed in real numbers, and some are better suited to be denoted by fuzzy values, such as interval values [4] [5] [6], linguistic variables [7] [8], intuitionistic fuzzy values [9] [10] [11] [12], and hesitant fuzzy elements (HFEs) [13] [14], just to mention a few.”
Intuitionistic Fuzzy Analytic Hierarchy Process (2014, background): “Xu [26] introduced the concept of intuitionistic preference relation.”
Picture fuzzy sets - A new concept for computational intelligence problems (2013, background): “Xu [14] defmed some new intuitionistic preference relations, such as the consistent intuitionistic preference relation, imcomplete intuitionistic preference relation and studied their properties.”
Dynamic intuitionistic fuzzy multi-attribute decision making (2008, background): “Xu [14] defined some new intuitionistic preference relations, such as the consistent intuitionistic preference relation, incomplete intuitionistic preference relation and acceptable intuitionistic preference relation, and studied their properties.”
Choquet integrals of weighted intuitionistic fuzzy information (2010, methodology): “,xn}, an IFS is defined as [1] A 1⁄4 fhxi; tAðxiÞ; fAðxiÞijxi 2 Xg; ð1Þ which assigns to each element xi a membership degree tA(xi) and a non-membership degree fA(xi) under the condition 0 6 tAðxiÞ þ fAðxiÞ 6 1; for all xi 2 X: ð2Þ In [18,23], we called the ordered pair aðxiÞ 1⁄4 ðtaðxiÞ; faðxiÞÞ an”
Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group (2009, background): “Later, Xu (2007) introduced the concepts of intuitionistic fuzzy preference relation as below: Definition 3 An intuitionistic fuzzy preference relation R on the set X is represented by a matrix R = ( r ij ) n × n ⊂ X × X with r ij = (µ ij , v ij , π ij ) , for all i , j = 1 , 2 , . . . , n , where…”
Distance and similarity measures for hesitant fuzzy sets (2011, background): “Later, a number of other extensions of the above distance measures have been developed for linguistic fuzzy sets (LFSs) [38] and IFSs [10–12,15–17,24,29,30,35,39–44].”
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].”
New decision-making techniques and their application in the selection of financial products (2010, background): “Note that we may find in the literature a wide range of other decision-making methods, such as [4,15–17,32,38,39,41–43,52,56].”
A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method (2009, methodology): “In order to do that, IFWA operator proposed by Xu (2007d) is used.”
A review of fuzzy AHP methods for decision-making with subjective judgements (2020, background): “Intuitionistic fuzzy weighted averaging (IFWA) includes weighted arithmetic and geometric averaging operators (Xu, 2007).”