An error-analysis-based method for the priority of an intuitionistic preference relation in decision making
Knowledge-Based SystemsPublished 12 April 2012
Zeshui Xu
Citations46
SJR quartileQ1
SJR score1.93
SNIP2.34
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
An error-analysis-based method is developed for the priority of an intuitionistic preference relation, and then a possibility degree formula is used to derive the ranking of the considered alternatives.
Abstract
Intuitionistic fuzzy preference relation is a suitable tool used to describe uncertain or vague preference information provided by a decision maker in fuzzy decision making situations. A key step in decision making with an intuitionistic preference relation is to derive the priority vector of the intuitionistic preference relation. In this paper, we develop an error-analysis-based method for the priority of an intuitionistic preference relation, and then a possibility degree formula is used to derive the ranking of the considered alternatives. Moreover, a numerical analysis on the developed method is conducted through an illustrative example.
Keywords
Decision SciencesMathematicsEngineering
Fuzzy Sets and SystemsIntuitionistic fuzzy sets
16,153 Citations1986Krassimir Atanassov
Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
IEEE Transactions on Systems Man and CyberneticsOn ordered weighted averaging aggregation operators in multicriteria decisionmaking
7,125 Citations1988Ronald R. Yager
A type of operator for aggregation called an ordered weighted aggregation (OWA) operator is introduced and its performance is found to be between those obtained using the AND operator and the OR operator.
IEEE Transactions on Fuzzy SystemsIntuitionistic Fuzzy Aggregation Operators
2,660 Citations2007Zeshui Xu
Based on score function and accuracy function, a method is introduced for the comparison between two intuitionistic fuzzy values and some aggregation operators are developed, such as the intuitionism fuzzy weighted averaging operator, intuitionists fuzzy ordered weighted averaging operators, and intuitionistic fuzziness hybrid aggregation operator, for aggregating intuitionist fuzzy values.
Fuzzy Sets and SystemsFamilies of OWA operators
1,216 Citations1993Ronald R. Yager
A number of parametrized families of OWA operators are introduced; maximum entropy, S-OWA, step and window are among the most important of these families and the evaluation of quantified propositions using these operators is studied.
Elsevier eBooksOn Ordered Weighted Averaging Aggregation Operators in Multicriteria Decisionmaking
1,060 Citations1993Ronald R. Yager
Information SciencesIntuitionistic preference relations and their application in group decision making☆
838 Citations2007Zeshui Xu
This paper develops an approach to group decision making based on intuitionistic preference relations and an approach based on incomplete intuitionism preference relations respectively, in which the intuitionistic fuzzy arithmetic averaging operator and intuitionism fuzzy weighted arithmetic averagingoperator are used to aggregate intuitionistic preferences.
International Journal of Intelligent SystemsThe uncertain OWA operator
538 Citations2002Zhiping Xu, Q. L. Da
This article investigates the uncertain OWA operator in which the associated weighting parameters cannot be specified, but value ranges can be obtained and each input argument is given in the form of an interval of numerical values.
Knowledge-Based SystemsGRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting
463 Citations2010Guiwu Wei
An optimization model based on the basic ideal of traditional grey relational analysis (GRA) method is established, by which the attribute weights can be determined, and an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
Knowledge-Based SystemsApproaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators
462 Citations2011Zeshui Xu
This paper develops a series of operators for aggregating IFNs, establishes various properties of these power aggregation operators, and applies them to develop some approaches to multiple attribute group decision making with Atanassov's intuitionistic fuzzy information.
Fuzzy Optimization and Decision MakingIntuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group
303 Citations2009Zeshui Xu, Ronald R. Yager
A similarity measure that takes into account not only a pure distance between intuitionistic fuzzy sets but also examines if the compared values are more similar or more dissimilar to each other is developed.
Knowledge-Based SystemsInduced generalized intuitionistic fuzzy operators
299 Citations2010Zeshui Xu, Meimei Xia
Choquet integral and Dempster-Shafer theory of evidence are applied to aggregate inuitionistic fuzzy information and some new types of aggregation operators are developed, including the induced generalized intuitionistic fuzzy Choquet integral operators and induced generalized intuistic fuzzy Dem pster-shafer operators.
Lecture notes in computer scienceA Similarity Measure for Intuitionistic Fuzzy Sets and Its Application in Supporting Medical Diagnostic Reasoning
290 Citations2004Eulalia Szmidt, Janusz Kacprzyk
A new similarity measure for intuitionistic fuzzy sets is proposed and shown its usefulness in medical diagnostic reasoning and point out advantages over the most commonly used similarity measures being just the counterparts of distances.
International Journal of Intelligent SystemsA consensus-reaching process under intuitionistic fuzzy preference relations
254 Citations2003Eulalia Szmidt, Janusz Kacprzyk
It is shown that intuitionistic fuzzy preference relations, that in addition to a membership degree include a hesitation margin, can better reflect the very imprecision of testimonies of the individuals during the consensus‐reaching process.
Knowledge-Based SystemsAn interpretation of intuitionistic fuzzy sets in terms of evidence theory: Decision making aspect
148 Citations2010Ludmila Dymova, Pavel Sevastjanov
The proposed approach and a new method for interval comparison based on DST allow us to solve multiple criteria decision making problem without intermediate defuzzification when not only criteria, but their weights are intuitionistic fuzzy values.
Journal of the Operational Research SocietyThe Propagation of Errors in Multiple-attribute Decision Analysis: A Practical Approach
123 Citations1989Kwangsun Yoon
A multiple-attribute error analysis is presented in order to make more precise discrimination among competing alternatives under uncertain environments and to measure the propagation of errors in the value of alternatives due to individual attribute rating and weight errors.
Expert Systems with ApplicationsThe optimal priority models of the intuitionistic fuzzy preference relation and their application in selecting industries with higher meteorological sensitivity
119 Citations2010Zaiwu Gong, Lian-Shui Li +2 more
A least squares method and a goal programming method are proposed to get the priority of the intuitionistic fuzzy preference relation (IFPR) and it is shown that the same methods apply to the circumstance of group decision making.
Journal of systems engineeringAlgorithm for priority of fuzzy complementary judgement matrix
115 Citations2001XU Ze
This paper gives an analysis for the parameters in the transformation formulas of the fuzzy consistent judgement matrix and presents a formula for priority, which needs less time in calculation and is simple, reasonable and effective.
Systems Engineering - Theory & PracticeApproaches to Multiple Attribute Decision Making with Intuitionistic Fuzzy Preference Information
65 Citations2007Zeshui Xu
Two approaches to multiple attribute decision making with intuitionistic fuzzy preference information are proposed and a practical example is used to show the processes of calculation of the developed approaches and to verify their effectiveness.
Fuzzy Information and EngineeringA Method for Estimating Criteria Weights from Intuitionistic Preference Relations
40 Citations2009Zeshui Xu
A method for estimating criteria weights from a fuzzy preference relation, and then extending the method to accommodate group decision making based on them to illustrate the feasibility and validity of the developed method.
Systems Engineering - Theory & PracticeBatch Ordering Policy of Multi-location Spare Parts Inventory System with Emergency Lateral Transshipments
15 Citations2007Jiazhen Huo, Hu Li
A batch ordering model for multi-location spare parts inventory system with emergency lateral transshipments is provided, and algorithms for calculating the probabilities of demand fulfillment by inventory point self, by transshipment, or backorder are given.