Induced uncertain linguistic OWA operators applied to group decision making
Information FusionPublished 21 July 2004
Zeshui Xu
Citations445
SJR quartileQ1
SJR score4.13
SNIP4.60
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
The aim of this paper is to develop some induced uncertain linguistic OWA operators, in which the second components are uncertain linguistic variables, and these operators are applied to group decision making with uncertain linguistic information.
Abstract
The ordered weighted averaging (OWA) operator was developed by Yager [IEEE Trans. Syst., Man, Cybernet. 18 (1998) 183]. Later, Yager and Filev [IEEE Trans. Syst., Man, Cybernet.––Part B 29 (1999) 141] introduced a more general class of OWA operators called the induced ordered weighted averaging (IOWA) operators, which take as their argument pairs, called OWA pairs, in which one component is used to induce an ordering over the second components which are exact numerical values and then aggregated. The aim of this paper is to develop some induced uncertain linguistic OWA (IULOWA) operators, in which the second components are uncertain linguistic variables. Some desirable properties of the IULOWA operators are studied, and then, the IULOWA operators are applied to group decision making with uncertain linguistic information.
Keywords
Computer ScienceDecision SciencesEngineering
Information SciencesThe concept of a linguistic variable and its application to approximate reasoning-III
12,148 Citations1975L. A. Zadeh
Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Information SciencesThe concept of a linguistic variable and its application to approximate reasoning—I
12,036 Citations1975Lotfi A. Zadeh
It is shown that probabilities, too, can be treated as linguistic variables with values such as likely, very likely, unlikely, etc.
Medical Entomology and ZoologyMultiple Attribute Decision Making: Methods and Applications
8,268 Citations1981Shu-Jen J. Chen, C. L. Hwang +2 more
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 SystemsA 2-tuple fuzzy linguistic representation model for computing with words
2,634 Citations2000Luis Martı́nez, Francisco Herrera
This paper develops a computational technique for computing with words without any loss of information in the 2-tuple linguistic model and extends different classical aggregation operators to deal with this model.
Computers & Mathematics with ApplicationsA computational approach to fuzzy quantifiers in natural languages
1,825 Citations1983Lotfi A. Zadeh
Fuzzy Sets and SystemsLinguistic decision analysis: steps for solving decision problems under linguistic information
1,550 Citations2000Francisco Herrera, Enrique Herrera‐Viedma
A study on the steps to follow in linguistic decision analysis is presented in a context of multi-criteria/multi-person decision making.
Fuzzy Sets and SystemsA model of consensus in group decision making under linguistic assessments
1,135 Citations1996Francisco Herrera, Enrique Herrera‐Viedma +1 more
This paper presents a consensus model in group decision making under linguistic assessments, based on the use of linguistic preferences to provide individuals' opinions, and on theUse of fuzzy majority of consensus, represented by means of a linguistic quantifier.
International Journal of Intelligent SystemsQuantifier guided aggregation using OWA operators
1,106 Citations1998Ronald R. Yager
An extension of the OWA operators which involves the use of triangular norms is introduced and a procedure for determining the measure of “orness” directly from the quantifier is suggested.
Elsevier eBooksOn Ordered Weighted Averaging Aggregation Operators in Multicriteria Decisionmaking
1,060 Citations1993Ronald R. Yager
IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)Induced ordered weighted averaging operators
993 Citations1999Ronald R. Yager, Dimitar Filev
A more general type of OWA operator called the Induced Ordered Weighted Averaging (IOWA) Operator is introduced, in which one component is used to induce an ordering over the second components which are then aggregated.
Information SciencesA method based on linguistic aggregation operators for group decision making with linguistic preference relations*1
961 Citations2003Zhigang Xu
This paper proposes a practical method for group decision making with linguistic preference relations based on the LGA and the LHGA operators and develops some new aggregation operators, which can be utilized to aggregate preference information taking the form of linguistic variables.
The Ordered Weighted Averaging Operators: Theory and Applications
887 Citations1997Ronald R. Yager, Janusz Kacprzyk
This volume is the first in the literature on the increasingly popular Ordered Weighted Averaging (OWA) operators, making it possible to change the form of aggregation from the `pessimistic' minimum-type aggregation through all intermediate types, to the `optimistic' maximum-type aggregations.
IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic contexts in multi-expert decision-making
870 Citations2001Francisco Herrera, Luis Martı́nez
This paper shall present a type of multigranular linguistic contexts, which they shall call linguistic hierarchies term sets, such that, when the information assessed in these structures is dealt with, it can unify the information assessment in them without loss of information.
Fuzzy Sets and SystemsIntegrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations
768 Citations1998Francisco Chiclana, Francisco Herrera +1 more
This paper uses two quantifier guided choice degrees of alternatives, a dominance degree used to quantify the dominance that one alternative has over all the others, in a fuzzy majority sense, and a non dominance degree, that generalises Orlovski's non dominated alternative concept.
International Journal of Intelligent SystemsAn overview of operators for aggregating information
759 Citations2003Zhiping Xu, Q. L. Da
This work first makes a survey of the existing main aggregation operators and then proposes some new aggregation operators such as the induced ordered weighted geometric averaging (IOWGA) operator, generalized inducedordered weighted averaging (GIOWA), hybrid weighted averaged (HWA), etc., and briefly classify all of these aggregation operators.
International Journal of Intelligent SystemsThe weighted OWA operator
601 Citations1997Vicenç Torra
A new combination function is defined, the WOWA (Weighted OWA), that combines the advantages of the OWA operator and the ones of the weighted mean and is study some of its properties and shows how it can be extended to deal with linguistic labels.
International Journal of Intelligent SystemsQuantifier guided aggregation using OWA operators
547 Citations1996Ronald R. Yager
Fuzzy Sets and SystemsOn the issue of obtaining OWA operator weights
539 Citations1998Dimitar Filev, Ronald R. Yager
This work investigates the issue of obtaining the weights associated with the OWA aggregation in the situation when the authors have observed data on the arguments and the aggregated value and introduces a family of OWA operators called exponential OWA Operators.
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.
Fuzzy Sets and SystemsIntegrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations
520 Citations2001Francisco Chiclana, Francisco Herrera +1 more
A consistency study of this transformation function, which demonstrates that it does not change the informative content of multiplicative preference relation, is shown.
Fuzzy Sets and SystemsInduced aggregation operators
394 Citations2003Ronald R. Yager
The induced ordered weighted averaging (IOWA) operator is introduced and it is shown its possibilities in modeling nearest-neighbor rules and also used to establish a new class of information fusion models called "best yesterday models".
Fuzzy Sets and SystemsAn analytic approach for obtaining maximal entropy OWA operator weights
352 Citations2001Robert C. Fuller, Péter Majlender
Using the method of Lagrange multipliers, this paper shall solve this constrained optimization problem analytically and derive a polynomial equation which is then solved to determine the optimal weighting vector.
International Journal of Intelligent SystemsThe ordered weighted geometric averaging operators
338 Citations2002Zeshui Xu, Q. L. Da
This article proposes two new classes of aggregation operators called ordered weighted geometric averaging (OWGA) operators and study some desired properties of these operators.
International Journal of Approximate ReasoningGoal programming models for obtaining the priority vector of incomplete fuzzy preference relation
248 Citations2004Zeshui Xu
This paper proposes two goal programming models, based on additive consistent incomplete fuzzy preference relation and multiplicative consistent incomplete fuzziest preference relation respectively, for obtaining the priority vector of incomplete fuzzy preferences.
Cybernetics & SystemsA NEW METHOD FOR HANDLING MULTICRITERIA FUZZY DECISION-MAKING PROBLEMS USING FN-IOWA OPERATORS
205 Citations2003SHI-JAY CHEN, Shyi‐Ming Chen
The proposed FN-IOWA operator can deal with multicriteria fuzzy decision-making problems in a more intelligent and more flexible manner and a new method for ranking fuzzy numbers is presented.
Fuzzy Optimization and Decision MakingAn Approach to Improving Consistency of Fuzzy Preference Matrix
92 Citations2003Zeshui Xu, DA Qing-li
This paper gives a practical iterative algorithm to derive a modified fuzzy preference matrix with acceptable consistency and gives a numerical example to show the feasibility and effectiveness of the algorithm.
IEEE Transactions on Fuzzy SystemsOn aggregation operators for ordinal qualitative information
78 Citations2000Lluı́s Godo, Vicenç Torra
This paper proposes a method to average qualitative values, belonging to a (finite) ordinal scale, weighted with natural numbers, and based on the use of finite t-norms and t-conorms defined on the scale of values.
Fuzzy Sets and SystemsThe WOWA operator and the interpolation function W*: Chen and Otto's interpolation method revisited
51 Citations2000Vicenç Torra
A new interpolation method is constructed and it is proved that it has a smooth shape on the boundaries of the WOWA operator, an aggregation function that generalizes both the weighted mean and the OWA operator.
International Journal of Intelligent SystemsNew modes of OWA information fusion
44 Citations1998Ronald R. Yager
This work focuses on the OWA operator, and considers the case in which the arguments to be aggregated are drawn from an ordinal scale; the solution to this problem leads us to consider random weighting vectors.
International Journal of Intelligent SystemsThe induced fuzzy integral aggregation operator
41 Citations2002Ronald R. Yager
It is shown how this new induced fuzzy integral operator provides a natural framework for the implementation of nearest neighbor rules.
International Journal of Intelligent SystemsMultiple priorities in an induced ordered weighted averaging operator
36 Citations2000H. B. Mitchell, P. A. Schaefer
This paper shows how the induced OWA operator may be defined when each argument ai has associated with it N priority values αip, p∈{1, 2,…,N}, instead of a single priority value.
International Journal of Intelligent SystemsA comparison of active set method and genetic algorithm approaches for learning weighting vectors in some aggregation operators
34 Citations2001David Nettleton, Vicenç Torra
Two contrasting methods, active set method (ASM) and genetic algorithms, for learning the weights in aggregation operators, such as weighted mean (WM), ordered weighted average (OWA), and weighted ordered weightedAverage (WOWA) are compared.
RACO (Revistes Catalanes amb Accés Obert) (Consorci de Serveis Universitaris de Catalunya)On the learning of weights in some aggregation operators: the weighted mean and OWA operators
33 Citations1999Vicenç Torra
Fuzzy Sets and SystemsPointwise convergence, continuous convergence and even continuity in FNS
20 Citations2000Gunther Jäger
The notions of pointwise convergence, continuous convergence and even continuity are discussed and shown to be described entirely using ordinary filters for fuzzy convergence spaces using prefilters.
RACO (Revistes Catalanes amb Accés Obert) (Consorci de Serveis Universitaris de Catalunya)A model of decision with lingustic knowledge
5 Citations1994M. Teresa Lamata
A new aggregating method for the decision problem in which the possible values of rewards are known in linguistic terms and OWA operators provide an adequate framework for representing the optimism degree of the decision maker in case the authors have no information about the real state.