Aggregation operators for linguistic weighted information
IEEE Transactions on Systems Man and Cybernetics - Part A Systems and HumansPublished 1 January 1997
Francisco Herrera, Enrique Herrera‐Viedma
Citations430
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
Three aggregation operators of weighted linguistic information are presented: linguistic weighted disjunction operator, linguistic weighted conjunction operator, and linguistic weighted averaging operator.
Abstract
The aim of this paper is to model the processes of the aggregation of weighted information in a linguistic framework. Three aggregation operators of weighted linguistic information are presented: linguistic weighted disjunction operator, linguistic weighted conjunction operator, and linguistic weighted averaging operator. A study of their axiomatics is presented to demonstrate their rational aggregation.
Keywords
Computer ScienceDecision Sciences
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.
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.
Computers & Mathematics with ApplicationsA computational approach to fuzzy quantifiers in natural languages
1,825 Citations1983Lotfi A. Zadeh
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.
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.
Elsevier eBooksOn Ordered Weighted Averaging Aggregation Operators in Multicriteria Decisionmaking
1,060 Citations1993Ronald R. Yager
Information SciencesA review of fuzzy set aggregation connectives
925 Citations1985Didier Dubois, Henri Prade
An extensive survey on fuzzy set-theoretic operations is provided, and the relevance of the theory of functional equations in the axiomatical construction of classes of such operations and the derivation of functional representations is emphasized.
Fuzzy Sets and SystemsGroup decision making with a fuzzy linguistic majority
690 Citations1986Janusz Kacprzyk
Using the fuzzy majority rule specified by a fuzzy linguistic quantifier, a calculus of linguistically quantified propositions is applied and various solution concepts are derived, mainly of the type of core, minimax (opposition) set and consensus winner.
Fuzzy Sets and SystemsDirect approach processes in group decision making using linguistic OWA operators
663 Citations1996Francisco Herrera, Enrique Herrera‐Viedma +1 more
A study is made of the properties and the axiomatic of LOWA operator, showing the rationality of its aggregation way and its use to solve group decision making problems from individuals linguistic preference relations.
Information SciencesA sequential selection process in group decision making with a linguistic assessment approach
630 Citations1995Francisco Herrera
A sequential selection process in group decision making under linguistic assessments is presented, where a set of linguistic preference relations represents individuals preferences and a collective linguistic preference is obtained by means of a defined linguistic ordered weighted averaging operator.
International Journal of Intelligent SystemsOn aggregation operations of linguistic labels
485 Citations1993Miguel Delgado, José Luís Verdegay +1 more
This article is devoted to defining some aggregation operations between linguistic labels, paying special attention to the convex combination labels.
Machine intelligence and pattern recognitionSelecting Uncertainty Calculi and Granularity: An Experiment in Trading-Off Precision and Complexity
395 Citations1986Piero P. Bonissone, Keith Decker
The objective of this paper is to establish a theoretical basis for defining the syntax and semantics of a small subset of calculi of uncertainty operating on a given term set of linguistic statements of likelihood.
International Journal of Intelligent SystemsLinguistic decision-making models
368 Citations1992Miguel Delgado, José Luís Verdegay +1 more
This article presents a general model for utilities evaluated in a term set of labels and the information is supposed to be a linguistic evidence, that is, is to be represented by a basic assignment of probability but taking its values on aterm set of linguistic likelihoods.
Fuzzy Sets and SystemsA rational consensus model in group decision making using linguistic assessments
350 Citations1997Francisco Herrera, Enrique Herrera‐Viedma +1 more
A new consensus model for the consensus reaching process, in a linguistic framework, is presented in heterogeneous group decision making problems, called rational consensus model, which allows more rational consensus solutions to be obtained and thus, more human consistency to be incorporated in decision support systems.
International Journal of Approximate ReasoningAn approach to ordinal decision making
325 Citations1995Ronald R. Yager
This work describes the problem of decision making under ignorance and discusses the need of introducing a decision attitude or disposition in solving this problem, and emphasizes the role of the OWA weighting vector as a means for introducing the decision maker's attitude.
Fuzzy Sets and SystemsWeighted fuzzy pattern matching
324 Citations1988Didier Dubois, Henri Prade +1 more
The fuzzy pattern matching procedure is improved by introducing weights assessing the relative importance of atoms in the pattern by using weighted versions of the minimum and maximum operations of fuzzy set theory.
Decision SciencesConcepts, Theory, and Techniques A NEW METHODOLOGY FOR ORDINAL MULTIOBJECTIVE DECISIONS BASED ON FUZZY SETS
292 Citations1981Ronald R. Yager
Using the structural forms supplied by fuzzy set theory and approximate reasoning, a new method is presented for solving multiple-objective decision problems for which the decision maker can supply only ordinal information on his preferences and the importance of the individual objectives.
IEEE Transactions on Systems Man and CyberneticsA Linguistic Approach to Decisionmaking with Fuzzy Sets
273 Citations1980Richard M. Tong, Piero P. Bonissone
It is included that decisions taken on the basis of such infomation must themselves be fuzzy, and it is suggested then to present the decision in numencal form; a statement in natural angug is much better.
Information SciencesWeighted minimum and maximum operations in fuzzy set theory
216 Citations1986Didier Dubois, Henri Prade
This short note comments on the interpretation of weighted minimum and maximum operations introduced in a previous paper as medians, and corrects a misleading statement about it.
International Journal of Man-Machine StudiesApplications and extensions of OWA aggregations
199 Citations1992Ronald R. Yager
Two possible semantics associated with the OWA operator are introduced, the first being a kind of generalized logical connective and the second being a new type of probabilistic expected value.
Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory
191 Citations1990Janusz Kacprzyk, Mario Fedrizzi
This book discusses decision Making under Fuzziness, Fuzzy Games, and an approach to Customized End-User Views in Multi-User Information Retrieval Systems.
Fuzzy Sets and SystemsSocial choice axioms for fuzzy set aggregation
126 Citations1991Didier Dubois, Jean-Luc Koning
The problem of aggregating n fuzzy sets F1, F2,.., Fn on a set ω is viewed as one of merging the opinions of n individuals that rate objects belonging to ω, and a number of conditions limiting the choice of fuzzy set operations are proposed and classified according to whether they are imperative, mainly technical, or facultative.
International Journal of Uncertainty Fuzziness and Knowledge-Based SystemsON WEIGHTED MEDIAN AGGREGATION
90 Citations1994Ronald R. Yager
The issue of weighted Min and Max aggregation is discussed and a new technique for weighted median aggregation is suggested, showing its usefulness as an alternative the weighted average when the authors are using an ordinal scale.
Fuzzy Sets and SystemsAggregation of fuzzy opinions — an axiomatic approach
77 Citations1985Wojciech Cholewa
The problem of aggregation of fuzzy opinions obtained from a group of experts in answer to the question: “Has an object the property labeled A and no property labeled ⊂1A?" is formulated and a new set of aggregation axioms is presented and an aggregating operator is introduced.
Information SystemsImportance in knowledge systems
68 Citations1989Élie Sanchez
Issues for a logic of weighted queries, with possibility of also weighting documents and logical connectors (in terms of intelligent retrieval, for example) are presented here, using “min” or t- norms, and soft operators involving p-norms.
Fuzzy Screening Systems
67 Citations1993Ronald R. Yager
This procedure is useful in environments in which the authors must select, from a large class of alternatives, a small subset to be further investigated, and requires only a non-numeric scale for the evaluation and selection of alternatives.
Fuzzy Sets and SystemsAggregation of fuzzy opinions in a non-homogeneous group
50 Citations1988Francisco Javier Montero de Juan
International Journal of Intelligent SystemsA model for linguistic partial information in decision-making problems
41 Citations1994Miguel Delgado, José Luís Verdegay +1 more
A model is proposed for dealing with decision‐making problems in which the decision maker has a vague and incomplete information about results and external factors and the suitability of considering a hierarchical structure for the set of utility labels is analyzed.
IEEE Transactions on Systems Man and CyberneticsTowards an automatic consensus generator tool: EGAC
37 Citations1995Vicenç Torra, Ulises Cortés
A method based on synthesis of judgements, fuzzy sets and classification methods that applied to a set of data matrices builds an agreed one that synthesises the information contained in the set of matrices.