Linguistic Interval Hesitant Fuzzy Sets and Their Application in Decision Making
Cognitive ComputationPublished 15 June 2015
Fanyong Meng, Chen Wang, Xiaohong Chen
Citations50
SJR quartileQ1
SJR score0.84
SNIP1.29
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TL;DR
Considering the application of linguistic interval hesitant fuzzy sets in decision making, an ordered relationship is offered, and several operational laws are defined, by which the comprehensive attribute values can be obtained.
Abstract
To cope with the hesitancy and uncertainty of the decision makers' cognitions to decision-making problems, this paper introduces a new type of fuzzy sets called linguistic interval hesitant fuzzy sets. A linguistic interval hesitant fuzzy set is composed of several linguistic terms with each one having several interval membership degrees. Considering the application of linguistic interval hesitant fuzzy sets in decision making, an ordered relationship is offered, and several operational laws are defined. After that, several aggregation operators based on additive and fuzzy measures are introduced, by which the comprehensive attribute values can be obtained. Based on the defined distance measure, models for the optimal weight vectors are constructed. In addition, an approach to multi-attribute decision making with linguistic interval hesitant fuzzy information is developed. Finally, two numerical examples are provided to show the concrete application of the procedure.
Keywords
Computer ScienceDecision Sciences
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.
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 CyberneticsOutline of a New Approach to the Analysis of Complex Systems and Decision Processes
8,667 Citations1973Lotfi A. Zadeh
By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Management ScienceDecision-Making in a Fuzzy Environment
6,763 Citations1970Richard Bellman, L. A. Zadeh
Cambridge University Press eBooksA value for <i>n</i>-person games
5,046 Citations1988Lloyd S. Shapley
IEEE Transactions on Fuzzy SystemsFuzzy logic = computing with words
3,187 Citations1996Lotfi A. Zadeh
The point of this note is that fuzzy logic plays a pivotal role in CW and vice-versa and, as an approximation, fuzzy logic may be equated to CW.
Fuzzy Sets and SystemsInterval valued intuitionistic fuzzy sets
2,842 Citations1989Krassimir Atanassov, George Gargov
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.
IEEE Transactions on Fuzzy SystemsHesitant Fuzzy Linguistic Term Sets for Decision Making
2,299 Citations2011Rosa M. Rodríguez, Luis Martı́nez +1 more
The concept of a hesitant fuzzy linguistic term set is introduced to provide a linguistic and computational basis to increase the richness of linguistic elicitation based on the fuzzy linguistic approach and the use of context-free grammars by using comparative terms.
Information and ControlA definition of a nonprobabilistic entropy in the setting of fuzzy sets theory
2,260 Citations1972Aldo de Luca, S. Termini
A functional defined on the class of generalized characteristic functions (fuzzy sets), called “entropy≓, is introduced using no probabilistic concepts in order to obtain a global measure of the indefiniteness connected with the situations described by fuzzy sets.
Lecture notes in economics and mathematical systemsFuzzy Multiple Attribute Decision Making
1,844 Citations1992Shu‐Jen Chen, Ching-Lai Hwang
Journal of the Franklin InstituteContributions to the theory of games.
1,842 Citations1960Kuhn, H W, Tucker, A W +1 more
Studies in fuzziness and soft computingInterval-Valued Intuitionistic Fuzzy Sets
1,835 Citations2019Krassimir Atanassov
In this chapter, the basic definitions and properties of the interval valued intuitionistic fuzzy sets (IVIFSs) will be introduced and the majority of the proofs below are analogous to the proofs from Chapter 1.
International Journal of Intelligent SystemsHesitant fuzzy sets
1,617 Citations2010Vicenç Torra
It is proved that the envelope of the hesitant fuzzy sets is an intuitionistic fuzzy set, and it is proved also that the operations proposed are consistent with the ones of intuitionist fuzzy sets when applied to the envelope.
On hesitant fuzzy sets and decision
1,194 Citations2009Vicenç Torra, Yasuo Narukawa
European Journal of Operational ResearchThe application of fuzzy integrals in multicriteria decision making
995 Citations1996Michel Grabisch
It is shown that fuzzy integrals are able to model interaction between criteria in a flexible way and is one of the aims of this review to disseminate this emerging technology in many industrial fields.
Fuzzy Sets and Systemsk-order additive discrete fuzzy measures and their representation
958 Citations1997Michel Grabisch
A related topic of the paper is to introduce an alternative representation of fuzzy measures, called the interaction representation, which sets and extends in a common framework the Shapley value and the interaction index proposed by Murofushi and Soneda.
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 SystemsA fusion approach for managing multi-granularity linguistic term sets in decision making
790 Citations2000Francisco Herrera, Enrique Herrera‐Viedma +1 more
A fusion approach of multi-granularity linguistic information for managing information assessed in different linguistic term sets together with its application in a decision making problem with multiple information sources, assuming that the linguistic performance values given to the alternatives by the different sources are represented in linguistic term set with different granularity and/or semantic.
Information SciencesUncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment
773 Citations2004Zeshui Xu
An approach to multiple attribute group decision making with uncertain linguistic information is developed based on the ULOWA and the ULHA operators and a practical application of the developed approach to the problem of evaluating university faculty for tenure and promotion is given.
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.
Fuzzy Sets and SystemsFuzzy integral in multicriteria decision making
668 Citations1995Michel Grabisch
A synthesis on the use of fuzzy integral as an aggregation operator in multicriteria decision making and compared to those of usual aggregation operators is presented.
Knowledge-Based SystemsInterval-valued hesitant preference relations and their applications to group decision making
532 Citations2012Na Chen, Zeshui Xu +1 more
A new type of fuzzy preference structure, called interval-valued hesitant preference relations, is introduced to describe uncertain evaluation information in group decision making (GDM) processes and is developed in order to consider the differences of opinions between individual decision makers.
Lecture notes in economics and mathematical systemsFuzzy Multiple Attribute Decision Making Methods
514 Citations1992Shu-Jen Chen, Ching-Lai Hwang
A MADM problem is given as where Ai, i, ..., m, are possible courses of action (candidates, alternatives); Xj, j = 1,...,n, are attributes with which alternative performances are measured; xij is the performance score (or rating) of alternative Ai with respect to attribute Xj.
IEEE Transactions on Fuzzy SystemsA new version of 2-tuple fuzzy linguistic representation model for computing with words
494 Citations2006Jin-Hsien Wang, Jongyun Hao
A new (proportional) 2-tuple fuzzy linguistic representation model for computing with words (CW), which is based on the concept of "symbolic proportion," which provides an opportunity to describe the initial linguistic information by members of a "continuous" linguistic scale domain which does not necessarily require the ordered linguistic terms of a linguistic variable being equidistant.
Information FusionInduced uncertain linguistic OWA operators applied to group decision making
445 Citations2004Zeshui Xu
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.
Information SciencesChoquet integrals of weighted intuitionistic fuzzy information
437 Citations2009Zeshui Xu
The Choquet integral is used to propose some intuitionistic fuzzy aggregation operators that not only consider the importance of the elements or their ordered positions, but also can reflect the correlations among the elements and theirordered positions.
RECERCAT (Consorci de Serveis Universitaris de Catalunya)
417 Citations2009José M. Merigó, Anna M. Gil‐Lafuente
The induced generalized ordered weighted averaging (IGOWA) operator is a new aggregation operator that generalizes the OWA operator, including the main characteristics of both the generalized OWA and the induced OWA operators.
Expert Systems with ApplicationsIntuitionistic fuzzy Choquet integral operator for multi-criteria decision making☆
406 Citations2009Chunqiao Tan, Xiaohong Chen
In this paper, an intuitionistic fuzzy Choquet integral operator is proposed for multiple criteria decision making, where interactions phenomena among the decision making criteria are considered.
Fuzzy Sets and SystemsFuzzy multiple attribute decision making: A review and new preference elicitation techniques
402 Citations1996Rita A. Ribeiro
New elicitation techniques to determine attributes importance are proposed, which range from statistical to scaling methods based on linguistic variables, to enable a more versatile elicitation procedure as well as providing crisp preferences.
Applied Soft ComputingFuzzy AHP to determine the relative weights of evaluation criteria and Fuzzy TOPSIS to rank the alternatives
384 Citations2009Fatemeh Torfi, Reza Zanjirani Farahani +1 more
A Fuzzy multi-criteria decision-making approach (FMCDM) to evaluate the alternative options in respect to the user's preference orders and when the performance ratings are vague and imprecise, this FBuzzy MCDM is a preferred solution.
European Journal of Operational ResearchChoice functions and mechanisms for linguistic preference relations
332 Citations2000Francisco Herrera, Enrique Herrera‐Viedma
IEEE Transactions on Fuzzy SystemsCharacterization of the ordered weighted averaging operators
312 Citations1995János Fodor, Jean‐Luc Marichal +1 more
This paper deals with the characterization of two classes of monotonic and neutral (MN) aggregation operators which are stable for positive linear transformations with the same unit, independent zeroes and ordered values.
Expert Systems with ApplicationsA multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS
277 Citations2010Chunqiao Tan
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Information SciencesMethods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making
273 Citations2012Пэйдэ Лю, Fang Jin
Two methods for multiple attribute group decision making problems with intuitionistic uncertain linguistic information have been proposed and an illustrative example is given to demonstrate their practicality and effectiveness.
Fuzzy Sets and SystemsThe maximizing deviation method for group multiple attribute decision making under linguistic environment
253 Citations2007Zhibin Wu, Yihua Chen
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International Journal of Uncertainty Fuzziness and Knowledge-Based SystemsUNCERTAIN LINGUISTIC HYBRID GEOMETRIC MEAN OPERATOR AND ITS APPLICATION TO GROUP DECISION MAKING UNDER UNCERTAIN LINGUISTIC ENVIRONMENT
252 Citations2009Guiwu Wei
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Fuzzy Sets and SystemsType 2 representation and reasoning for CWW
241 Citations2002I.Burhan Türkşen
In the new millennium more and more researchers will attempt to capture Type 2 representation and develop reasoning with Type 2 formulas that reveal the rich information content available in information granules, as well as expose the risk associated with the graded representation of words and computing with words.
European Journal of Operational ResearchAn action learning evaluation procedure for multiple criteria decision making problems
175 Citations1997Noel Bryson, Ayodele Mobolurin
A systematic action learning process that builds confidence as it converges from numeric interval estimates to numeric point estimates is proposed, which facilitates the understanding of key stakeholders, which is imperative for the successful implementation of the subsequent decision.
Applied Mathematical ModellingSome geometric aggregation operators based on interval intuitionistic uncertain linguistic variables and their application to group decision making
149 Citations2012Пэйдэ Лю
An approach to multiple attribute group decision making with interval-valued intuitionistic uncertain linguistic information has been proposed and an illustrative example is given to demonstrate their practicality and effectiveness.
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142 Citations2014Fanyong Meng, Xiaohong Chen +1 more
An approach to linguistic hesitant fuzzy multi-attribute decision analysis is developed and models designed to obtain the optimal fuzzy measures and additive measures on an attribute set and on an ordered set are constructed.
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The preceding chapters introduced the analysis of inventory systems from a comprehensive perspective and indicated different possibilities for incorporating lead time stochasticity into inventory models.
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88 Citations2011Chunqiao Tan, Xiaohong Chen
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