Correction to: Some Aggregation Operators for Linguistic Intuitionistic Fuzzy Set and its Application to Group Decision-Making Process Using the Set Pair Analysis
Arabian Journal for Science and EngineeringPublished 20 March 2018
Harish Garg, Kamal Kumar
Citations59
SJR quartileQ1
SJR score0.52
SNIP1.00
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 original version of this article unfortunately contained a mistake and has been edited for brevity.
Abstract
The original version of this article unfortunately contained a mistake.
Keywords
Computer ScienceDecision SciencesMathematics
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.
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.
International Journal of General SystemsSome geometric aggregation operators based on intuitionistic fuzzy sets
2,345 Citations2006Zeshui Xu, Ronald R. Yager
This paper develops some new geometric aggregation operators, such as the intuitionistic fuzzy weighted geometric (IFWG) operator, the intuitionists fuzzy ordered weighted geometric(IFOWG)operator, and the intuitionism fuzzy hybrid geometric (ifHG) operators, which extend the WG and OWG operators to accommodate the environment in which the given arguments are intuitionistic fuzz sets.
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.
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.
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.
International Journal of Intelligent SystemsAn overview of methods for determining OWA weights
774 Citations2005Zeshui Xu
A novel practical method is developed for obtaining the OWA weights, which can relieve the influence of unfair arguments on the decision results by weighting these arguments with small values.
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.
International Journal of Intelligent SystemsA New Generalized Pythagorean Fuzzy Information Aggregation Using Einstein Operations and Its Application to Decision Making
652 Citations2016Harish Garg
These weighted aggregated operators are applied to decision‐making problems in which experts provide their preferences in the Pythagorean fuzzy environment to show the validity, practicality, and effectiveness of the new approach.
OmegaRanking irregularities when evaluating alternatives by using some ELECTRE methods
602 Citations2006Xiaoting Wang, Evangelos Triantaphyllou
The results of these examinations show that the rates of the three types of ranking irregularities were rather significant in both the simulated decision problems and the real-life cases studied in this paper.
Arabian Journal for Science and EngineeringSome Picture Fuzzy Aggregation Operators and Their Applications to Multicriteria Decision-Making
393 Citations2017Harish Garg
By considering all these degrees, some aggregation operators, namely picture fuzzy weighted average, picture fuzzy ordered weightedAverage, and picture fuzzy hybrid average aggregation operators have been proposed along with their desirable properties and a decision-making approach based on these operators has been presented.
Computers & Industrial EngineeringGeneralized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making
258 Citations2016Harish Garg
A new class of generalized geometric interaction averaging aggregation operators using Einstein norms and conorms are developed, which includes the weighted, ordered weighted and hybrid weighted averaging operators.
Computational and Applied MathematicsTOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment
257 Citations2016Kamal Kumar, Harish Garg
An extension of technique for order of preference by similarity to ideal solution method is developed by combining the proposed connection number for IVIFSs and hence finding the best alternative(s) using relative degree of closeness coefficient.
On Geometric Aggregation over Interval-Valued Intuitionistic Fuzzy Information
239 Citations2007Zeshui Xu, Jian Chen
This work develops some interval-valued intuitionistic fuzzy geometric operators, and applies the developed operators to solve a multiple attribute decision-making problem involving the prioritization of a set of information technology improvement projects.
International Journal of Computational Intelligence SystemsAn approach to multiple attribute group decision making based on linguistic intuitionistic fuzzy numbers
237 Citations2015Zichun Chen, Penghui Liu +1 more
The linguistic score index and linguistic accuracy index of the LIFN are introduced in order to process the multiple attribute decision making (MADM) with LIFNs, and an approach to handle MADM under LIFNs environment is proposed.
Information FusionInformation fusion for intuitionistic fuzzy decision making: An overview
213 Citations2015Zeshui Xu, Na Zhao
An overview on the existing intuitionism fuzzy decision making theories and methods from the perspective of information fusion, involving the determination of attribute weights, the aggregation of intuitionistic fuzzy information and the ranking of alternatives is presented.
Engineering Applications of Artificial IntelligenceNovel intuitionistic fuzzy decision making method based on an improved operation laws and its application
209 Citations2017Harish Garg
In this paper, some series of averaging aggregation operators have been presented under the intuitionistic fuzzy environment by considering the degrees of hesitation between the membership functions and new operational laws have been proposed for overcoming these shortcoming.
Applied IntelligenceConnection number of set pair analysis based TOPSIS method on intuitionistic fuzzy sets and their application to decision making
173 Citations2017Kamal Kumar, Harish Garg
An extension of TOPSIS method is further developed, based on the proposed connection number of SPA, to calculate relative-closeness of sets of alternatives which are used to generate the ranking order of the alternatives.
Journal of Applied MathematicsLinguistic Intuitionistic Fuzzy Sets and Application in MAGDM
146 Citations2014Huimin Zhang
To better deal with imprecise and uncertain information in decision making, the definition of linguistic intuitionistic fuzzy sets (LIFSs) is introduced, which is characterized by a linguistic membership degree and a linguistic nonmembership degree.
Applied IntelligenceGeneralized and group-based generalized intuitionistic fuzzy soft sets with applications in decision-making
142 Citations2017Harish Garg, Rishu Arora
An attempt has been made to describe the concept of generalized IFSS (GIFSS), as well as the group-based generalized intuitionistic fuzzy soft set (GGIFSS) in which the evaluation of the object is done by the group of experts rather than a single expert.
SpringerPlusSome series of intuitionistic fuzzy interactive averaging aggregation operators
116 Citations2016Harish Garg
Based on new operation laws, some new averaging aggregation operators namely, intuitionistic fuzzy Hamacher interactive weighted averaging, ordered weighted averaging and hybrid weighted averaging operators, labeled as IFHIWA, IFHIOWA and IFHIHWA respectively has been proposed.
International Journal for Uncertainty QuantificationNOVEL SINGLE-VALUED NEUTROSOPHIC AGGREGATED OPERATORS UNDER FRANK NORM OPERATION AND ITS APPLICATION TO DECISION-MAKING PROCESS
108 Citations2016Nancy Nancy, Harish Garg
Some operations of SVNNs such as sum, product, and scalar multiplication are defined under Frank norm operations and, based on it, some averaging and geometric aggregation operators have been developed and a decision-making method based on the proposed operators is established.
Applied IntelligenceA nonlinear-programming methodology for multi-attribute decision-making problem with interval-valued intuitionistic fuzzy soft sets information
101 Citations2017Harish Garg, Rishu Arora
An attempt has been made to present a nonlinear-programming (NP) model based on the technique for order preference by similarity to ideal solution (TOPSIS), to solve multi-attribute decision-making problems.
International Journal of Machine Learning and CyberneticsA linguistic intuitionistic multi-criteria decision-making method based on the Frank Heronian mean operator and its application in evaluating coal mine safety
96 Citations2017Hong‐gang Peng, Jian‐qiang Wang +1 more
This paper focuses on developing an innovative multi-criteria decision-making (MCDM) method to address coal mine safety evaluation problems by developing the linguistic intuitionistic fuzzy Frank improved weighted Heronian mean (LIFFIWHM).
International Journal of Machine Learning and CyberneticsAn approach to interval-valued intuitionistic stochastic multi-criteria decision-making using set pair analysis
63 Citations2016Yong-xi Cao, Huan Zhou +1 more
This paper defines a new similarity measure between interval-valued intuitionistic fuzzy numbers and establishes a mathematical programming model based on the technique for order preference by similarity to an ideal solution method and the maximizing deviation method in order to determine criterion weights.
Lecture notes in computer scienceAn Approach Based on Similarity Measure to Multiple Attribute Decision Making with Trapezoid Fuzzy Linguistic Variables
54 Citations2005Zeshui Xu
Based on the similarity measure and the ideal point of attribute values, an approach to ranking the decision alternatives in multiple attribute decision making with trapezoid fuzzy linguistic variables is developed.
IEEE Transactions on Emerging Topics in Computational IntelligenceA Robust Ranking Method for Intuitionistic Multiplicative Sets Under Crisp, Interval Environments and Its Applications
36 Citations2017Harish Garg
A new generalized improved score function for the intuitionistic multiplicative set (IMS) and by integrating the idea of hesitation degree, a score function has been proposed for interval-valued as well as for crisp numbers.
Journal of Software EngineeringTriangular Fuzzy Number Multi-attribute Decision-making Method Based on Set-pair Analysis
28 Citations2016Sha Fu, Hangjun Zhou
Scientia IranicaSome improved interactive aggregation operators under interval-valued intuitionistic fuzzy environment and its application to decision making process
28 Citations2017Harish Garg, Nikunj Agarwal +1 more
An approach to deal with multi-criteria decisionmaking (MCDM) problem is developed based on an improved aggregator operator taking into account the effect of an unknown degree in an interval-valued intuitionistic fuzzysets (IVIFS) environment.
Fuzzy Multi-attribute Decision Making Methods Based on Improved Set Pair Analysis
23 Citations2013Zhenhua Xie, Feng Zhang +2 more
Simulation results show that the proposed comprehensive ideal scheme decision method based on set pair analysis is an effective tool to handle uncertain information and solve the fuzzy multiple attribute question.
The Open Cybernetics & Systemics JournalA New Reputation Model for P2P Network Based on Set Pair Analysis
7 Citations2015He Chaokai, Meng Wu
A novel reputation aggregation scheme, detail of transaction could be considered, based on set pair analysis (SPA), and the empirical evaluation results reveal that the proposed approach is scalable, accurate, robust, and fault-tolerant.
Applied Mechanics and MaterialsSet Pair Analysis Method of Containing Target Constraint Mixed Interval Multi-Attribute Decision-Making
6 Citations2012Wen Sheng Lü, Bin Zhang