1,859 research outputs found
Hesitant Fuzzy Linguistic Analytic Hierarchical Process With Prioritization, Consistency Checking, and Inconsistency Repairing
Analytic hierarchy process (AHP), as one of the most important methods to tackle multiple
criteria decision-making problems, has achieved much success over the past several decades. Given that
linguistic expressions are much closer than numerical values or single linguistic terms to a human way of
thinking and cognition, this paper investigates the AHP with comparative linguistic expressions. After providing
the snapshot of classical AHP and its fuzzy extensions, we propose the framework of hesitant
fuzzy linguistic AHP, which shows how to yield a decision for qualitative decision-making problems with
complex linguistic expressions. First, the comparative linguistic expressions over criteria or alternatives
are transformed into hesitant fuzzy linguistic elements and then the hesitant fuzzy linguistic preference
relations (HFLPRs) are constructed. Considering that HFLPRs may be inconsistent, we conduct consistency
checking and improving processes after obtaining priorities from the HFLPRs based on a linear programming
method. Regarding the consistency-improving process, we develop a new way to establish a perfectly
consistent HFLPR. The procedure of the hesitant fuzzy linguistic AHP is given in stepwise. Finally,
a numerical example concerning the used-car management in a lemon market is given to illustrate the
ef ciency of the proposed hesitant fuzzy linguistic AHP method.This work was supported in part by the National Natural Science Foundation of China under Grant 71771156, in part by the 2019 Sichuan
Planning Project of Social Science under Grant SC18A007, in part by the 2019 Soft Science Project of Sichuan Science and Technology
Department under Grant 2019JDR0141, and in part by the Project of Innovation at Sichuan University under Grant 2018hhs-43
Risk assessment in project management by a graphtheory- based group decision making method with comprehensive linguistic preference information
Risk assessment is a vital part in project management. It is possible
that experts may provide comprehensive linguistic preference
information in distinct forms with respect to different
aspects of the risk assessment problem in investment management.
It is a challenge to model and deal with comprehensive linguistic
preference assessments in multiple forms given by experts.
In this regard, this paper defines the generalised probabilistic linguistic
preference relation (GPLPR) to represent different forms of
linguistic preference information in a unified structure. Then, a
probability cutting method is proposed to simplify the representation
of a GPLPR. Afterwards, a graph-theory-based method is
developed to improve the consistency degree of a GPLPR. A
group decision making method with GPLPRs is then proposed to
carry on the risk assessment in project management. Discussions
regarding the comparative analysis and managerial insights
are given
Risk assessment in project management by a graph-theory-based group decision making method with comprehensive linguistic preference information
The work was supported by the National Natural Science Foundation of China (71971145, 71771156, 72171158), the Andalusian Government under Project P20-00673, and also by the Spanish State Research Agency under Project PID2019-103880RB-I00/AEI/10.13039/501100011033.Risk assessment is a vital part in project management. It is possible
that experts may provide comprehensive linguistic preference
information in distinct forms with respect to different
aspects of the risk assessment problem in investment management.
It is a challenge to model and deal with comprehensive linguistic
preference assessments in multiple forms given by experts.
In this regard, this paper defines the generalised probabilistic linguistic
preference relation (GPLPR) to represent different forms of
linguistic preference information in a unified structure. Then, a
probability cutting method is proposed to simplify the representation
of a GPLPR. Afterwards, a graph-theory-based method is
developed to improve the consistency degree of a GPLPR. A
group decision making method with GPLPRs is then proposed to
carry on the risk assessment in project management. Discussions
regarding the comparative analysis and managerial insights
are given.National Natural Science Foundation of China (NSFC) 71971145
71771156
72171158Andalusian Government P20-00673Spanish Government PID2019-103880RB-I00/AEI/10.13039/50110001103
Consistency and Consensus Driven for Hesitant Fuzzy Linguistic Decision Making with Pairwise Comparisons
Hesitant fuzzy linguistic preference relation (HFLPR) is of interest because
it provides an efficient way for opinion expression under uncertainty. For
enhancing the theory of decision making with HFLPR, the paper introduces an
algorithm for group decision making with HFLPRs based on the acceptable
consistency and consensus measurements, which involves (1) defining a hesitant
fuzzy linguistic geometric consistency index (HFLGCI) and proposing a procedure
for consistency checking and inconsistency improving for HFLPR; (2) measuring
the group consensus based on the similarity between the original individual
HFLPRs and the overall perfect HFLPR, then establishing a procedure for
consensus ensuring including the determination of decision-makers weights. The
convergence and monotonicity of the proposed two procedures have been proved.
Some experiments are furtherly performed to investigate the critical values of
the defined HFLGCI, and comparative analyses are conducted to show the
effectiveness of the proposed algorithm. A case concerning the performance
evaluation of venture capital guiding funds is given to illustrate the
availability of the proposed algorithm. As an application of our work, an
online decision-making portal is finally provided for decision-makers to
utilize the proposed algorithms to solve decision-making problems.Comment: Pulished by Expert Systems with Applications (ISSN: 0957-4174
On the priority vector associated with a fuzzy preference relation and a multiplicative preference relation.
We propose two straightforward methods for deriving the priority vector associated with a fuzzy preference relation. Then, using transformations between multiplicative preference relations and fuzzy preference relations, we study the relationships between the priority vectors associated with these two types of preference relations.pairwise comparison matrix; fuzzy preference relation; priority vector
An overview on managing additive consistency of reciprocal preference relations for consistency-driven decision making and Fusion: Taxonomy and future directions
The file attached to this record is the author's final peer reviewed version. The Publisher's final version can be found by following the DOI link.The reciprocal preference relation (RPR) is a powerful tool to represent decision makersâ preferences in decision making problems. In recent years, various types of RPRs have been reported and investigated, some of them being the âclassicalâ RPRs, interval-valued RPRs and hesitant RPRs. Additive consistency is one of the most commonly used property to measure the consistency of RPRs, with many methods developed to manage additive consistency of RPRs. To provide a clear perspective on additive consistency issues of RPRs, this paper reviews the consistency measurements of the different types of RPRs. Then, consistency-driven decision making and information fusion methods are also reviewed and classified into four main types: consistency improving methods; consistency-based methods to manage incomplete RPRs; consistency control in consensus decision making methods; and consistency-driven linguistic decision making methods. Finally, with respect to insights gained from prior researches, further directions for the research are proposed
Consistency improvement with a feedback recommendation in personalized linguistic group decision making
The file attached to this record is the author's final peer reviewed version. The Publisher's final version can be found by following the DOI link.Consistency is an important issue in linguistic decision making with various consistency measures and consistency improving methods available in the literature. However, existing linguistic consistency studies omit the fact that words mean different things for different people, that is, decision makers' personalized individual semantics (PISs) over their expressed linguistic preferences are ignored. Therefore, the aim of this article is to propose a novel consistency improving approach based on PISs in linguistic group decision making. The proposed approach combines the characteristics of personalized representation and integrates the PIS-based model in measuring and improving the consistency of linguistic preference relations. A detailed numerical and comparative analysis to support the feasibility of the proposed approach is provided
Integer programming modeling on group decision making with incomplete hesitant fuzzy linguistic preference relations
© 2013 IEEE. Complementing missing information and priority vector are of significance important aspects in group decision making (GDM) with incomplete hesitant fuzzy linguistic preference relations (HFLPRs). In this paper, an integer programming model is developed based on additive consistency to estimate missing values of incomplete HFLPRs by using additive consistency. Once the missing values are complemented, a mixed 0-1 programming model is established to derive the priority vectors from complete HFLPRs, in which the underlying idea of the mixed 0-1 programming model is the probability sampling in statistics and minimum deviation between the priority vector and HFLPR. In addition, we also propose a new GDM approach for incomplete HFLPRs by integrating the integer programming model and the mixed 0-1 programming model. Finally, two case studies and comparative analysis detail the application of the proposed models
An Overview on Fuzzy Modelling of Complex Linguistic Preferences in Decision Making
This work is partially supported by the Spanish National research project TIN2015-66524-P, Spanish Ministry of Economy and Finance Postdoctoral Training (FPDI-2013-18193) and ERDF.Decision makers involved in complex decision making problems usually provide information about their preferences
by eliciting their knowledge with different assessments. Usually, the complexity of these decision problems implies
uncertainty that in many occasions has been successfully modelled by means of linguistic information, mainly based
on fuzzy based linguistic approaches. However, classically these approaches just allow the elicitation of simple
assessments composed by either one label or a modifier with a label. Nevertheless, the necessity of more complex
linguistic expressions for eliciting decision makersâ knowledge has led to some extensions of classical approaches
that allow the construction of expressions and elicitation of preferences in a closer way to human beings cognitive
process. This paper provides an overview of the broadest fuzzy linguistic approaches for modelling complex linguistic
preferences together some challenges that future proposals should achieve to improve complex linguistic modelling
in decision making.Spanish National research project
TIN2015-66524-PSpanish Ministry of Economy and Finance Postdoctoral Training
FPDI-2013-18193European Union (EU
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