27 research outputs found
A probabilistic linguistic thermodynamic method based on the water-filling algorithm and regret theory for emergency decision making
Since thermodynamics can describe the energy of matter and its
form of storage or transformation in the system, it is introduced
to resolve the uncertain decision-making problems. The paper
proposes the thermodynamic decision-making method which
considers both the quantity and quality of the probabilistic linguistic
decision information. The analogies for thermodynamical
indicators: energy, exergy and entropy are developed under the
probabilistic linguistic circumstance. The probabilistic linguistic
thermodynamic method combines the regret theory which captures
decision makers’ regret-aversion and the objective weight of
criterion obtained by the water-filling algorithm. The proposed
method is applied to select the optimal solution to respond to
the floods in Chongqing, China. The self-comparison is conducted
to verify the effectiveness of the objective weight obtained by
the water-filling algorithm and regret theory in the probabilistic
linguistic thermodynamic method. The reliability and feasibility of
the proposed method are verified by comparative analysis with
other decision-making methods by some simulation experiments
and non-parametric tests
Heterogeneous group decision making with thermodynamical parameters
There often exist different types of information due to the subjective
and objective criteria in practical decision-making problems,
thus it is necessary to develop some efficient frameworks to
deal with the decision-making problems with heterogeneous
information. The paper proposes a framework for group decisionmaking
problems with heterogeneous information with thermodynamical
parameters consisting of three parts to achieving this
goal. The first part builds the rectifications of criteria weights
according to decision makers’ confidence in evaluations. The
second part adopts thermodynamical parameters to measure the
numerical values and the data distribution of heterogeneous
information to characterize the heterogeneous information fully.
The last part applies the TODIM (an acronym in Portuguese for
Interactive and Multicriteria Decision Making) to aggregate the
decision-making results based on the characterized heterogeneous
information without transforming it into a unified form. By
depicting decision makers’ different sensitive attitudes towards
uncertainty by several mathematical expressions, experiments are
performed to assess the sensitive attitudes’ impacts on decisionmaking
results with the proposed framework. Finally, a case study
on the selection of a green supplier under the low-carbon economy
is provided to illustrate the flexibility and feasibility of the
proposed framework
An Extended TODIM Method for Group Decision Making with the Interval Intuitionistic Fuzzy Sets
For a multiple-attribute group decision-making problem with interval intuitionistic fuzzy sets, a method based on extended TODIM is proposed. First, the concepts of interval intuitionistic fuzzy set and its algorithms are defined, and then the entropy method to determine the weights is put forward. Then, based on the Hamming distance and the Euclidean distance of the interval intuitionistic fuzzy set, both of which have been defined, function mapping is given for the attribute. Finally, to solve multiple-attribute group decision-making problems using interval intuitionistic fuzzy sets, a method based on extended TODIM is put forward, and a case that deals with the site selection of airport terminals is given to prove the method
Dynamic reference point method with probabilistic linguistic information based on the regret theory for public health emergency decision-making
Group emergency decision-making is an uncertain and dynamic
process, in which the decision makers may be bounded rational
and have a risk appetite. To depict the vague qualitative assessments, the probabilistic linguistic term sets are employed to
express the perceptions of decision makers. First, considering the
regret-aversion of the decision makers’ psychological characteristic, the value function and the regret-rejoice function in the regret
theory are modified to adapt the probabilistic linguistic information. Second, the definition and aggregation operators of the
probabilistic linguistic time variable are proposed to describe and
aggregate the dynamic decision information. Third, the probabilistic linguistic models based on the dynamic reference point
method and the regret theory are studied to maximise the
expectation-levels of alternatives at the relative time point. The
proposed method is applied to select the optimal response strategy for the outbreak of COVID-19 in China. Finally, the comparative analysis is designed to verify the applicability and
reasonability of the proposed method
Wasserstein distance-based probabilistic linguistic TODIM method with application to the evaluation of sustainable rural tourism potential
The evaluation of sustainable rural tourism potential is a key work
in sustainable rural tourism development. Due to the complexity
of the rural tourism development situation and the limited cognition of people, most of the assessment problems for sustainable
rural tourism potential are highly uncertain, which brings challenges to the characterisation and measurement of evaluation
information. Besides, decision-makers (DMs) usually do not exhibit
complete rationality in the practical evaluation process. To tackle
such problems, this paper proposes a new behaviour multi-attribute group decision-making (MAGDM) method with probabilistic
linguistic terms sets (PLTSs) by integrating Wasserstein distance
measure into TODIM (an acronym in Portuguese of interactive
and multicriteria decision making) method. Firstly, a new
Wasserstein-based distance measure with PLTSs is defined, and
some properties of the proposed distance are developed.
Secondly, based on the correlation coefficient among attributes
and standard deviation of each attribute, an attribute weight
determination method (called PL-CRITIC method) is proposed.
Subsequently, a Wasserstein distance-based probabilistic linguistic
TODIM method is developed. Finally, the proposed method is
applied to the evaluation of sustainable rural tourism potential,
along with sensitivity and comparative analyses, as a means of
illustrating the effectiveness and advantages of the new method
Probabilistic hesitant fuzzy multiple attribute decisionmaking based on regret theory for the evaluation of venture capital projects
The selection of venture capital investment projects is one of the
most important decision-making activities for venture capitalists.
Due to the complexity of investment market and the limited cognition
of people, most of the venture capital investment decision
problems are highly uncertain and the venture capitalists are
often bounded rational under uncertainty. To address such problems,
this article presents an approach based on regret theory to
probabilistic hesitant fuzzy multiple attribute decision-making.
Firstly, when the information on the occurrence probabilities of
all the elements in the probabilistic hesitant fuzzy element
(P.H.F.E.) is unknown or partially known, two different mathematical
programming models based on water-filling theory and the
maximum entropy principle are provided to handle these complex
situations. Secondly, to capture the psychological behaviours
of venture capitalists, the regret theory is utilised to solve the
problem of selection of venture capital investment projects.
Finally, comparative analysis with the existing approaches is conducted
to demonstrate the feasibility and applicability of the proposed
method
Single-valued neutrosophic TODIM method based on cumulative prospect theory for multi-attribute group decision making and its application to medical emergency management evaluation
In recent years, emergent public health events happen from time
to time, which puts forward new requirements for the establishment of a perfect medical emergency system. It is a new direction
to evaluate the effectiveness of medical emergency systems from
the perspective of multi-attribute group decision making
(MAGDM) issues. In such article, we tend to resolve the MAGDM
issues under single-valued neutrosophic sets (SVNSs) with TODIM
method based on cumulative prospect theory (CPT). And the single-valued neutrosophic TODIM method based on CPT (CPT-SVNTODIM) for MAGDM issues are developed. This new method not
only inherits advantages of classical TODIM method, but also has
further improvement in some aspects. For example, we set up the
entropy to calculate attribute weights for ensuring the more
objective decision-making process. Furthermore, it is also an
extension of MAGDM method to utilize single-valued neutrosophic numbers (SVNNs) to depict decision makers’ ideas. In addition, we introduce the application of CPT-SVN-TODIM method in
the assessment of medical emergency management. And finally,
the reliability of CPT-SVN-TODIM method is confirmed by comparing with some other methods
Integrated Frameworks for Effective Multi-criteria Decision Making in Reliability Centred Maintenance of Industrial Machines
No abstract availabl
Z-number-valued rule-based decision trees
As a novel architecture of a fuzzy decision tree constructed on fuzzy rules, the fuzzy rule-based
decision tree (FRDT) achieved better performance in terms of both classification accuracy and the
size of the resulted decision tree than other classical decision trees such as C4.5, LADtree, BFtree,
SimpleCart and NBTree. The concept of Z-number extends the classical fuzzy number to model
both uncertain and partial reliable information. Z-numbers have significant potential in rule-based
systems due to their strong representation capability. This paper designs a Z-number-valued rulebased
decision tree (ZRDT) and provides the learning algorithm. Firstly, the information gain is
used to replace the fuzzy confidence in FRDT to select features in each rule. Additionally, we use
the negative samples to generate the second fuzzy numbers that adjust the first fuzzy numbers
and improve the model’s fit to the training data. The proposed ZRDT is compared with the FRDT
with three different parameter values and two classical decision trees, PUBLIC and C4.5, and a
decision tree ensemble method, AdaBoost.NC, in terms of classification effect and size of decision
trees. Based on statistical tests, the proposed ZRDT has the highest classification performance
with the smallest size for the produced decision tree.The project B-TIC-590-UGR20Programa Operativo FEDER 2014-2020Regional Ministry of EconomyKnowledgeEnterprise and Universities (CECEU) of AndalusiaChina Scholarship Council (CSC)
(202106070037)Project PID2019-103880RB-I00MCIN/AEI/10.13039/501100011033Andalusian
government through project P20_0067