A multiple attribute decision making three-way model for intuitionistic fuzzy numbers

Лю, Пэйдэ; Wang, Yumei; Jia, Fan; Fujita, Hamido

doi:10.1016/j.ijar.2019.12.020

Cited by 127 publications

(15 citation statements)

References 45 publications

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“… Motivated by the concept of weak bisimulations [ 17 ], the BGFVPRS models can be generalized and some related important properties about the models may be got. Learning from many popular three-way decision-making methods [ 11 , 19 , 31 , 52 ], we will further modify our decision-making method and apply it to more complex environments such as the IF [ 2 ] environment. The granular computing is an important concept.…”

Section: Discussionmentioning

confidence: 99%

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Generalized fuzzy variable precision rough sets based on bisimulations and the corresponding decision-making

Zhang

Zhu

2022

Int. J. Mach. Learn. & Cyber.

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Recently, the classical rough set has been extended in many ways. However, some of them are based on binary relations which only excavate “one step” information to distinguish objects. The “one step” in the binary relation means that the ordered pair of the starting and end points of the step belongs to the relation. Faced with some complex data sets, the “one step” information may be not feasible. Motivated by the notion of bisimulation in computer science, three types of bisimulation-based generalized fuzzy variable precision rough set (BGFVPRS) models are constructed. Different from many existed rough set models which are based on binary relations, the BGFVPRS models can distinguish objects by excavating the “multi-step” information of underlying relations. The related properties and relationships of BGFVPRS models are investigated. The uncertainty measure of BGFVPRS models and the reduction of fuzzy bisimulations are also discussed. Furthermore, learning from the PROMETHEE II method and combining it with our presented BGFVPRS models, a novel multiple-attribute decision-making method is provided. This method can effectively deal with complex problems including attribute data and relational data. The flexibility and effectiveness of our decision-making method are illustrated by comparative analysis and sensitivity analysis in the Zachary karate club network.

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Section: Discussionmentioning

confidence: 99%

“…It consists of two parts: obtaining decision information; gathering decision information in a certain way, and ranking the alternatives and selecting the best alternative. In [ 3 , 19 , 31 , 33 , 34 , 45 ], many MADM methods are provided. The outranking approaches are a widely used class of MADM methods.…”

Section: Introductionmentioning

confidence: 99%

Generalized fuzzy variable precision rough sets based on bisimulations and the corresponding decision-making

Zhang

Zhu

2022

Int. J. Mach. Learn. & Cyber.

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“…In addition, Nguyen 25 extended the knowledge measure for the IFSs, and introduced a new interval-valued knowledge measure for the IVIFSs. Liu et al 26 proposed a new three-way decision model with IFNs. Muhammad Akram et al 27 constructed a new decision-making hybrid model with intuitionistic fuzzy N -soft rough sets.…”

Section: Introductionmentioning

confidence: 99%

Contingency response decision of network public opinion emergencies based on intuitionistic fuzzy entropy and preference information of decision makers

Sha

Xiao

Zhou

2022

Sci Rep

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A multi-attribute group decision-making (MAGDM) method based on intuitionistic fuzzy preference information is proposed for the multi-attribute intuitionistic fuzzy group decision-making problem where the decision-makers weight and attribute weight are completely unknown and the decision-maker has preference information for the scheme. Firstly, an intuitionistic fuzzy interval judgment matrix is established to describe the original data of the key decision indicators for multiple network public opinion emergencies that erupt simultaneously. Secondly, the attribute weights are determined based on the improved intuitionistic fuzzy entropy construction method, and the expert weights are determined by using objective decision information, taking into account the intuitionistic fuzzy entropy of decision matrix. MAGDM can not only synthesize experts' professional experience in different aspects, but also avoid experts' decision-making errors caused by insufficient domain knowledge. It is necessary to continuously adjust the expert weight based on decision-making information to make the comprehensive decision-making information more accurate. Thirdly, a scheme preference model and an attribute weight optimization model are established to determine the ranking method of intuitionistic fuzzy interval values. Then, a modified distance measure of intuitionistic fuzzy sets (IFSs) is introduced to make the evaluation result more accurate and reasonable when it comes to solving the deviation between the evaluation value and ideal solution of each scheme. Finally, the effectiveness and practicability of the proposed decision-making method are verified by an example of emergency crisis severity, It assists decision makers in selecting and implementing the optimal emergency response plan in a timely and efficient manner, which improves the emergency treatment efficiency of network public opinion crisis, helps emergency departments to better deal with the network public opinion crisis, improves the ability of public opinion guidance and control, and provides a new method and idea for multi-attribute intuitionistic fuzzy group decision-making problem.

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“…When it is not sure whether the value belongs to membership degree or non-membership degree, it is considered hesitancy degree, which gives more scope to represent the uncertainty. Relying on the advantages on indicating vague information, the intuitionistic fuzzy sets has been applied on many fields widely by scholars at home and abroad [11]. Wang et al [12] proposed an new reasoning method, which is based on the intuitionistic fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

Decision making under measure-based granular uncertainty with intuitionistic fuzzy sets

Xue

Deng

2021

Appl Intell

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Yager has proposed the decision making under measure-based granular uncertainty, which can make decision with the aid of Choquet integral, measure and representative payoffs. The decision making under measure-based granular uncertainty is an effective tool to deal with uncertain issues. The intuitionistic fuzzy environment is the more real environment. Since the decision making under measure-based granular uncertainty is not based on intuitionistic fuzzy environment, it cannot effectively solve the decision issues in the intuitionistic fuzzy environment. Then, when the issues of decision making are under intuitionistic fuzzy environment, what is the decision making under measure-based granular uncertainty with intuitionistic fuzzy sets is still an open issue. To deal with this kind of issues, this paper proposes the decision making under measure-based granular uncertainty with intuitionistic fuzzy sets. The decision making under measure-based granular uncertainty with intuitionistic fuzzy sets can effectively solve the decision making issues in the intuitionistic fuzzy environment, in other words, it can extend the decision making under measure-based granular uncertainty to the intuitionistic fuzzy environment. Numerical examples are applied to verify the validity of the decision making under measure-based granular uncertainty with intuitionistic fuzzy sets. The experimental results demonstrate that the decision making under measure-based granular uncertainty with intuitionistic fuzzy sets can represent the objects successfully and make decision effectively. In addition, a practical application of applied intelligence is used to compare the performance between the proposed model and the decision making under measure-based granular uncertainty. The experimental results show that the proposed model can solve some decision problems that the decision making under measure-based granular uncertainty cannot solve.

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A multiple attribute decision making three-way model for intuitionistic fuzzy numbers

Cited by 127 publications

References 45 publications

Generalized fuzzy variable precision rough sets based on bisimulations and the corresponding decision-making

Generalized fuzzy variable precision rough sets based on bisimulations and the corresponding decision-making

Contingency response decision of network public opinion emergencies based on intuitionistic fuzzy entropy and preference information of decision makers

Decision making under measure-based granular uncertainty with intuitionistic fuzzy sets

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