A Collaborative Decision Approach for Internet Public Opinion Emergency with Intuitionistic Fuzzy Value

In multiple attribute decision-making in an intuitionistic fuzzy environment, the decision information is sometimes given by intuitionistic fuzzy soft sets. In order to address intuitionistic fuzzy decision-making problems in a more efficient way, many scholars have produced increasingly better procedures for ranking intuitionistic fuzzy values. In this study, we further investigate the problem of ranking intuitionistic fuzzy values from a geometric point of view, and we produce related applications to decision-making. We present Minkowski score functions of intuitionistic fuzzy values, which are natural generalizations of the expectation score function and other useful score functions in the literature. The rationale for Minkowski score functions lies in the geometric intuition that a better score should be assigned to an intuitionistic fuzzy value farther from the negative ideal intuitionistic fuzzy value. To capture the subjective attitude of decision makers, we further propose the Minkowski weighted score function that incorporates an attitudinal parameter. The Minkowski score function is a special case corresponding to a neutral attitude. Some fundamental properties of Minkowski (weighted) score functions are examined in detail. With the aid of the Minkowski weighted score function and the maximizing deviation method, we design a new algorithm for solving decision-making problems based on intuitionistic fuzzy soft sets. Moreover, two numerical examples regarding risk investment and supplier selection are employed to conduct comparative analyses and to demonstrate the feasibility of the approach proposed in this article.

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Intuitionistic fuzzy value similarity measures for intuitionistic fuzzy sets

Computational and Applied Mathematics ◽

10.1007/s40314-021-01737-7 ◽

2022 ◽

Vol 41 (1) ◽

Author(s):

Zichun Chen ◽

Penghui Liu

Keyword(s):

Fuzzy Sets ◽

Similarity Measures ◽

Intuitionistic Fuzzy Sets ◽

Value Similarity ◽

Intuitionistic Fuzzy ◽

Intuitionistic Fuzzy Value

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Centroid Transformations of Intuitionistic Fuzzy Values Based on Aggregation Operators

Mathematics ◽

10.3390/math6110215 ◽

2018 ◽

Vol 6 (11) ◽

pp. 215 ◽

Cited By ~ 9

Author(s):

Xiaoyan Liu ◽

Hee Kim ◽

Feng Feng ◽

José Alcantud

Keyword(s):

Fuzzy Sets ◽

Membership Function ◽

Intuitionistic Fuzzy Sets ◽

Aggregation Operators ◽

Averaging Operators ◽

Intuitionistic Fuzzy ◽

New Concepts ◽

Practical Progress ◽

Atanassov’S Intuitionistic Fuzzy Sets ◽

Intuitionistic Fuzzy Value

Atanassov’s intuitionistic fuzzy sets extend the notion of fuzzy sets. In addition to Zadeh’s membership function, a non-membership function is also considered. Intuitionistic fuzzy values play a crucial role in both theoretical and practical progress of intuitionistic fuzzy sets. This study introduces and explores various types of centroid transformations of intuitionistic fuzzy values. First, we present some new concepts for intuitionistic fuzzy values, including upper determinations, lower determinations, spectrum triangles, simple intuitionistic fuzzy averaging operators and simply weighted intuitionistic fuzzy averaging operators. With the aid of these notions, we construct centroid transformations, weighted centroid transformations, simple centroid transformations and simply weighted centroid transformations. We provide some basic characterizations regarding various types of centroid transformations, and show their difference using an illustrating example. Finally, we focus on simple centroid transformations and investigate the limit properties of simple centroid transformation sequences. Among other facts, we show that a simple centroid transformation sequence converges to the simple intuitionistic fuzzy average of the lower and upper determinations of the first intuitionistic fuzzy value in the sequence.

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A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs

The Scientific World JOURNAL ◽

10.1155/2014/121245 ◽

2014 ◽

Vol 2014 ◽

pp. 1-6 ◽

Cited By ~ 1

Author(s):

Min Fan ◽

Ping Zou ◽

Shao-Rong Li ◽

Chin-Chia Wu

Keyword(s):

Nash Equilibrium ◽

Fixed Point Theory ◽

Point Theory ◽

Bimatrix Games ◽

Bimatrix Game ◽

Intuitionistic Fuzzy ◽

Fast Approach ◽

Linear Programming Methods ◽

Programming Algorithms ◽

Intuitionistic Fuzzy Value

The aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly, bimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward. Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash equilibrium of IFPBiG. Thirdly, Nash equilibrium of the algorithm was proved by the fixed point theory and the algorithm was simplified by linear programming methods. Finally, an example was solved through Matlab; it showed the validity, applicability, and superiority.

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Contingency Response Decision of Network Public Opinion Emergencies based on Intuitionistic Fuzzy Entropy and Preference Information of Decision Makers

10.21203/rs.3.rs-678764/v1 ◽

2021 ◽

Author(s):

Sha Fu ◽

Ye-zhi Xiao ◽

Hang-jun Zhou

Keyword(s):

Decision Making ◽

Public Opinion ◽

Group Decision Making ◽

Group Decision ◽

Fuzzy Entropy ◽

Preference Information ◽

Intuitionistic Fuzzy ◽

Intuitionistic Fuzzy Entropy ◽

Fuzzy Group Decision Making ◽

Network Public Opinion

Abstract 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. Thirdly, a scheme preference model and an attribute weight optimization model are established to determine the ranking method of intuitionistic fuzzy interval values. Then, an improved intuitionistic fuzzy number distance measure 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, which improves the efficiency of emergency treatment, 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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