Hesitant Triangular Fuzzy Information Research Articles

Extended ExpTODIM technique based on GRA for capability evaluation of real estate general contractors with hesitant triangular fuzzy information

Extended ExpTODIM technique based on GRA for capability evaluation of real estate general contractors with hesitant triangular fuzzy information

Research on the economic collaborative development evaluation in the Beijing-Tianjin-Hebei region based on hesitant triangular fuzzy information

Beijing, Tianjin and Hebei are located in the Bohai Rim region of Northeast Asia, China. It is the region with the largest economic scale and strongest economic vitality in northern China. Due to historical development and administrative division, the economic strength of Beijing and Tianjin is strong, while the economic strength of Hebei Province is weak. The economic development of the Beijing-Tianjin-Hebei region is severely uneven. The “Beijing-Tianjin-Hebei Coordinated Development Strategy” is proposed and elevated to a national strategy in this context, aiming to explore the path of coordinated economic development in the Beijing-Tianjin-Hebei region, promote economic cooperation, balance economic differences, and enhance the overall economic strength of the Beijing Tianjin Hebei region through national leadership. The economic collaborative development evaluation in the Beijing-Tianjin-Hebei region is a classical multiple attribute decision making (MADM) problems. Recently, the TODIM and Evaluation based on Distance from Average Solution (EDAS) method has been used to cope with MADM issues. The hesitant triangular fuzzy sets (HTFSs) are used as a tool for characterizing uncertain information during the economic collaborative development evaluation in the Beijing-Tianjin-Hebei region. In this paper, the hesitant triangular fuzzy TODIM-EDAS (HTF-TODIM-EDAS) method is built to solve the MADM under HTFSs. In the end, a numerical case study for economic collaborative development evaluation in the Beijing-Tianjin-Hebei region is given to validate the proposed method. The main contributions of this paper are summarized: (1) the HTF-TODIM-EDAS method is proposed under HTFSs. (2) The MADM method is designed based on the information entropy and HTF-TODIM-EDAS method under HTFSs. (3) A numerical case study for economic collaborative development evaluation in the Beijing-Tianjin-Hebei region is given to validate the proposed method. (4) A comparison between proposed method and existing methods is carried out to check its effectiveness.

Extended group decision making method for quality evaluation of mental health education of college students with hesitant triangular fuzzy information

Mental health education (MHE) is an indispensable and fundamental content for schools to cultivate high-quality, high-standard, and high-quality talents, which has attracted sufficient attention and widespread attention in the educational community. Due to the impact of various factors such as society, family, and oneself, the overall psychological quality of Chinese college students is poor, their thinking is relatively childish, they cannot calmly face new problems and situations in life, and they feel vague and confused about life, ideals, and goals Confusion and other psychological barriers are becoming more and more common. If effective psychological crisis intervention is not available, it will seriously affect their learning and personality development, and is not conducive to talent growth. In recent years, Huaibei Vocational and Technical College has placed psychological quality education at the top of its list, providing good psychological quality training for college students, improving their psychological endurance, eliminating negative attitudes and psychological barriers, and promoting their mental health and sustainable development. The quality evaluation of MHE of college students is a classical multiple attribute decision making (MADM) problems. Recently, the TODIM and VIKOR method has been used to cope with MAGDM issues. The hesitant triangular fuzzy sets (HTFSs) are used as a tool for characterizing uncertain information during the quality evaluation of MHE of college students. In this manuscript, the hesitant triangular fuzzy TODIM-VIKOR (HTF-TODIM-VIKOR) method is built to solve the MADM under HTFSs. In the end, a numerical case study for quality evaluation of MHE of college students is given to validate the proposed method.

Pythagorean probabilistic hesitant triangular fuzzy aggregation operators with applications in multiple attribute decision making

As a generalization of fuzzy set, hesitant probabilistic fuzzy set and pythagorean triangular fuzzy set have their own unique advantages in describing decision information. As modern socioeconomic decision-making problems are becoming more and more complex, it also becomes more and more difficult to appropriately depict decision makers' cognitive information in decision-making process. In order to describe the decision information more comprehensively, we define a pythagorean probabilistic hesitant triangular fuzzy set (PPHTFS) by combining the pythagorean triangular fuzzy set and the probabilistic hesitant fuzzy set. Firstly, the basic operation and scoring function of the pythagorean probabilistic hesitant triangular fuzzy element (PPHTFE) are proposed, and the comparison rule of two PPHTFEs is given. Then, some pythagorean probabilistic hesitant triangular fuzzy aggregation operators are developed, and their properties are also studied. Finally, a multi-attribute decision-making (MADM) model is constructed based on the proposed operators under the pythagorean probabilistic hesitant triangular fuzzy information, and an illustration example is given to demonstrate the practicability and validity of the proposed decision-making method.

Performance evaluation of supply chain cooperation for manufacturing corporations with hesitant triangular fuzzy information

Currently, with the rapid development of the globalization and the increasing competition of the market, competitions among enterprises gradually give way to competitions between supply chains, and the relationship between enterprises within the supply chain gradually shift from competition to coo peration. In China, although the development trend of cooperation is inevitable, but the supply chain management is immature, especially for the large number of manufacturing corporations, most of which lack professional experiences. All of these have important theoretical and practical meaning for the supply chain collaboration and supply chain performance evaluation of manufacturing corporations. In this paper, we investigate the multiple attribute decision making(MADM) problems using the hesitant triangular fuzzy information. Then, we have developed the hesitant triangular fuzzy geometric Bonferroni Mean (HTFGBM) operator and hesitant triangular fuzzy weighted geometric Bonferroni Mean (HTFWGBM) operator. We have utilized the HTFWGBM operator to MADM for evaluating the performance of supply chain cooperation for manufacturing corporations with hesitant triangular fuzzy information. Finally, an illustrative example is proposed to demonstrate the effectiveness of our proposed method.

Novel model for evaluating the finance achievements of transnational corporation with hesitant triangular fuzzy information

We study on the multiple attribute decision making problems using the hesitant triangular fuzzy information. Afterwards, we have designed the hesitant triangular fuzzy generalized Bonferroni Mean (HTFGBM) operator and hesitant triangular fuzzy genera

Novel decision-making approach based on hesitant fuzzy sets and graph theory

Hesitant fuzzy set is a powerful and effective tool to express uncertain information in multi-attribute decision-making (MADM) process, as it permits the membership degree of an element to a set represented by several possible values in [0,1]. In this paper, we develop a new decision-making approach based on graph theory to deal with the MADM problems, in which the decision information is expressed by hesitant fuzzy elements. Meanwhile, we generalize this approach to make it suitable for processing interval-valued hesitant fuzzy and hesitant triangular fuzzy information. Moreover, we utilize the numerical examples concerning the energy project selection and software evaluation to show the detailed implementation procedure and reliability of our method in solving MADM problems under hesitant fuzzy, interval-valued hesitant fuzzy and hesitant triangular fuzzy environment.

Hesitant triangular intuitionistic fuzzy information and its application to multi-attribute decision making problem

Hesitant triangular intuitionistic fuzzy information and its application to multi-attribute decision making problem

Model for multiple attribute decision making with hesitant triangular fuzzy information and its applications

We study on the multiple attribute decision making problems using the hesitant triangular fuzzy information. Afterwards, we have designed the hesitant triangular fuzzy Bonferroni Mean (HTFBM) operator and hesitant triangular fuzzy weighted Bonferroni Mean (HTFWBM) operator. We have utilized the HTF WBM operator to multiple attribute decision making for evaluating the risk of the e-commerce enterprises with hesitant triangular fuzzy information. In the end, an illustrative example for evaluating the risk of the e-commerce enterprises is proposed to demonstrate the effectiveness of our proposed method.

Hesitant triangular fuzzy information aggregation in multiple attribute decision making

In this paper, we investigate the hesitant fuzzy multiple attribute decision making with incomplete weight information. An optimization model based on the maximizing deviation method, by which the ...

Approach to multiple attribute decision making with hesitant triangular fuzzy information and their application to customer credit risk assessment

We investigate the multiple attribute decision making (MADM) problems with hesitant triangular fuzzy information. Firstly, some operational laws of hesitant triangular fuzzy elements and score function of hesitant fuzzy elements are introduced. Then, we have developed the hesitant triangular fuzzy choquet ordered geometric (HTFCOG) operator. The prominent charac- teristic of the operators is that they can not only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have applied the HTFCOG operators to multiple attribute decision making for evaluating the customer credit risk of commercial bank with hesitant triangular fuzzy information. Finally an illustrative example for evaluating the customer credit risk of commercial bank has been given to show the developed method.

Hesitant triangular fuzzy information aggregation in multiple attribute decision making

In this paper, we investigate the hesitant fuzzy multiple attribute decision making with incomplete weight information. An optimization model based on the maximizing deviation method, by which the attribute weight can be determined, is established. For the special situations where the information about attribute weights is completely unknown, we establish another optimization model. By solving this model, we get a simple and exact formula, which can be used to determine the attribute weights. We utilize the hesitant fuzzy weighted averaging HFWA operator to aggregate the hesitant fuzzy information corresponding to each alternative, and then rank the alternatives and select the most desirable ones according to the score function. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effective. In this paper, we investigate the multiple attribute decision making MADM problems in which attribute values take the form of hesitant triangular fuzzy information. Firstly, definition and some operational laws of hesitant triangular fuzzy elements and score function of hesitant triangular fuzzy elements are introduced. Then, we have developed some hesitant triangular fuzzy aggregation operators: the hesitant triangular fuzzy weighted averaging HTFWA operator, hesitant triangular fuzzy weighted geometric HTFWG operator, hesitant triangular fuzzy ordered weighted averaging HTFOWA operator, hesitant triangular fuzzy ordered weighted geometric HTFOWG operator, hesitant triangular fuzzy hybrid average HTFHA operator and hesitant triangular fuzzy hybrid geometric HTFHG operator. We have applied the hesitant triangular fuzzy weighted averaging HTFWA operator, hesitant triangular fuzzy weighted geometric HTFWG operators to multiple attribute decision making with hesitant triangular fuzzy information. Finally an illustrative example has been given to show the developed method.

Hesitant triangular fuzzy information aggregation operators based on Bonferroni means and their application to multiple attribute decision making.

We investigate the multiple attribute decision-making (MADM) problems with hesitant triangular fuzzy information. Firstly, definition and some operational laws of hesitant triangular fuzzy elements are introduced. Then, we develop some hesitant triangular fuzzy aggregation operators based on Bonferroni means and discuss their basic properties. Some existing operators can be viewed as their special cases. Next, we apply the proposed operators to deal with multiple attribute decision-making problems under hesitant triangular fuzzy environment. Finally, an illustrative example is given to show the developed method and demonstrate its practicality and effectiveness.

Approach to multiple attribute decision making based on the intelligence computing with hesitant triangular fuzzy information and their application

Approach to multiple attribute decision making based on the intelligence computing with hesitant triangular fuzzy information and their application

Models for multiple attribute decision making method in hesitant triangular fuzzy setting

We investigate the multiple attribute decision making (MADM) problems in which attribute values take the form of hesitant triangular fuzzy information. Firstly, some operational laws of hesitant triangular fuzzy elements and score function of hesitant fuzzy elements are introduced. Then, we have developed the hesitant triangular fuzzy choquet ordered averaging (HTFCOA) operator. The prominent characteristic of the operators is that they can not only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have applied the HTFCOA operators to multiple attribute decision making for potential evaluation of emerging technology commercialization projects with hesitant triangular fuzzy information. Finally an illustrative example for potential evaluation of emerging technology commercialization projects has been given to show the developed method.

Hesitant triangular fuzzy information aggregation based on Einstein operations and their application to multiple attribute decision making

In this paper, we investigate the multiple attribute decision making (MADM) problems in which attribute values take the form of hesitant triangular fuzzy information. Firstly, definition and some operational laws of hesitant triangular fuzzy elements and score function of hesitant triangular fuzzy elements are introduced. Then, we have developed some hesitant triangular fuzzy aggregation operators based on the Einstein operation: the hesitant triangular fuzzy Einstein weighted averaging (HTFEWA) operator, hesitant triangular fuzzy Einstein weighted geometric (HTFEWG) operator, hesitant triangular fuzzy Einstein ordered weighted averaging (HTFEOWA) operator, hesitant triangular fuzzy Einstein ordered weighted geometric (HTFEOWG) operator, hesitant triangular fuzzy Einstein hybrid average (HTFEHA) operator and hesitant triangular fuzzy Einstein hybrid geometric (HTFEHG) operator. We have applied the hesitant triangular fuzzy Einstein weighted averaging (HTFEWA) operator, hesitant triangular fuzzy Einstein weighted geometric (HTFEWG) operators to multiple attribute decision making with hesitant triangular fuzzy information. Finally an illustrative example has been given to show the developed method.

An Approach to Evaluating The Teaching Quality of University with Hesitant Triangular Fuzzy Information

An Approach to Evaluating The Teaching Quality of University with Hesitant Triangular Fuzzy Information