A similarity measure for atanassov intuitionistic fuzzy sets and its application to clustering

Khan, Mohd Shoaib; Lohani, Q. M. Danish

doi:10.1109/iwci.2016.7860372

Cited by 16 publications

(9 citation statements)

References 24 publications

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“…Li and Wu [12] presented the intuitionistic fuzzy cross-entropy distance and grey correlation analysis method. Khan and Lohani [13] defined the similarity measure of IFNs through the distance measure of bounded variation. Li, Liu, Liu, Su, and Wu [14] built the grey target decision-making for IFNs.…”

Section: Literature Reviewmentioning

confidence: 99%

IF-MABAC Method for Evaluating the Intelligent Transportation System with Intuitionistic Fuzzy Information

2021

Journal of Mathematics

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Intelligent transportation system (ITS) is the development direction of the future traffic system. ITS can effectively employ the existing traffic facilities and ensure the safety of traffic, urban traffic, and public security management for effective control in order to satisfy people’s travel demand. Therefore, the results of the system in-depth understanding and objective evaluation are very necessary. And it is frequently regarded as a multiattribute group decision-making (MAGDM) issue. Thus, a novel MAGDM method is required to tackle it. Depending on the conventional multiattributive border approximation area comparison (MABAC) method and intuitionistic fuzzy sets (IFSs), this article designs a novel intuitive distance-based IF-MABAC method to assess the performance of financial management. First of all, a related literature review is conducted. Furthermore, some necessary theories related to IFSs are briefly reviewed. In addition, since subjective randomness frequently exists in determining criteria weights, the weights of criteria are decided objectively by utilizing the maximizing deviation method. Afterwards, relying on novel distance measures between intuitionistic fuzzy numbers (IFNs), the conventional MABAC method is extended to the IFSs to calculate the final value of each enterprise. Therefore, all enterprises can be ranked, and the one with the best environmental behaviors and awareness can be identified. Eventually, an application for evaluating the intelligent transportation system and some comparative analyses have been given. The results illustrate that the designed algorithm is useful for assessing the performance of financial management.

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Section: Literature Reviewmentioning

confidence: 99%

IF-MABAC Method for Evaluating the Intelligent Transportation System with Intuitionistic Fuzzy Information

2021

Journal of Mathematics

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“…Li and Wu [8] presented a comprehensive decision method based on the intuitionistic fuzzy cross entropy distance and the grey correlation analysis. Khan, Lohani and Ieee [9] put forward a novel similarity measure about IFNs depending on the distance measure of a double sequence of a bounded variation. Li et al [10] developed a grey target decision-making method in the form of IFNs on the basis of grey relational analysis [11].…”

Section: Introductionmentioning

confidence: 99%

An EDAS Method for Multiple Attribute Group Decision-Making under Intuitionistic Fuzzy Environment and Its Application for Evaluating Green Building Energy-Saving Design Projects

Liang

2020

Symmetry

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Multiple attribute group decision-making (MAGDM) methods have a significant influence on decision-making in a variety of strategic fields, including science, business and real-life studies. The problem of evaluation in green building energy-saving design projects could be regarded as a type of MAGDM problem. The evaluation based on distance from average solution (EDAS) method is one of the MAGDM methods, which simplifies the traditional decision-making process. Symmetry among some attributes that are known and unknown as well as between pure attribute sets and fuzzy attribute membership sets can be an effective way to solve MAGDM problems. In this paper, the classical EDAS method is extended to intuitionistic fuzzy environments to solve some MAGDM issues. First, some concepts of intuitionistic fuzzy sets (IFSs) are briefly reviewed. Then, by integrating the EDAS method with IFSs, we establish an IF-EDAS method to solve the MAGDM issues and present all calculating procedures in detail. Finally, we provide an empirical application for evaluating green building energy-saving design projects to demonstrate this novel method. Some comparative analyses are also made to show the merits of the method.

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“…Liang et al [7] extended the MABAC method to IFSs by utilizing the novel distance measures. Khan and Lohani [8] put forward a novel similarity measure about IFNs depending on the distance measure of the double sequence of bounded variation. Chen et al [9] developed the novel MCDM method based on the TOPSIS method and similarity measures in the context of IFSs.…”

Section: Introductionmentioning

confidence: 99%

Research on Evaluating Algorithms for the Service Quality of Wireless Sensor Networks Based on Interval-Valued Intuitionistic Fuzzy EDAS and CRITIC Methods

Wang

2020

Mathematical Problems in Engineering

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Wireless sensor networks play an important role in economic production and social life. However, in recent years, the number of wireless sensor network vulnerabilities has been increasing rapidly, which makes wireless sensor networks face more and more severe challenges. It is of great significance to realize the quantitative evaluation of wireless sensor networks in order to maintain the service quality of wireless sensor networks more effectively. The evaluating problem of the service quality of wireless sensor networks is a kind of multiple attribute group decision-making (MAGDM) problem. In this paper, depending on the classical EDAS method, the EDAS method will be extended to interval-valued intuitionistic fuzzy sets (IVIFSs) to address some MAGDM issues. At first, some essential concepts of IVIFSs are briefly reviewed. Subsequently, relying on the CRITIC method, the attributes’ weights are decided. Furthermore, integrating the EDAS method with IVIFSs, IVIF-EDAS method is established, and all calculating procedures are depicted. Finally, an empirical application for evaluating the service quality of wireless sensor networks is given to demonstrate this novel algorithm, and some comparative analyses are made to confirm the merits of the designed method.

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A similarity measure for atanassov intuitionistic fuzzy sets and its application to clustering

Cited by 16 publications

References 24 publications

IF-MABAC Method for Evaluating the Intelligent Transportation System with Intuitionistic Fuzzy Information

IF-MABAC Method for Evaluating the Intelligent Transportation System with Intuitionistic Fuzzy Information

An EDAS Method for Multiple Attribute Group Decision-Making under Intuitionistic Fuzzy Environment and Its Application for Evaluating Green Building Energy-Saving Design Projects

Research on Evaluating Algorithms for the Service Quality of Wireless Sensor Networks Based on Interval-Valued Intuitionistic Fuzzy EDAS and CRITIC Methods

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