Complex T-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making

Karaaslan, Faruk; Dawood, Mohammed Allaw Dawood

doi:10.1007/s40747-021-00446-2

Cited by 32 publications

(24 citation statements)

References 68 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…e aggregation operators and different decisionmaking approaches in the T-SFS environment have been effectively addressed by many researchers [30][31][32][33].…”

Section: Literature Review and Motivationmentioning

confidence: 99%

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic $T$ -Spherical Fuzzy Sets

Naz

Akram

Muhiuddin

et al. 2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The coronavirus (COVID-19) pandemic, which began in China and is fast spreading around the world, has increased the number of cases and deaths. Governments have suffered substantial damage and losses not only in the health sector but also in a variety of other areas. In this situation, it is critical to determine the most crucial vaccine that doctors and specialists should implement. In order to evaluate the many vaccines to control the COVID-19 epidemic, a decision problem based on the decisions of many experts, with some contradicting and multiple criteria, should be taken into account. This decision process is characterized as a multiattribute group decision-making (MAGDM) problem that includes uncertainty in this study. T -spherical fuzzy sets are utilized for this, allowing decision-experts to make evaluations over a larger area and better deal with complicated data. The T -spherical fuzzy set is a useful tool for dealing with uncertainty and ambiguity, especially where additional answers of the type “yes,” “no,” “abstain,” and “refusal” are required, and the 2-tuple linguistic terms are useful for the qualitative evaluation of uncertain data. From the perspective of the uncertainty surrounding the problems of MAGDM, we propose the notion of 2-tuple linguistic T -spherical fuzzy numbers (2TL T -SFNs) generated with the integration of T -spherical fuzzy numbers and 2-tuple linguistic terms. Then, the assessment based on distance from average solution (EDAS) for the ranking of alternatives based on the 2TL T -SFNs is investigated as a new decision-making strategy. This study provides the following significant contributions: (1) the procedure for constructing a 2TL T -SFNs is described, together with their aggregation operators, ranking criteria, relevant attributes, and some operational laws. (2) The traditional Maclaurin symmetric mean (MSM) operator is useful for modeling attribute interrelationships and aggregating 2TL T -SF information to tackle the MAGDM problems. A few recent MSM and dual MSM operators are being built to evaluate the 2TL T -SF information. Thus, 2-tuple linguistic T -spherical fuzzy Maclaurin symmetric mean (2TL T -SFMSM) operator, 2-tuple linguistic T -spherical fuzzy weighted Maclaurin symmetric mean (2TL T -SFWMSM) operator, 2-tuple linguistic T -spherical fuzzy dual Maclaurin symmetric mean (2TL T -SFDMSM) operator, and 2-tuple linguistic T -spherical fuzzy weighted dual Maclaurin symmetric mean (2TL T -SFWDMSM) operator are proposed. (3) We incorporate the 2TL T -SFNs into the EDAS approach and develop a new 2TL T -SF-EDAS method for solving the MAGDM problems based on the proposed aggregation operators in a 2TL T -SF environment. A case study for the selection of an optimal vaccine to control the outbreak of the COVID-19 epidemic is also presented to show the validity of the proposed methodology. Furthermore, the comparative analysis with existing approaches shows the advantages and superiority of the proposed framework.

show abstract

“…e aggregation operators and different decisionmaking approaches in the T-SFS environment have been effectively addressed by many researchers [30][31][32][33].…”

Section: Literature Review and Motivationmentioning

confidence: 99%

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic $T$ -Spherical Fuzzy Sets

Naz

Akram

Muhiuddin

et al. 2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…In the future, the presented work will be enriched by modifications of the principle of Pythagorean m-polar fuzzy sets [37,38], TOPSIS technique [39], T-spherical fuzzy sets [40], complex T-spherical fuzzy sets [41,42], complex neutrosophic sets [43,44], com-…”

Section: Analyze Price-to-earnings (P/e) Ratiomentioning

confidence: 99%

Power Muirhead Mean Operators for Interval-Valued Linear Diophantine Fuzzy Sets and Their Application in Decision-Making Strategies

et al. 2021

View full text Add to dashboard Cite

It is quite beneficial for every company to have a strong decision-making technique at their disposal. Experts and managers involved in decision-making strategies would particularly benefit from such a technique in order to have a crucial impact on the strategy of their company. This paper considers the interval-valued linear Diophantine fuzzy (IV-LDF) sets and uses their algebraic laws. Furthermore, by using the Muirhead mean (MM) operator and IV-LDF data, the IV-LDF power MM (IV-LDFPMM) and the IV-LDF weighted power MM (IV-LDFWPMM) operators are developed, and some special properties and results demonstrated. The decision-making technique relies on objective data that can be observed. Based on the multi-attribute decision-making (MADM) technique, which is the beneficial part of the decision-making strategy, examples are given to illustrate the development. To demonstrate the advantages of the developed tools, a comparative analysis and geometrical interpretations are also provided.

show abstract

“… 2020 ; Rahman 2019 ), Hamacher operator (Jin et al. 2021 ), Domby operator (Karaaslan and Dawood 2021 ) in various uncertain environments. Sinani et al.…”

Section: Introductionmentioning

confidence: 99%

Selection of most effective COVID-19 virus protector using a novel MCGDM technique under linguistic generalised spherical fuzzy environment

2022

View full text Add to dashboard Cite

In this article, we have introduced a new linguistic generalized spherical fuzzy set by combining the idea of generalized spherical fuzzy set and linguistic fuzzy set. Linguistic generalized spherical fuzzy set is described by linguistic positive, linguistic neutral and linguistic negative membership degrees with the condition that the square sum of its linguistic membership degrees is less than or equal to 3 which deal with the uncertain and imprecise information in decision making in a much more suitable way. We have discussed some basic operations of linguistic generalized spherical fuzzy sets and introduced new score and accuracy functions to compare any two linguistic generalized spherical fuzzy numbers. We have developed various types of aggregation operators based on the newly defined linguistic generalized spherical fuzzy set, which have been manifested to construct a new multi-criteria group decision-making technique. Numerical example has been presented to demonstrate the proposed model. Finally, sensitivity and comparative analysis is performed to show the reliability and efficiency of the new multi-criteria group decision-making technique.

show abstract

Complex T-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making

Cited by 32 publications

References 68 publications

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic $T$ -Spherical Fuzzy Sets

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic $T$ -Spherical Fuzzy Sets

Power Muirhead Mean Operators for Interval-Valued Linear Diophantine Fuzzy Sets and Their Application in Decision-Making Strategies

Selection of most effective COVID-19 virus protector using a novel MCGDM technique under linguistic generalised spherical fuzzy environment

Contact Info

Product

Resources

About

Complex T-spherical fuzzy Dombi aggregation operators and their applications in multiple-criteria decision-making

Cited by 32 publications

References 68 publications

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic T -Spherical Fuzzy Sets

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic T -Spherical Fuzzy Sets

Power Muirhead Mean Operators for Interval-Valued Linear Diophantine Fuzzy Sets and Their Application in Decision-Making Strategies

Selection of most effective COVID-19 virus protector using a novel MCGDM technique under linguistic generalised spherical fuzzy environment

Contact Info

Product

Resources

About

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic $T$ -Spherical Fuzzy Sets

Modified EDAS Method for MAGDM Based on MSM Operators with 2-Tuple Linguistic $T$ -Spherical Fuzzy Sets