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Dombi operations for linguistic T-spherical fuzzy number: an approach for selection of the best variety of maize

  • Fuzzy systems and their mathematics
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Abstract

The operations proposed by Dombi based on t-norn (TN) and t-corom (TCN) are generally known as Dombi operations, which offer versatility in the working behavior of parameters. Over the last decade, group decision-making has been a very active research field. Especially, the development of new operational rules, aggregation operators, and multi-attribute group decision-making techniques based on these rules and operators have recently piqued the interest of scientists. Acknowledging the importance of t-spherical fuzzy sets and linguistic variable in this paper, firstly, we define the notion of linguistic T-spherical fuzzy set (Lt-SFS) where membership degree, abstinence degree and non-membership degree are presented in the form of linguistic variables. Dombi operations, score function, accuracy function for linguistic T-spherical fuzzy numbers (Lt-SFNs) are defined and some prominent properties of Dombi operations are then investigated. Furthermore, two aggregations operators based on Dombi operations namely, linguistic t-spherical fuzzy Dombi weighted averaging operator and linguistic t-spherical fuzzy Dombi weighted geometric operator are also developed. At that point, these Dombi operators are used to establish an extension of the technique for order of preference by similarity to ideal solution (TOPSIS) method, and a multi-attribute group decision-making approach is proposed to solve decision-making problems which is the key innovation of this paper. Finally, we apply the proposed technique for the selection of the best variety of maize and a comparison analysis is provided to demonstrate its applicability and feasibility.

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Acknowledgements

The authors are thankful to the anonymous reviewers for their valuable comments and constructive suggestions that have led to an improved version of this paper.

Funding

This work was supported by the National Natural Science Foundation of China (Nos. 71871001, 71771001, 72001001); Natural Science Foundation for Distinguished Young Scholars of Anhui Province (No. 1908085J03); Research Funding Project of Academic and technical leaders and reserve candidates in Anhui Province (No.2018H179).

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Authors and Affiliations

  1. School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, China

    Shahid Hussain Gurmani, Huayou Chen & Yuhang Bai

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  1. Shahid Hussain Gurmani
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  2. Huayou Chen
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Contributions

Shahid Hussain Gurmani: Conceptualization, Formal analysis, Writing – original draft, Writing – review & editing, Methodology. Huayou Chen: Supervision, Investigation, Validation, Writing—review & editing. Yuhang Bai: Calculation, Software.

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Correspondence to Huayou Chen.

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Gurmani, S.H., Chen, H. & Bai, Y. Dombi operations for linguistic T-spherical fuzzy number: an approach for selection of the best variety of maize. Soft Comput 26, 9083–9100 (2022). https://doi.org/10.1007/s00500-022-07307-1

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