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Bonferroni mean aggregation operators under q-rung linear diophantine fuzzy hypersoft set environment and its application in multi-attribute decision making

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Abstract

q-Rung linear diophantine fuzzy set is a significant extension of fuzzy set theory and soft set theory was widened into hypersoft set theory. In this manuscript, the conception of q-rung linear Diophantine fuzzy hypersoft set is described by merging both q-rung linear Diophantine fuzzy set and hypersoft set, along with some of its operations. Also, some new bonferroni mean and weighted bonferroni mean operators under q-rung linear diophantine fuzzy hypersoft set environment are described for aggregating the different information of decision makers. Further, a multi-attribute decision making approach based on proposed operators is described and a problem of choosing sustainable alternative marine fuel is discussed as an illustrative example for the proposed approach. A comparative analysis between the proposed and existing aggregation operators has been performed to describe the superiority of proposed works.

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Acknowledgements

The manuscript has been written with the joint financial support of RUSA-Phase 2.0 grant sanctioned vide letter No.F 24–51/2014-U, Policy (TN Multi-Gen), Dept. of Edn. Govt. of India, Dt. 09.10.2018, DST-PURSE 2nd Phase programme vide letter No. SR/PURSE Phase 2/38 (G) Dt. 21.02.2017 and DST (FIST—level I) 657,876,570 vide letter No.SR/FIST/MS-I/2018/17 Dt. 20.12.2018.

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Authors and Affiliations

  1. Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, 630003, India

    AN. Surya, J. Vimala & M. Tamil Vizhi

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  1. AN. Surya
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  2. J. Vimala
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  3. M. Tamil Vizhi
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Contributions

Study conception and design: A.S, J.V; analysis and interpretation of results: A.S, M.T; review and validation: A.S, J.V; draft manuscript preparation: A.S, J.V, M.T. All authors reviewed the results and approved the final version of the manuscript.

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Correspondence to J. Vimala.

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Surya, A., Vimala, J. & Vizhi, M.T. Bonferroni mean aggregation operators under q-rung linear diophantine fuzzy hypersoft set environment and its application in multi-attribute decision making. Int. j. inf. tecnol. (2024). https://doi.org/10.1007/s41870-024-01837-7

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