Abstract
This paper deals with the notions called fuzzy \(\alpha \)-cut, fuzzy strict \(\alpha \)-cut and their properties. Algebraic structures arising out of the family of fuzzy \(\alpha \)-cuts and fuzzy strict \(\alpha \)-cuts have been investigated. Some significance and usefulness of fuzzy \(\alpha \)-cuts are discussed.
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Acknowledgements
We are thankful to Prof. Mohua Banerjee for her valuable comments and suggestion on the present version of the paper. Part of this work was done when the first author was a post doctoral fellow at “The Institute of Mathematical Sciences (IMSc.), Chennai” and she is thankful to the institute for the work environment that they had provided.
Funding
This study was funded by Department of Science & Technology, Government of India (SR/WOS-A/PM-1010/2014 and SR/WOS-A/PM-52/2018) under Women Scientist Scheme A.
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The first author declares that she has no conflict of interest. The second author declares that he has no conflict of interest.
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The corresponding author acknowledges Department of Science and Technology, Government of India for financial support vide reference nos. SR/WOSA/PM-1010/2014 and SR/WOS-A/PM-52/2018 under Women Scientist Scheme to carry out this work.
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Jana, P., Chakraborty, M.K. Fuzzy \(\alpha \)-cut and related mathematical structures. Soft Comput 25, 207–213 (2021). https://doi.org/10.1007/s00500-020-05131-z
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DOI: https://doi.org/10.1007/s00500-020-05131-z