Abstract
To the best of our knowledge, only the existing approach (Rabiei et al. in Soft Comput 18(10), 2043–2059, 2014) has been proposed to construct a full interval-valued fuzzy linear regression model [a regression model when the observation of the response, independent variables as well as the regression coefficients are triangular interval-valued fuzzy numbers (TIVFNs)]. However, after a deep study, it is observed that a mathematical incorrect assumption has been considered in this approach. Furthermore, it is observed that to resolve this mathematical incorrect assumption, there is a need to propose the multiplication of an unrestricted TIVFN (regression coefficient) with a restricted TIVFN [observed values of independent variable(s)]. Keeping the same in mind, in this paper, the same type of multiplication is proposed, and with the help of proposed multiplication, a modified approach is proposed to construct a full interval-valued fuzzy regression model. Also, the modified results of some existing real-life problems are obtained with the help of the modified approach.
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Acknowledgements
The authors would like to thank Associate Editor “Professor Mohammad Atif Omar” and the anonymous Reviewers for their constructive suggestions which have led to an improvement in both the quality and clarity of the paper. Furthermore, Dr. Amit Kumar would like to acknowledge the adolescent inner blessings of Mehar (lovely daughter of his cousin sister Dr. Parmpreet Kaur). He believes that MATA VAISHNO DEVI has appeared on earth in the form of Mehar, and without her blessings it would not be possible to think the ideas presented in this paper.
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Al-Qudaimi, A., Kumar, A. Comment on “Least-squares approach to regression modeling in full interval-valued fuzzy environment”. Soft Comput 23, 10019–10027 (2019). https://doi.org/10.1007/s00500-018-3556-4
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DOI: https://doi.org/10.1007/s00500-018-3556-4