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Article type: Research Article
Authors: Kaur, Arshdeepa | Kumar, Amita | Appadoo, S.S.b; *
Affiliations: [a] School of Mathematics, Thapar Institute of Engineering & Technology (Deemed to be University), Patiala, Punjab, India | [b] Department of Supply Chain Management, University of Manitoba, Winnipeg, Manitoba, Canada
Correspondence: [*] Corresponding author. S.S. Appadoo, Department of Supply Chain Management, University of Manitoba, Winnipeg, Manitoba, R3T 5V4, Canada. E-mail: [email protected].
Abstract: Bhardwaj and Kumar (J. Optim. Theory Appl. 163(2), 685-696 (2014)) pointed out that Khan et al. (J. Optim. Theory Appl. 159(2), 536-546 (2013)) have assumed some mathematical incorrect assumptions in their proposed method for solving fully fuzzy linear programming problems (FFLPPs). However, Khan et al. (J. Optim. Theory Appl. 173(1), 353-356 (2017)) replied that their proposed method is valid and no mathematical incorrect assumptions have been considered. The aim of this commentary is to make the researchers aware that Khan et al. (J. Optim. Theory Appl. 173(1), 353-356 (2017)) are misleading the others. In actual case, Khan et al. (J. Optim. Theory Appl. 159(2), 536-546 (2013)) have considered mathematical incorrect assumptions in their proposed method due to which some of the elements of the optimal simplex table, obtained by Khan et al. (J. Optim. Theory Appl. 159(2), 536-546 (2013)), are not triangular fuzzy numbers.
Keywords: FFLPPs, simplex method, ranking function
DOI: 10.3233/JIFS-181527
Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 6, pp. 5685-5691, 2019
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