Title: Pascal's triangle graded mean defuzzification approach for solving fuzzy assignment models by using pentagonal fuzzy numbers

Authors: Zeina Mueen Mohammed

Addresses: Studies and Planning Department, University of Baghdad, Iraq

Abstract: The fuzzy assignment models (FAMs) have been explored by various literature to access classical values, which are more precise in our real-life accomplishment. The novelty of this paper contributed positively to a unique application of pentagonal fuzzy numbers for the evaluation of FAMs. The new method namely Pascal's triangle graded mean (PT-GM) has presented a new algorithm in accessing the critical path to solve the assignment problems (AP) based on the fuzzy objective function of minimising total cost. The results obtained have been compared to the existing methods such as, the centroid formula (CF) and centroid formula integration (CFI). It has been demonstrated that operational efficiency of this conducted method is exquisitely developing an optimal solution (Opt. Sol.) depending on the corresponding path by the new tender algorithm.

Keywords: centroid formula; centroid formula integration; CFI; fuzzy assignment models; FAMs; optimal solution; Opt. Sol.; Pascal's triangle graded mean; PT-GM; pentagonal fuzzy numbers; PFNs.

DOI: 10.1504/IJOR.2024.138922

International Journal of Operational Research, 2024 Vol.50 No.2, pp.236 - 245

Received: 20 Aug 2021
Accepted: 25 Sep 2021
Published online: 04 Jun 2024 *

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