Solving the Single-Valued Trapezoidal Neutrosophic Transportation Problems through the Novel Dhouib-Matrix-TP1 Heuristic

Abstract

The transportation problem has been widely studied in the field of supply chain management where circulation of products with a minimal transportation cost is an important issue. This paper presents the first adaptation of the Dhouib-Matrix-TP1 heuristic to solve the transportation problem in single-valued trapezoidal neutrosophic environment. Hence, the recently developed Dhouib-Matrix-TP1 heuristic is enriched with two functions to solve the neutrosophic transportation problem. On the one hand, a defuzzification function is exploited in order to convert the single-valued trapezoidal neutrosophic numbers to crisp numbers. On the other hand, an original metric function (Average-Min) is proposed with the intention of performing the nodes selection process. With an illustration from a literature example, we show to the decision maker the multiple advantages of the novel heuristic Dhouib-Matrix-TP1 which can be easily implemented in real-life industrial transportation under neutrosophic environment.

Faster than Dijkstra and A* Methods for the Mobile Robot Path Planning Problem Using Four Movement Directions: The Dhouib-Matrix-SPP-4

“…The DM-SPP method is developed under the general concept of Dhouib-Matrix (DM) where several heuristics (DM-TSP1 in [6][7][8][9][10][11], DM-AP1 in [12][13][14][15] and DM-TP1 in [16][17]), Metaheuristics (DM3 in [18][19][20][21], DM4 [22][23][24][25][26] and FtN in [27]) and optimal methods (DM-MSTP in [28] and DM-SPP in [4,5]) are developed.…”

Solving the trapezoidal fuzzy assignment problem using the novel Dhouib-Matrix-AP1 heuristic

“…Moreover, for the travelling salesman problem, two heuristics are proposed: the DM-TSP1 and the DM-TSP2 in [59]. Furthermore, a novel heuristic named DM-TP1 is introduced for the transportation problem in [60]. In addition, an iterated stochastic metaheuristic named Dhouib-Matrix-3 (DM3) is intended in [61], a local search metaheuristic entitled Far-to-Near (FtN) is presented in [61] and a multi-start metaheuristic (based on several differential statistical metrics) entitled Dhouib-Matrix-4 (DM4) is studied in [62].…”

Enhancing Efficiency Assessment of Egyptian Pharmaceutical Companies through the Usage of Two-Stage Uncertainty Data Envelopment Analysis Algorithm

“…Given L s, δ s, F s ∈ [0, 1] and a real value a, b, c ∈ R such that a ≤ b ≤ c, a singlevalued triangular fuzzy neutrosophic set (SVTFN), denoted as STFN = a, b, c; L s , δ s , F s , emerges as a distinct NS on the real numbers (R). In this context, the functions membership for truth, indeterminacy, and falsity, as defined by [82], are outlined as follows…”